Last updated: 2019-11-13
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Knit directory: Comparative_APA/analysis/
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Unstaged changes:
Modified: analysis/CorrbetweenInd.Rmd
Modified: analysis/PASnumperSpecies.Rmd
Modified: analysis/annotationInfo.Rmd
Modified: analysis/diffSplicing.Rmd
Modified: analysis/verifyBAM.Rmd
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File | Version | Author | Date | Message |
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Rmd | a52c26d | brimittleman | 2019-11-13 | look at pca and tech factors |
html | da4bab0 | brimittleman | 2019-11-12 | Build site. |
Rmd | 98d7f9b | brimittleman | 2019-11-12 | add cpm pca |
html | 32b435b | brimittleman | 2019-11-12 | Build site. |
Rmd | 1ce8433 | brimittleman | 2019-11-12 | start normalization |
html | 2c02d70 | brimittleman | 2019-11-12 | Build site. |
Rmd | 53642f7 | brimittleman | 2019-11-12 | add mapp stats |
html | dc91b0a | brimittleman | 2019-11-11 | Build site. |
Rmd | b5ba82e | brimittleman | 2019-11-11 | add diff expression and diff splicing |
library(workflowr)
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library(tidyverse)
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For this analysis I do preprocessing with the Snakemake pipeline. The snakemake will map the RNA seq and quantify orthologous exons.
From FastQC:
Does not look like there is adapter contamination
No reads tagged as bad quality
Assess mapping:
metaData=read.table("../data/RNASEQ_metadata.txt", header = T, stringsAsFactors = F)
metaData$Species=as.factor(metaData$Species)
metaData$Collection=as.factor(metaData$Collection)
readInfo=metaData %>% mutate(AAUnMapped= Reads-Mapped, ABNotOrtho= Mapped-AssignedOrtho) %>% select(Line, Species, AAUnMapped, ABNotOrtho, AssignedOrtho) %>% gather(key="Category", value="Number", -Line, -Species)
ggplot(readInfo, aes(x=Line,y=Number, fill=Category)) + geom_bar(stat="identity") + scale_fill_brewer(palette = "Dark2",name = "Type", labels = c("Unmapped", "Mapped not ortho", "Assigned Ortho Exon"))+theme(axis.text.x = element_text( hjust = 0,vjust = 1, size = 6, angle = 90)) + labs(y="Reads", title="Human and chimp read statistics")
Proportion of reads.
readProp=metaData %>% mutate(Aunmapped=1-percentMapped, MappednotOrtho=percentMapped-percentOrtho) %>% select(Line,Species, percentOrtho, MappednotOrtho, Aunmapped) %>% gather(key="Category", value="Proportion", -Line, -Species)
ggplot(readProp, aes(x=Line,y=Proportion, fill=Category)) + geom_bar(stat="identity") + scale_fill_brewer(palette = "Dark2", name="", labels = c("Unmapped", "Mapped not ortho", "Assigned Ortho Exon"))+theme(axis.text.x = element_text( hjust = 0,vjust = 1, size = 6, angle = 90)) + labs(y="Reads", title="Human and chimp read proportions")
By species:
ggplot(readInfo,aes(x=Category, y=Number, by=Species, fill=Species)) + geom_boxplot() +scale_x_discrete( breaks=c("AAUnMapped","ABNotOrtho","AssignedOrtho"),labels=c("Unmapped", "Not in OrthoExon", "Assigned to OrthoExon")) + scale_fill_brewer(palette = "Dark2") + labs(title="Mapped reads by Species", y="Reads", x="")
Version | Author | Date |
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2c02d70 | brimittleman | 2019-11-12 |
ggplot(readProp,aes(x=Category, y=Proportion, by=Species, fill=Species)) + geom_boxplot() + scale_fill_brewer(palette = "Dark2") + labs(title="Map Proportion by Species", y="Proportion", x="") + scale_x_discrete( breaks=c("Aunmapped","MappedNotOrtho","percentOrtho"),labels=c("Unmapped", "Not in OrthoExon", "Assigned to OrthoExon"))
Version | Author | Date |
