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Last updated: 2024-09-04

Checks: 7 0

Knit directory: KODAMA-Analysis/

This reproducible R Markdown analysis was created with workflowr (version 1.7.1). The Checks tab describes the reproducibility checks that were applied when the results were created. The Past versions tab lists the development history.

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Repository version: 3f515c0

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Ignored files:
    Ignored:    .Rhistory

Untracked files:
    Untracked:  Elemina.RData
    Untracked:  data/spots_classification_ALL.csv
    Untracked:  data/trajectories.RData
    Untracked:  data/trajectories_VISIUMHD.RData
    Untracked:  elimina_table.RData
    Untracked:  output/DLFPC-All-2-3000-300-0.4.RData
    Untracked:  output/DLFPC-All.RData
    Untracked:  output/DLFPC-Br5292-2-3000-300-0.3.RData
    Untracked:  output/DLFPC-Br5292.RData
    Untracked:  output/DLFPC-Br5595-2-3000-300-0.3.RData
    Untracked:  output/DLFPC-Br5595.RData
    Untracked:  output/DLFPC-Br8100-2-3000-300-0.3.RData
    Untracked:  output/DLFPC-Br8100.RData
    Untracked:  output/MERFISH.RData
    Untracked:  output/Prostate.RData
    Untracked:  output/VisiumHD.RData
    Untracked:  output/VisiumHD2.RData
    Untracked:  output/VisiumHD3.RData
    Untracked:  output/image.RData

Unstaged changes:
    Deleted:    analysis/DLPFC-12.Rmd
    Deleted:    analysis/DLPFC-4.Rmd
    Modified:   analysis/DLPFC.Rmd
    Modified:   analysis/Giotto.Rmd
    Modified:   analysis/MERFISH.Rmd
    Modified:   analysis/Prostate.Rmd
    Deleted:    analysis/STARmap.Rmd

Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.

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These are the previous versions of the repository in which changes were made to the R Markdown (analysis/VisiumHD.Rmd) and HTML (docs/VisiumHD.html) files. If you’ve configured a remote Git repository (see ?wflow_git_remote), click on the hyperlinks in the table below to view the files as they were in that past version.

File	Version	Author	Date	Message
Rmd	3f515c0	Stefano Cacciatore	2024-09-04	Start my new project
html	51b0452	Stefano Cacciatore	2024-09-03	Build site.
Rmd	c257b0e	Stefano Cacciatore	2024-09-03	Start my new project
Rmd	22e2ac6	Stefano Cacciatore	2024-08-26	Start my new project
html	d1192e9	Stefano Cacciatore	2024-08-12	Build site.
Rmd	5ef8148	Stefano Cacciatore	2024-08-12	Start my new project
html	3374e66	Stefano Cacciatore	2024-08-06	Build site.
html	35ce733	Stefano Cacciatore	2024-08-03	Build site.
html	82fe167	Stefano Cacciatore	2024-07-24	Build site.
Rmd	b422e43	Stefano Cacciatore	2024-07-24	Start my new project
html	6f7daac	Stefano Cacciatore	2024-07-19	Build site.
Rmd	5b97082	tkcaccia	2024-07-15	updates
Rmd	7be8f59	tkcaccia	2024-07-15	updates
html	7be8f59	tkcaccia	2024-07-15	updates
Rmd	79f73a2	GitHub	2024-07-14	Update VisiumHD.Rmd
html	f8ca54a	tkcaccia	2024-07-14	update
html	d04c1e7	GitHub	2024-07-08	Update VisiumHD.html
html	754c8bf	GitHub	2024-07-04	Update VisiumHD.html
html	ee4ee17	GitHub	2024-06-19	Add files via upload
Rmd	615fc05	GitHub	2024-06-19	Add files via upload

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Describe your project. The data can be downloaded using the following script: VisiumHD_CRC_download.sh. This script facilitates access to the raw data, which will then be preprocessed and analyzed in the subsequent steps of our pipeline.

