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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: eb8066e

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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

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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	eb8066e	Stefano Cacciatore	2024-09-04	Start my new project
html	0010f3c	Stefano Cacciatore	2024-09-04	Build site.
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
0010f3c	Stefano Cacciatore	2024-09-04
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

knitr::kable(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`)),]

knitr::kable(ma[1:20,])

	Feature	stroma intermediate	stroma invasive carcinoma	p-value	FDR
783	IGFBP3, median [IQR]	-0.251 [-0.251 -0.251]	-0.251 [-0.251 3.156]	2.21e-152	4.26e-149
776	SFRP4, median [IQR]	-0.223 [-0.223 -0.223]	-0.223 [-0.223 -0.223]	3.74e-123	3.60e-120
77	CCN1, median [IQR]	-0.241 [-0.241 -0.241]	-0.241 [-0.241 -0.241]	4.14e-119	2.66e-116
314	FN1, median [IQR]	-0.429 [-0.429 1.338]	-0.429 [-0.429 2.452]	2.56e-118	1.23e-115
1907	MMP11, median [IQR]	-0.217 [-0.217 -0.217]	-0.217 [-0.217 -0.217]	5.01e-118	1.93e-115
531	SFRP2, median [IQR]	-0.2 [-0.2 -0.2]	-0.2 [-0.2 -0.2]	9.59e-114	3.08e-111
1388	FOS, median [IQR]	-0.445 [-0.445 -0.445]	-0.445 [-0.445 -0.445]	1.46e-108	4.03e-106
1743	COMP, median [IQR]	-0.159 [-0.159 -0.159]	-0.159 [-0.159 -0.159]	1.47e-103	3.54e-101
1919	TIMP3, median [IQR]	-0.434 [-0.434 2.094]	-0.434 [-0.434 2.747]	8.15e-99	1.74e-96
89	COL11A1, median [IQR]	-0.148 [-0.148 -0.148]	-0.148 [-0.148 -0.148]	1.78e-89	3.43e-87
1771	APOE, median [IQR]	-0.242 [-0.242 -0.242]	-0.242 [-0.242 -0.242]	2.09e-89	3.66e-87
905	CTHRC1, median [IQR]	-0.214 [-0.214 -0.214]	-0.214 [-0.214 -0.214]	2.36e-84	3.78e-82
859	ADAMDEC1, median [IQR]	-0.174 [-0.174 -0.174]	-0.174 [-0.174 -0.174]	2.43e-83	3.59e-81
501	SPP1, median [IQR]	-0.155 [-0.155 -0.155]	-0.155 [-0.155 -0.155]	9.4e-83	1.29e-80
887	SULF1, median [IQR]	-0.221 [-0.221 -0.221]	-0.221 [-0.221 -0.221]	2.47e-82	3.17e-80
639	DUSP1, median [IQR]	-0.304 [-0.304 -0.304]	-0.304 [-0.304 -0.304]	6.48e-78	7.80e-76
1357	TRAC, median [IQR]	-0.218 [-0.218 -0.218]	-0.218 [-0.218 -0.218]	1.68e-77	1.90e-75
835	TRBC2, median [IQR]	-0.206 [-0.206 -0.206]	-0.206 [-0.206 -0.206]	3.94e-76	4.22e-74
628	SPARC, median [IQR]	1.55 [-0.551 1.948]	1.755 [1.09 2.133]	9.43e-68	9.56e-66
455	HTRA3, median [IQR]	-0.184 [-0.184 -0.184]	-0.184 [-0.184 -0.184]	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`)),]

knitr::kable(ma[1:20,])

	Feature	lamina propria dysplasia	stroma intermediate	stroma invasive carcinoma	p-value	FDR
84	F3, median [IQR]	-0.27 [-0.27 3.142]	-0.27 [-0.27 -0.27]	-0.27 [-0.27 -0.27]	0e+00	0.00e+00
99	TENT5C, median [IQR]	-0.148 [-0.148 -0.148]	-0.148 [-0.148 -0.148]	-0.148 [-0.148 -0.148]	0e+00	0.00e+00
186	BTG2, median [IQR]	-0.37 [-0.37 -0.37]	-0.37 [-0.37 -0.37]	-0.37 [-0.37 -0.37]	0e+00	0.00e+00
255	IGKC, median [IQR]	1.321 [-0.696 2.183]	-0.696 [-0.696 0.587]	-0.696 [-0.696 0.8]	0e+00	0.00e+00
299	COL3A1, median [IQR]	0.866 [-0.667 1.246]	1.482 [1.029 1.832]	1.618 [1.161 1.933]	0e+00	0.00e+00
314	FN1, median [IQR]	-0.429 [-0.429 -0.429]	-0.429 [-0.429 1.338]	-0.429 [-0.429 2.452]	0e+00	0.00e+00
316	IGFBP5, median [IQR]	-0.296 [-0.296 -0.296]	-0.296 [-0.296 2.469]	-0.296 [-0.296 3.11]	0e+00	0.00e+00
477	JCHAIN, median [IQR]	-0.327 [-0.327 2.435]	-0.327 [-0.327 -0.327]	-0.327 [-0.327 -0.327]	0e+00	0.00e+00
605	MZB1, median [IQR]	-0.162 [-0.162 -0.162]	-0.162 [-0.162 -0.162]	-0.162 [-0.162 -0.162]	0e+00	0.00e+00
628	SPARC, median [IQR]	-0.551 [-0.551 1.407]	1.55 [-0.551 1.948]	1.755 [1.09 2.133]	0e+00	0.00e+00
657	TXNDC5, median [IQR]	-0.549 [-0.549 1.692]	-0.549 [-0.549 -0.549]	-0.549 [-0.549 -0.549]	0e+00	0.00e+00
757	THBS2, median [IQR]	-0.248 [-0.248 -0.248]	-0.248 [-0.248 -0.248]	-0.248 [-0.248 3.085]	0e+00	0.00e+00
776	SFRP4, median [IQR]	-0.223 [-0.223 -0.223]	-0.223 [-0.223 -0.223]	-0.223 [-0.223 -0.223]	0e+00	0.00e+00
795	COL1A2, median [IQR]	-0.531 [-0.531 1.251]	1.514 [-0.531 1.985]	1.758 [-0.531 2.217]	0e+00	0.00e+00
905	CTHRC1, median [IQR]	-0.214 [-0.214 -0.214]	-0.214 [-0.214 -0.214]	-0.214 [-0.214 -0.214]	0e+00	0.00e+00
1018	SRGN, median [IQR]	-0.395 [-0.395 2.204]	-0.395 [-0.395 1.975]	-0.395 [-0.395 -0.395]	0e+00	0.00e+00
1165	MMP12, median [IQR]	-0.257 [-0.257 2.883]	-0.257 [-0.257 -0.257]	-0.257 [-0.257 -0.257]	0e+00	0.00e+00
1290	LUM, median [IQR]	-0.37 [-0.37 -0.37]	-0.37 [-0.37 2.266]	-0.37 [-0.37 2.654]	0e+00	0.00e+00
1413	IGHA1, median [IQR]	-0.192 [-0.192 -0.192]	-0.192 [-0.192 -0.192]	-0.192 [-0.192 -0.192]	0e+00	0.00e+00
1414	IGHG1, median [IQR]	-0.397 [-0.397 2.358]	-0.397 [-0.397 -0.397]	-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