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2c02d70 | brimittleman | 2019-11-12 |
Code originally from Lauren Blake (http://lauren-blake.github.io/Reg_Evo_Primates/analysis/Normalization_plots.html)
Fix header for fc files:
python fixExonFC.py /project2/gilad/briana/Comparative_APA/Human/data/RNAseq/ExonCounts/RNAseqOrthoExon.fc /project2/gilad/briana/Comparative_APA/Human/data/RNAseq/ExonCounts/RNAseqOrthoExon.fixed.fc
python fixExonFC.py /project2/gilad/briana/Comparative_APA/Chimp/data/RNAseq/ExonCounts/RNAseqOrthoExon.fc /project2/gilad/briana/Comparative_APA/Chimp/data/RNAseq/ExonCounts/RNAseqOrthoExon.fixed.fc
HumanCounts=read.table("../Human/data/RNAseq/ExonCounts/RNAseqOrthoExon.fixed.fc", header = T, stringsAsFactors = F) %>% select(-Chr,-Start,-End,-Strand, -Length)
ChimpCounts=read.table("../Chimp/data/RNAseq/ExonCounts/RNAseqOrthoExon.fixed.fc", header = T, stringsAsFactors = F) %>% select(-Chr,-Start,-End,-Strand, -Length)
counts_genes=HumanCounts %>% inner_join(ChimpCounts,by="Geneid") %>% column_to_rownames(var="Geneid")
head(counts_genes)
NA18504 NA18510 NA18523 NA18498 NA18499 NA18502 NAPT30
ENSG00000188976 24 50 31 69 34 58 2
ENSG00000188157 106 65 106 12 128 39 5
ENSG00000273443 40 43 54 26 48 11 21
ENSG00000217801 60 36 164 62 61 19 34
ENSG00000237330 0 1 0 0 1 1 0
ENSG00000223823 0 0 0 0 0 0 0
NAPT91 NA3622 NA3659 NA4973 NA18358
ENSG00000188976 1 1 1 0 0
ENSG00000188157 7 7 9 34 6
ENSG00000273443 2 3 78 59 18
ENSG00000217801 8 19 139 68 31
ENSG00000237330 0 0 2 1 0
ENSG00000223823 0 0 0 0 0
# Load colors
colors <- colorRampPalette(c(brewer.pal(9, "Blues")[1],brewer.pal(9, "Blues")[9]))(100)
pal <- c(brewer.pal(9, "Set1"), brewer.pal(8, "Set2"), brewer.pal(12, "Set3"))
labels <- paste(metaData$Species,metaData$Line, sep=" ")
#PCA function (original code from Julien Roux)
#Load in the plot_scores function
plot_scores <- function(pca, scores, n, m, cols, points=F, pchs =20, legend=F){
xmin <- min(scores[,n]) - (max(scores[,n]) - min(scores[,n]))*0.05
if (legend == T){ ## let some room (35%) for a legend
xmax <- max(scores[,n]) + (max(scores[,n]) - min(scores[,n]))*0.50
}
else {
xmax <- max(scores[,n]) + (max(scores[,n]) - min(scores[,n]))*0.05
}
ymin <- min(scores[,m]) - (max(scores[,m]) - min(scores[,m]))*0.05
ymax <- max(scores[,m]) + (max(scores[,m]) - min(scores[,m]))*0.05
plot(scores[,n], scores[,m], xlab=paste("PC", n, ": ", round(summary(pca)$importance[2,n],3)*100, "% variance explained", sep=""), ylab=paste("PC", m, ": ", round(summary(pca)$importance[2,m],3)*100, "% variance explained", sep=""), xlim=c(xmin, xmax), ylim=c(ymin, ymax), type="n")
if (points == F){
text(scores[,n],scores[,m], rownames(scores), col=cols, cex=1)
}
else {
points(scores[,n],scores[,m], col=cols, pch=pchs, cex=1.3)
}
}
# Clustering (original code from Julien Roux)
cors <- cor(counts_genes, method="spearman", use="pairwise.complete.obs")
heatmap.2( cors, scale="none", col = colors, margins = c(12, 12), trace='none', denscol="white", labCol=labels, ColSideColors=pal[as.integer(as.factor(metaData$Species))], RowSideColors=pal[as.integer(as.factor(metaData$Collection))+9], cexCol = 0.2 + 1/log10(15), cexRow = 0.2 + 1/log10(15))
Version | Author | Date |
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32b435b | brimittleman | 2019-11-12 |
select <- counts_genes
summary(apply(select, 1, var) == 0)
Mode FALSE TRUE
logical 32975 11150
# Perform PCA
pca_genes <- prcomp(t(counts_genes), scale = F)
scores <- pca_genes$x
#Make PCA plots with the factors colored by species
### PCs 1 and 2 Raw Data
for (n in 1:1){