The data can be downloaded using the following script: VisiumHD_CRC_download.sh. This script facilitates access to the raw data, which will then be preprocessed and analyzed in the subsequent steps of our pipeline.

library("ggplot2")
library("patchwork")
library("dplyr")
library("Seurat")
library("KODAMA")
library("KODAMAextra")
library("bigmemory")

localdir="../Colorectal/outs/"
object <- Load10X_Spatial(data.dir = localdir, bin.size = c(8))


 vln.plot <- VlnPlot(object, features = "nCount_Spatial.008um", pt.size = 0) + NoLegend()
 count.plot <- SpatialFeaturePlot(object, features = "nCount_Spatial.008um", pt.size.factor = 1.2) +
   theme(legend.position = "right")

nCount_Spatial=colSums(object@assays$Spatial.008um$counts)
#w= which(nCount_Spatial >10)
#object@assays$Spatial.008um$counts= object@assays$Spatial.008um$counts[,w]
#object@meta.data=object@meta.data[w,]

sp_obj <- subset(
  object,
  subset = nCount_Spatial.008um > 100)



nCount_Spatial=colSums(sp_obj@assays$Spatial.008um$counts)


 counts=sp_obj@assays$Spatial.008um$counts
 is_mito <- grepl("(^MT-)|(^mt-)", rownames(counts))
 counts <- counts[!is_mito,]

 filter_genes_ncounts=1
 filter_genes_pcspots=0.5
 nspots <- ceiling(filter_genes_pcspots/100 *  ncol(counts))
 ix_remove <- rowSums(counts >= filter_genes_ncounts) <   nspots
 counts <- counts[!ix_remove,]

 QCgenes <- rownames(counts)

 VariableFeatures(sp_obj) = QCgenes

 rm(counts)


DefaultAssay(sp_obj) <- "Spatial.008um"
sp_obj <- NormalizeData(sp_obj)


sp_obj <- FindVariableFeatures(sp_obj)
sp_obj <- ScaleData(sp_obj)

xy=as.matrix(GetTissueCoordinates(sp_obj)[,1:2])

sp_obj <- RunPCA(sp_obj, reduction.name = "pca.008um")

dim(sp_obj)

[1]  18085 428381

plot(Seurat::Embeddings(sp_obj, reduction = "pca.008um"))

Past versions of unnamed-chunk-1-1.png

Version	Author	Date
51b0452	Stefano Cacciatore	2024-09-03
d1192e9	Stefano Cacciatore	2024-08-12
6f7daac	Stefano Cacciatore	2024-07-19
7be8f59	tkcaccia	2024-07-15

#sp_obj <- RunKODAMAmatrix(sp_obj, reduction = "pca.008um",
#                          FUN= "PLS" ,
#                          landmarks = 10000,
#                          splitting = 100,
#                          f.par.pls = 50,
#                          spatial.resolution = 0.4,
#                          n.cores=8)

#  print("KODAMA finished")
  
#     config=umap.defaults
#     config$n_threads = 8
#     config$n_sgd_threads = "auto"
#     sp_obj <- RunKODAMAvisualization(sp_obj, method = "UMAP",config=config)

     
# kk_UMAP=Seurat::Embeddings(sp_obj, reduction = "KODAMA")

# save(kk_UMAP,xy,file="output/VisiumHD.RData")

load("output/VisiumHD3.RData")   

rr=read.csv("data/spots_classification_ALL.csv",sep=",")
ss=strsplit(rr[,2],":")
ss=unlist(lapply(ss, function(x) x[2]))
ss=strsplit(ss,",")
ss=unlist(lapply(ss, function(x) x[1]))
ss=gsub("\"","",ss)

rr[,2]=ss
n=ave(1:length(rr[,1]), rr[,1], FUN = seq_along)
rr=rr[n==1,]
rownames(rr)=rr[,1]
rr=rr[rownames(kk_UMAP),]

table(rr[,"classification"])

              blood vessel     desmoplastic submucosa 
                      1370                      38054 
                 dysplasia        dysplasia_to_verify 
                     71063                      62870 
  dystrophic calcification         Invasive_carcinoma 
                       455                      39543 
  lamina propria dysplasia          muscularis mucosa 
                      6970                       4785 
        muscularis propria               normal gland 
                     18081                      29910 
     normal lamina propria       oedematous submucosa 
                     15108                       6309 
       stroma intermediate  stroma invasive carcinoma 
                      6057                      12181 

library(ggplot2)


cols=sample(rainbow(15))
labels=as.factor(rr[,"classification"])
par(xpd = T, mar = par()$mar + c(0,0,0,7))

plot(kk_UMAP,cex=0.5,pch=20,col=cols[labels])
legend(max(kk_UMAP[,1])+0.05*dist(range(kk_UMAP[,1])), max(kk_UMAP[,2]),
       levels(labels),
       col = cols,
       cex = 0.8,
       pch=20)


load("data/trajectories_VISIUMHD.RData")

data=as.matrix(sp_obj@assays$Spatial.008um$scale.data)
data=t(data)

mm1=new_trajectory (kk_UMAP,data = data,trace=tra1$xy)
mm2=new_trajectory (kk_UMAP,data = data,trace=tra2$xy)
mm3=new_trajectory (kk_UMAP,data = data,trace=tra3$xy)

Past versions of unnamed-chunk-2-1.png

Version	Author	Date
51b0452	Stefano Cacciatore	2024-09-03
d1192e9	Stefano Cacciatore	2024-08-12
82fe167	Stefano Cacciatore	2024-07-24

traj=rbind(mm1$trajectory,
           mm2$trajectory,
           mm3$trajectory)
y=rep(1:20,3)

ma=multi_analysis(traj,y,FUN="correlation.test",method="spearman")

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero
Warning in cor(rank(x), rank(y)): the standard deviation is zero

Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties
Warning in cor.test.default(x, y, method = "spearman"): Cannot compute exact
p-value with ties

Warning in cor(rank(x), rank(y)): the standard deviation is zero

ma=ma[order(as.numeric(ma$`p-value`)),]

Warning in order(as.numeric(ma$`p-value`)): NAs introduced by coercion

ma[1:20,]

      Feature   rho  p-value      FDR
973      LCN2 -0.90 1.22e-22 1.50e-19
486     CXCL2 -0.78 2.82e-13 1.48e-10
485     CXCL3 -0.78 3.62e-13 1.48e-10
1845      PI3 -0.77 1.04e-12 3.21e-10
1384     GPX2 -0.76 1.57e-12 3.85e-10
752      SOD2 -0.72 5.82e-11 1.19e-08
332     CCL20 -0.72 9.89e-11 1.74e-08
129      MUC1 -0.68 2.03e-09 3.12e-07
677    TRIM31 -0.66 8.18e-09 1.12e-06
1884    BACE2 -0.65 1.46e-08 1.79e-06
614    SPINK1 -0.65 2.39e-08 2.67e-06
482     CXCL1 -0.64 5.02e-08 5.15e-06
1816   CDC25B -0.63 6.51e-08 6.16e-06
453     S100P -0.60 4.58e-07 4.03e-05
1831      ID1 -0.59 6.07e-07 4.98e-05
223    LRATD1 -0.58 1.38e-06 1.06e-04
1748    FXYD3 -0.57 1.89e-06 1.37e-04
106  SELENBP1 -0.57 2.29e-06 1.56e-04
809     NAMPT -0.57  2.5e-06 1.62e-04
1283     LGR5  0.56 2.72e-06 1.67e-04

lab=rr[,"classification"]
sel=lab==" stroma invasive carcinoma" | lab==" stroma intermediate"
data.sel=data[which(sel),]
lab=as.factor(as.vector(lab[which(sel)]))

ma=multi_analysis(data.sel,lab)

ma=ma[order(as.numeric(ma$`p-value`)),]
ma[1:20,]