col.v <- pal[as.integer(metaData$Species)]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
Version | Author | Date |
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32b435b | brimittleman | 2019-11-12 |
### PCs 3 and 4 Raw Data
for (n in 3:3){
col.v <- pal[as.integer(metaData$Species)]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
Version | Author | Date |
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32b435b | brimittleman | 2019-11-12 |
Plot density for raw data:
density_plot_18504 <- ggplot(counts_genes, aes(x = NA18504)) + geom_density() + labs(title = "Density plot of raw gene counts of NA18504") + labs(x = "Raw counts for each gene")
density_plot_18504
Version | Author | Date |
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32b435b | brimittleman | 2019-11-12 |
Convert to log2
log_counts_genes <- as.data.frame(log2(counts_genes))
head(log_counts_genes)
NA18504 NA18510 NA18523 NA18498 NA18499 NA18502
ENSG00000188976 4.584963 5.643856 4.954196 6.108524 5.087463 5.857981
ENSG00000188157 6.727920 6.022368 6.727920 3.584963 7.000000 5.285402
ENSG00000273443 5.321928 5.426265 5.754888 4.700440 5.584963 3.459432
ENSG00000217801 5.906891 5.169925 7.357552 5.954196 5.930737 4.247928
ENSG00000237330 -Inf 0.000000 -Inf -Inf 0.000000 0.000000
ENSG00000223823 -Inf -Inf -Inf -Inf -Inf -Inf
NAPT30 NAPT91 NA3622 NA3659 NA4973 NA18358
ENSG00000188976 1.000000 0.000000 0.000000 0.000000 -Inf -Inf
ENSG00000188157 2.321928 2.807355 2.807355 3.169925 5.087463 2.584963
ENSG00000273443 4.392317 1.000000 1.584963 6.285402 5.882643 4.169925
ENSG00000217801 5.087463 3.000000 4.247928 7.118941 6.087463 4.954196
ENSG00000237330 -Inf -Inf -Inf 1.000000 0.000000 -Inf
ENSG00000223823 -Inf -Inf -Inf -Inf -Inf -Inf
density_plot_18504 <- ggplot(log_counts_genes, aes(x = 18504)) + geom_density()
density_plot_18504 + labs(title = "Density plot of log2 counts of 18504") + labs(x = "Log2 counts for each gene") + geom_vline(xintercept = 1)
Version | Author | Date |
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32b435b | brimittleman | 2019-11-12 |
plotDensities(log_counts_genes, col=pal[as.numeric(metaData$Species)], legend="topright")
Version | Author | Date |
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32b435b | brimittleman | 2019-11-12 |
Convert to CPM
cpm <- cpm(counts_genes, log=TRUE)
head(cpm)
NA18504 NA18510 NA18523 NA18498 NA18499
ENSG00000188976 0.9947425 1.625971 1.213485 1.9873949 1.075299
ENSG00000188157 3.0661207 1.990970 2.931252 -0.3353280 2.923740
ENSG00000273443 1.6951397 1.417837 1.980752 0.6524534 1.547681
ENSG00000217801 2.2614645 1.174529 3.552519 1.8381797 1.880283
ENSG00000237330 -3.0036033 -2.442815 -3.003603 -3.0036033 -2.450115
ENSG00000223823 -3.0036033 -3.003603 -3.003603 -3.0036033 -3.003603
NA18502 NAPT30 NAPT91 NA3622 NA3659
ENSG00000188976 1.8489000 -2.0183629 -2.3993239 -2.4294571 -2.4761762
ENSG00000188157 1.3004469 -1.2173800 -0.7890014 -0.8590437 -0.6897168
ENSG00000273443 -0.3506575 0.4928914 -1.9747241 -1.7012034 2.1431252
ENSG00000217801 0.3378719 1.1383145 -0.6357420 0.3591647 2.9586805
ENSG00000237330 -2.4371643 -3.0036033 -3.0036033 -3.0036033 -2.0907904
ENSG00000223823 -3.0036033 -3.0036033 -3.0036033 -3.0036033 -3.0036033
NA4973 NA18358
ENSG00000188976 -3.003603 -3.0036033
ENSG00000188157 1.082327 -0.8045812
ENSG00000273443 1.841053 0.5540567
ENSG00000217801 2.039212 1.2860108
ENSG00000237330 -2.447731 -3.0036033
ENSG00000223823 -3.003603 -3.0036033
plotDensities(cpm, col=pal[as.numeric(metaData$Species)], legend="topright")
Version | Author | Date |
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32b435b | brimittleman | 2019-11-12 |