                    Feature    stroma intermediate  stroma invasive carcinoma
783    IGFBP3, median [IQR] -0.251 [-0.251 -0.251]      -0.251 [-0.251 3.156]
776     SFRP4, median [IQR] -0.223 [-0.223 -0.223]     -0.223 [-0.223 -0.223]
77       CCN1, median [IQR] -0.241 [-0.241 -0.241]     -0.241 [-0.241 -0.241]
314       FN1, median [IQR]  -0.429 [-0.429 1.338]      -0.429 [-0.429 2.452]
1907    MMP11, median [IQR] -0.217 [-0.217 -0.217]     -0.217 [-0.217 -0.217]
531     SFRP2, median [IQR]       -0.2 [-0.2 -0.2]           -0.2 [-0.2 -0.2]
1388      FOS, median [IQR] -0.445 [-0.445 -0.445]     -0.445 [-0.445 -0.445]
1743     COMP, median [IQR] -0.159 [-0.159 -0.159]     -0.159 [-0.159 -0.159]
1919    TIMP3, median [IQR]  -0.434 [-0.434 2.094]      -0.434 [-0.434 2.747]
89    COL11A1, median [IQR] -0.148 [-0.148 -0.148]     -0.148 [-0.148 -0.148]
1771     APOE, median [IQR] -0.242 [-0.242 -0.242]     -0.242 [-0.242 -0.242]
905    CTHRC1, median [IQR] -0.214 [-0.214 -0.214]     -0.214 [-0.214 -0.214]
859  ADAMDEC1, median [IQR] -0.174 [-0.174 -0.174]     -0.174 [-0.174 -0.174]
501      SPP1, median [IQR] -0.155 [-0.155 -0.155]     -0.155 [-0.155 -0.155]
887     SULF1, median [IQR] -0.221 [-0.221 -0.221]     -0.221 [-0.221 -0.221]
639     DUSP1, median [IQR] -0.304 [-0.304 -0.304]     -0.304 [-0.304 -0.304]
1357     TRAC, median [IQR] -0.218 [-0.218 -0.218]     -0.218 [-0.218 -0.218]
835     TRBC2, median [IQR] -0.206 [-0.206 -0.206]     -0.206 [-0.206 -0.206]
628     SPARC, median [IQR]    1.55 [-0.551 1.948]         1.755 [1.09 2.133]
455     HTRA3, median [IQR] -0.184 [-0.184 -0.184]     -0.184 [-0.184 -0.184]
       p-value       FDR
783  2.21e-152 4.26e-149
776  3.74e-123 3.60e-120
77   4.14e-119 2.66e-116
314  2.56e-118 1.23e-115
1907 5.01e-118 1.93e-115
531  9.59e-114 3.08e-111
1388 1.46e-108 4.03e-106
1743 1.47e-103 3.54e-101
1919  8.15e-99  1.74e-96
89    1.78e-89  3.43e-87
1771  2.09e-89  3.66e-87
905   2.36e-84  3.78e-82
859   2.43e-83  3.59e-81
501    9.4e-83  1.29e-80
887   2.47e-82  3.17e-80
639   6.48e-78  7.80e-76
1357  1.68e-77  1.90e-75
835   3.94e-76  4.22e-74
628   9.43e-68  9.56e-66
455   2.42e-64  2.33e-62

lab=rr[,"classification"]
sel=lab==" stroma invasive carcinoma" | lab==" stroma intermediate" | lab==" lamina propria dysplasia"
data.sel=data[which(sel),]
lab=as.factor(as.vector(lab[which(sel)]))

ma=multi_analysis(data.sel,lab)

ma=ma[order(as.numeric(ma$`p-value`)),]
ma[1:20,]

                  Feature  lamina propria dysplasia    stroma intermediate
84       F3, median [IQR]       -0.27 [-0.27 3.142]    -0.27 [-0.27 -0.27]
99   TENT5C, median [IQR]    -0.148 [-0.148 -0.148] -0.148 [-0.148 -0.148]
186    BTG2, median [IQR]       -0.37 [-0.37 -0.37]    -0.37 [-0.37 -0.37]
255    IGKC, median [IQR]      1.321 [-0.696 2.183]  -0.696 [-0.696 0.587]
299  COL3A1, median [IQR]      0.866 [-0.667 1.246]    1.482 [1.029 1.832]
314     FN1, median [IQR]    -0.429 [-0.429 -0.429]  -0.429 [-0.429 1.338]
316  IGFBP5, median [IQR]    -0.296 [-0.296 -0.296]  -0.296 [-0.296 2.469]
477  JCHAIN, median [IQR]     -0.327 [-0.327 2.435] -0.327 [-0.327 -0.327]
605    MZB1, median [IQR]    -0.162 [-0.162 -0.162] -0.162 [-0.162 -0.162]
628   SPARC, median [IQR]     -0.551 [-0.551 1.407]    1.55 [-0.551 1.948]
657  TXNDC5, median [IQR]     -0.549 [-0.549 1.692] -0.549 [-0.549 -0.549]
757   THBS2, median [IQR]    -0.248 [-0.248 -0.248] -0.248 [-0.248 -0.248]
776   SFRP4, median [IQR]    -0.223 [-0.223 -0.223] -0.223 [-0.223 -0.223]
795  COL1A2, median [IQR]     -0.531 [-0.531 1.251]   1.514 [-0.531 1.985]
905  CTHRC1, median [IQR]    -0.214 [-0.214 -0.214] -0.214 [-0.214 -0.214]
1018   SRGN, median [IQR]     -0.395 [-0.395 2.204]  -0.395 [-0.395 1.975]
1165  MMP12, median [IQR]     -0.257 [-0.257 2.883] -0.257 [-0.257 -0.257]
1290    LUM, median [IQR]       -0.37 [-0.37 -0.37]    -0.37 [-0.37 2.266]
1413  IGHA1, median [IQR]    -0.192 [-0.192 -0.192] -0.192 [-0.192 -0.192]
1414  IGHG1, median [IQR]     -0.397 [-0.397 2.358] -0.397 [-0.397 -0.397]
      stroma invasive carcinoma p-value       FDR
84          -0.27 [-0.27 -0.27]   0e+00  0.00e+00
99       -0.148 [-0.148 -0.148]   0e+00  0.00e+00
186         -0.37 [-0.37 -0.37]   0e+00  0.00e+00
255         -0.696 [-0.696 0.8]   0e+00  0.00e+00
299         1.618 [1.161 1.933]   0e+00  0.00e+00
314       -0.429 [-0.429 2.452]   0e+00  0.00e+00
316        -0.296 [-0.296 3.11]   0e+00  0.00e+00
477      -0.327 [-0.327 -0.327]   0e+00  0.00e+00
605      -0.162 [-0.162 -0.162]   0e+00  0.00e+00
628          1.755 [1.09 2.133]   0e+00  0.00e+00
657      -0.549 [-0.549 -0.549]   0e+00  0.00e+00
757       -0.248 [-0.248 3.085]   0e+00  0.00e+00
776      -0.223 [-0.223 -0.223]   0e+00  0.00e+00
795        1.758 [-0.531 2.217]   0e+00  0.00e+00
905      -0.214 [-0.214 -0.214]   0e+00  0.00e+00
1018     -0.395 [-0.395 -0.395]   0e+00  0.00e+00
1165     -0.257 [-0.257 -0.257]   0e+00  0.00e+00
1290        -0.37 [-0.37 2.654]   0e+00  0.00e+00
1413     -0.192 [-0.192 -0.192]   0e+00  0.00e+00
1414     -0.397 [-0.397 -0.397]   0e+00  0.00e+00

Session information

sessionInfo()

R version 4.4.1 (2024-06-14)
Platform: x86_64-pc-linux-gnu
Running under: Ubuntu 20.04.6 LTS

Matrix products: default
BLAS:   /usr/lib/x86_64-linux-gnu/blas/libblas.so.3.9.0 
LAPACK: /usr/lib/x86_64-linux-gnu/lapack/liblapack.so.3.9.0

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

time zone: Etc/UTC
tzcode source: system (glibc)

attached base packages:
[1] parallel  stats     graphics  grDevices utils     datasets  methods  
[8] base     

other attached packages:
 [1] KODAMAextra_1.0    bigmemory_4.6.4    rgl_1.3.1          misc3d_0.9-1      
 [5] e1071_1.7-14       doParallel_1.0.17  iterators_1.0.14   foreach_1.5.2     
 [9] KODAMA_3.1         umap_0.2.10.0      Rtsne_0.17         minerva_1.5.10    
[13] Seurat_5.1.0       SeuratObject_5.0.2 sp_2.1-4           dplyr_1.1.4       
[17] patchwork_1.2.0    ggplot2_3.5.1      workflowr_1.7.1   