TMM/log2(CPM)
## Create edgeR object (dge) to calculate TMM normalization
dge_original <- DGEList(counts=as.matrix(counts_genes), genes=rownames(counts_genes), group = as.character(t(labels)))
dge_original <- calcNormFactors(dge_original)
tmm_cpm <- cpm(dge_original, normalized.lib.sizes=TRUE, log=TRUE, prior.count = 0.25)
head(cpm)
NA18504 NA18510 NA18523 NA18498 NA18499
ENSG00000188976 0.9947425 1.625971 1.213485 1.9873949 1.075299
ENSG00000188157 3.0661207 1.990970 2.931252 -0.3353280 2.923740
ENSG00000273443 1.6951397 1.417837 1.980752 0.6524534 1.547681
ENSG00000217801 2.2614645 1.174529 3.552519 1.8381797 1.880283
ENSG00000237330 -3.0036033 -2.442815 -3.003603 -3.0036033 -2.450115
ENSG00000223823 -3.0036033 -3.003603 -3.003603 -3.0036033 -3.003603
NA18502 NAPT30 NAPT91 NA3622 NA3659
ENSG00000188976 1.8489000 -2.0183629 -2.3993239 -2.4294571 -2.4761762
ENSG00000188157 1.3004469 -1.2173800 -0.7890014 -0.8590437 -0.6897168
ENSG00000273443 -0.3506575 0.4928914 -1.9747241 -1.7012034 2.1431252
ENSG00000217801 0.3378719 1.1383145 -0.6357420 0.3591647 2.9586805
ENSG00000237330 -2.4371643 -3.0036033 -3.0036033 -3.0036033 -2.0907904
ENSG00000223823 -3.0036033 -3.0036033 -3.0036033 -3.0036033 -3.0036033
NA4973 NA18358
ENSG00000188976 -3.003603 -3.0036033
ENSG00000188157 1.082327 -0.8045812
ENSG00000273443 1.841053 0.5540567
ENSG00000217801 2.039212 1.2860108
ENSG00000237330 -2.447731 -3.0036033
ENSG00000223823 -3.003603 -3.0036033
pca_genes <- prcomp(t(tmm_cpm), scale = F)
scores <- pca_genes$x
for (n in 1:2){
col.v <- pal[as.integer(metaData$Species)]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
Version | Author | Date |
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da4bab0 | brimittleman | 2019-11-12 |
# Plot library size
boxplot_library_size <- ggplot(dge_original$samples, aes(x=metaData$Species, y = dge_original$samples$lib.size, fill = metaData$Species)) + geom_boxplot()
boxplot_library_size + labs(title = "Library size by Species") + labs(y = "Library size") + labs(x = "Species") + guides(fill=guide_legend(title="Species"))
plotDensities(tmm_cpm, col=pal[as.numeric(metaData$Species)], legend="topright")
Filter based on log2 cpm
filter log2(cpm >1) in at least 10 of the samples (2/3)
#filter counts
keep.exprs=rowSums(tmm_cpm>1) >8
counts_filtered= counts_genes[keep.exprs,]
plotDensities(counts_filtered, col=pal[as.numeric(metaData$Species)], legend="topright")
Version | Author | Date |
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da4bab0 | brimittleman | 2019-11-12 |
labels <- paste(metaData$Species, metaData$Line, sep=" ")
dge_in_cutoff <- DGEList(counts=as.matrix(counts_filtered), genes=rownames(counts_filtered), group = as.character(t(labels)))
dge_in_cutoff <- calcNormFactors(dge_in_cutoff)
cpm_in_cutoff <- cpm(dge_in_cutoff, normalized.lib.sizes=TRUE, log=TRUE, prior.count = 0.25)
head(cpm_in_cutoff)
NA18504 NA18510 NA18523 NA18498 NA18499 NA18502
ENSG00000217801 2.243163 1.0859263 3.672233 1.802011 1.859359 0.2120175
ENSG00000186891 5.022046 5.0400892 4.902343 6.682104 5.710517 3.3639006
ENSG00000186827 3.102236 4.6574228 1.712312 1.802011 3.968056 1.9042287
ENSG00000078808 6.868747 7.0337697 7.475369 7.036034 6.625443 6.7359729
ENSG00000176022 4.762642 4.6839390 4.801525 5.267970 4.613121 4.7028975
ENSG00000184163 1.427504 -0.1617807 1.712312 1.404540 1.062680 0.3544851
NAPT30 NAPT91 NA3622 NA3659 NA4973 NA18358
ENSG00000217801 1.1675009 -0.7849597 0.2795297 3.003758 2.101032 1.307542
ENSG00000186891 4.6403916 3.1655019 4.7307807 6.452972 6.478017 6.488794
ENSG00000186827 0.2591792 2.0129015 3.1544019 0.651737 5.254278 2.181924
ENSG00000078808 6.6946199 6.7706146 6.7797936 6.789003 7.211007 7.067711
ENSG00000176022 4.8386000 5.5562504 4.8490853 5.281245 4.790317 5.568370
ENSG00000184163 2.8929268 2.2016666 1.4133401 1.771404 1.743030 3.229013
hist(cpm_in_cutoff, xlab = "Log2(CPM)", main = "Log2(CPM) values for genes meeting the filtering criteria", breaks = 100 )
Version | Author | Date |
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da4bab0 | brimittleman | 2019-11-12 |
Voom transformation:
Species <- factor(metaData$Species)
design <- model.matrix(~ 0 + Species)
colnames(design) <- gsub("Species", "", dput(colnames(design)))
c("SpeciesChimp", "SpeciesHuman")
# Voom with individual as a random variable
cpm.voom<- voom(counts_filtered, design, normalize.method="quantile", plot=T)
boxplot(cpm.voom$E, col = pal[as.numeric(metaData$Species)],las=2)
plotDensities(cpm.voom, col = pal[as.numeric(metaData$Species)], legend = "topleft")
Looks like i still have a skew on the lower side of the distribution.
# PCA
pca_genes <- prcomp(t(cpm.voom$E), scale = F)
scores <- pca_genes$x
eigsGene <- pca_genes$sdev^2
proportionG = eigsGene/sum(eigsGene)
plot(proportionG)
for (n in 1:2){
col.v <- pal[as.integer(metaData$Species)]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
Version | Author | Date |
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da4bab0 | brimittleman | 2019-11-12 |
#Clustering (original code from Julien Roux)
cors <- cor(cpm.voom$E, method="spearman", use="pairwise.complete.obs")
heatmap.2( cors, scale="none", col = colors, margins = c(12, 12), trace='none', denscol="white", labCol=labels, ColSideColors=pal[as.integer(as.factor(metaData$Species))], RowSideColors=pal[as.integer(as.factor(metaData$Species))+9], cexCol = 0.2 + 1/log10(15), cexRow = 0.2 + 1/log10(15))
Version | Author | Date |
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da4bab0 | brimittleman | 2019-11-12 |
This is wierd. Normalization moves 2 samples to opposite species clusters but the samples that separate in the correlation are not those samples. 4973 and 18498 are the samples that looked funny on the original 3’ data. This may be a sample swap at the RNA stage. These samples were in the same extraction batch. It could have happened then. I will look into this more.
One thing I can do is look at the correlation between the PCs and other factors in the data.
# PCA
pca_genes <- prcomp(t(cpm.voom$E), scale = F)
scores <- pca_genes$x
for (n in 1:2){
col.v <- pal[as.integer(metaData$Collection)]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
metaData$Extraction=as.factor(metaData$Extraction)
for (n in 1:2){
col.v <- pal[as.integer(metaData$Extraction)]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
It does not look like batch (who collected or extraction date batch)
cols = brewer.pal(9, "Blues")
palC = colorRampPalette(cols)
metaData$UndilutedAverageorder = findInterval(metaData$UndilutedAverage, sort(metaData$UndilutedAverage))
for (n in 1:2){
col.v <- palC(nrow(metaData))[metaData$UndilutedAverageorder]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
metaData$BioAConcorder = findInterval(metaData$BioAConc, sort(metaData$BioAConc))
for (n in 1:2){
col.v <- palC(nrow(metaData))[metaData$BioAConcorder]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
metaData$RinConcorder = findInterval(metaData$Rin, sort(metaData$Rin))
for (n in 1:2){
col.v <- palC(nrow(metaData))[metaData$RinConcorder]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
The samples do not cluster by collection concentration, RNA rin score or RNA concentration.