loaded via a namespace (and not attached):
  [1] RColorBrewer_1.1-3     rstudioapi_0.16.0      jsonlite_1.8.8        
  [4] magrittr_2.0.3         ggbeeswarm_0.7.2       spatstat.utils_3.1-0  
  [7] farver_2.1.2           rmarkdown_2.27         fs_1.6.4              
 [10] vctrs_0.6.5            ROCR_1.0-11            spatstat.explore_3.3-2
 [13] base64enc_0.1-3        askpass_1.2.0          htmltools_0.5.8.1     
 [16] sass_0.4.9             sctransform_0.4.1      parallelly_1.38.0     
 [19] KernSmooth_2.23-24     bslib_0.7.0            htmlwidgets_1.6.4     
 [22] ica_1.0-3              plyr_1.8.9             plotly_4.10.4         
 [25] zoo_1.8-12             cachem_1.1.0           uuid_1.2-1            
 [28] whisker_0.4.1          igraph_2.0.3           mime_0.12             
 [31] lifecycle_1.0.4        pkgconfig_2.0.3        Matrix_1.7-0          
 [34] R6_2.5.1               fastmap_1.2.0          fitdistrplus_1.2-1    
 [37] future_1.34.0          shiny_1.9.1            digest_0.6.36         
 [40] colorspace_2.1-0       ps_1.7.7               rprojroot_2.0.4       
 [43] tensor_1.5             RSpectra_0.16-1        irlba_2.3.5.1         
 [46] progressr_0.14.0       fansi_1.0.6            spatstat.sparse_3.1-0 
 [49] httr_1.4.7             polyclip_1.10-7        abind_1.4-5           
 [52] compiler_4.4.1         proxy_0.4-27           bit64_4.0.5           
 [55] withr_3.0.0            fastDummies_1.7.4      highr_0.11            
 [58] MASS_7.3-61            openssl_2.2.0          tools_4.4.1           
 [61] vipor_0.4.7            lmtest_0.9-40          beeswarm_0.4.0        
 [64] httpuv_1.6.15          future.apply_1.11.2    goftest_1.2-3         
 [67] glue_1.7.0             callr_3.7.6            nlme_3.1-166          
 [70] promises_1.3.0         grid_4.4.1             getPass_0.2-4         
 [73] cluster_2.1.6          reshape2_1.4.4         generics_0.1.3        
 [76] hdf5r_1.3.11           gtable_0.3.5           spatstat.data_3.1-2   
 [79] class_7.3-22           tidyr_1.3.1            data.table_1.15.4     
 [82] utf8_1.2.4             spatstat.geom_3.3-2    RcppAnnoy_0.0.22      
 [85] ggrepel_0.9.5          RANN_2.6.2             pillar_1.9.0          
 [88] stringr_1.5.1          spam_2.10-0            RcppHNSW_0.6.0        
 [91] later_1.3.2            splines_4.4.1          lattice_0.22-6        
 [94] bit_4.0.5              survival_3.7-0         deldir_2.0-4          
 [97] tidyselect_1.2.1       miniUI_0.1.1.1         pbapply_1.7-2         
[100] knitr_1.48             git2r_0.33.0           bigmemory.sri_0.1.8   
[103] gridExtra_2.3          scattermore_1.2        xfun_0.45             
[106] matrixStats_1.3.0      stringi_1.8.4          lazyeval_0.2.2        
[109] yaml_2.3.9             evaluate_0.24.0        codetools_0.2-20      
[112] tcltk_4.4.1            tibble_3.2.1           cli_3.6.3             
[115] uwot_0.2.2             arrow_16.1.0           xtable_1.8-4          
[118] reticulate_1.38.0      munsell_0.5.1          processx_3.8.4        
[121] jquerylib_0.1.4        Rcpp_1.0.12            globals_0.16.3        
[124] spatstat.random_3.3-1  png_0.1-8              ggrastr_1.0.2         
[127] spatstat.univar_3.0-0  assertthat_0.2.1       dotCall64_1.1-1       
[130] listenv_0.9.1          viridisLite_0.4.2      scales_1.3.0          
[133] ggridges_0.5.6         leiden_0.4.3.1         purrr_1.0.2           
[136] rlang_1.1.4            cowplot_1.1.3