metaData$AssignedOrthoorder = findInterval(metaData$AssignedOrtho, sort(metaData$AssignedOrtho))
for (n in 1:2){
col.v <- palC(nrow(metaData))[metaData$AssignedOrthoorder]
plot_scores(pca_genes, scores, n, n+1, col.v)
}
They also do not cluster by number of reads mapping to ortho exons.
I should look at the correlation between PCs and these factors.
Try to run the pca the opposite way:
pca_line=prcomp(cpm.voom$E, center=T,scale=T)
pca_line_df=as.data.frame(pca_line$rotation) %>% rownames_to_column(var="Line") %>% select(1:11)
eigs <- pca_line$sdev^2
proportion = eigs/sum(eigs)
plot(proportion)
metaData_order=metaData %>% arrange(Line)
PCA_order=pca_line_df %>% arrange(Line)
Pc1Spec <- summary(lm(PCA_order$PC1 ~ metaData_order$Species))$adj.r.squared
Pc2Spec <- summary(lm(PCA_order$PC2 ~ metaData_order$Species))$adj.r.squared
Pc3Spec <- summary(lm(PCA_order$PC3 ~ metaData_order$Species))$adj.r.squared
Pc1Spec
[1] -0.09882106
Pc2Spec
[1] 0.6285914
Pc3Spec
[1] -0.0714836
Expand this to full heatmap.
sessionInfo()
R version 3.5.1 (2018-07-02)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: Scientific Linux 7.4 (Nitrogen)
Matrix products: default
BLAS/LAPACK: /software/openblas-0.2.19-el7-x86_64/lib/libopenblas_haswellp-r0.2.19.so
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
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] reshape2_1.4.3 RColorBrewer_1.1-2 edgeR_3.24.0
[4] limma_3.38.2 gplots_3.0.1 scales_1.0.0
[7] forcats_0.3.0 stringr_1.3.1 dplyr_0.8.0.1
[10] purrr_0.3.2 readr_1.3.1 tidyr_0.8.3
[13] tibble_2.1.1 ggplot2_3.1.1 tidyverse_1.2.1
[16] workflowr_1.5.0
loaded via a namespace (and not attached):
[1] gtools_3.8.1 locfit_1.5-9.1 tidyselect_0.2.5
[4] haven_1.1.2 lattice_0.20-38 colorspace_1.3-2
[7] generics_0.0.2 htmltools_0.3.6 yaml_2.2.0
[10] rlang_0.4.0 later_0.7.5 pillar_1.3.1
[13] glue_1.3.0 withr_2.1.2 modelr_0.1.2
[16] readxl_1.1.0 plyr_1.8.4 munsell_0.5.0
[19] gtable_0.2.0 cellranger_1.1.0 rvest_0.3.2
[22] caTools_1.17.1.1 evaluate_0.12 labeling_0.3
[25] knitr_1.20 httpuv_1.4.5 broom_0.5.1
[28] Rcpp_1.0.2 KernSmooth_2.23-15 promises_1.0.1
[31] backports_1.1.2 gdata_2.18.0 jsonlite_1.6
[34] fs_1.3.1 hms_0.4.2 digest_0.6.18
[37] stringi_1.2.4 grid_3.5.1 rprojroot_1.3-2
[40] bitops_1.0-6 cli_1.1.0 tools_3.5.1
[43] magrittr_1.5 lazyeval_0.2.1 crayon_1.3.4
[46] whisker_0.3-2 pkgconfig_2.0.2 xml2_1.2.0
[49] lubridate_1.7.4 assertthat_0.2.0 rmarkdown_1.10
[52] httr_1.3.1 rstudioapi_0.10 R6_2.3.0
[55] nlme_3.1-137 git2r_0.26.1 compiler_3.5.1