Last updated: 2018-06-06
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| File | Version | Author | Date | Message | 
|---|---|---|---|---|
| Rmd | 0226fe3 | Peter Carbonetto | 2018-06-06 | wflow_publish(“SharingHist.Rmd”) | 
| Rmd | ddd3bd3 | Peter Carbonetto | 2018-06-06 | wflow_publish(“SharingHist.Rmd”) | 
| html | 0c91e3f | Peter Carbonetto | 2018-06-06 | I have a first complete revision of the SharingHist analysis without | 
| Rmd | 0f4a56a | Peter Carbonetto | 2018-06-06 | wflow_publish(“SharingHist.Rmd”) | 
| Rmd | 9ee901f | Peter Carbonetto | 2018-06-06 | Revised data/results loading steps in HeterogeneityTables.Rmd. | 
| Rmd | d199d66 | Peter Carbonetto | 2018-06-06 | wflow_publish(“Tspecific.Rmd”) | 
Here we develop another summary of sharing of eQTLs across tissues by showing the estimated distribution of sharing; specifically, the distribution of the number of tissues shared by sign and by magnitude. This complements this summary and this one.
Compare the plots below to the plots in Figure 5 of the paper.
First, we load some functions defined for the mash analyses.
source("../code/normfuncs.R")This is the threshold used to determine whether a gene has an eQTL in a given tissue.
thresh <- 0.05Load some GTEx summary statistics, as well as some of the results generated from the mash analysis of the GTEx data.
out     <- readRDS("../data/MatrixEQTLSumStats.Portable.Z.rds")
maxbeta <- out$test.b
maxz    <- out$test.z
out <- readRDS(paste("../output/MatrixEQTLSumStats.Portable.Z.coved.K3.P3",
                     "lite.single.expanded.V1.posterior.rds",sep = "."))
lfsr           <- out$lfsr
pm.mash        <- out$posterior.means
standard.error <- maxbeta/maxz
pm.mash.beta   <- pm.mash * standard.errorSharing by magnitude means that two eQTLs have similar effect size (within a factor of 2).
Here we plot histograms of sharing by magnitude across all tissues (left), tissues other than brain (middle), and brain tissues only (right).
sigmat <- (lfsr <= thresh)
nsig   <- rowSums(sigmat)
par(mar = c(4,4,2,1))
par(oma = c(8,4,0,0) + 0.1)
par(mfrow = c(1,3))
hist((het.func(het.norm(effectsize=pm.mash.beta[nsig>0,]),threshold=0.5)),
     main="",xlab="",breaks=0.5:44.5,col="grey",freq=FALSE,ylim=c(0,0.9),
     xaxt="n")
axis(1,at = seq(1, 44, by=1),labels = c(1:44))
mtext("All Tissues")
sigmat <- (lfsr[,-c(7:16)] <= thresh)
nsig   <- rowSums(sigmat)
hist((het.func(het.norm(effectsize=pm.mash.beta[nsig>0,-c(7:16)]),
     threshold=0.5)),main="",xlab="",breaks=0.5:34.5,col="grey",
     freq=FALSE,ylim=c(0,0.9),xaxt="n")
axis(1,at = seq(1, 34, by=1),labels = c(1:34))
mtext("Non-Brain Tissues")
sigmat     <- (lfsr[,c(7:16)]<=thresh)
nsig       <-  rowSums(sigmat)
brain.norm <- het.norm(effectsize=pm.mash.beta[nsig>0,c(7:16)])
hist(het.func(brain.norm,threshold=0.5),main="",xlab="",breaks=0.5:10.5,
     col="grey",freq=FALSE,xaxt="n",ylim=c(0,0.9))
axis(1, at=seq(1, 10, by=1), labels=c(1:10))
mtext("Brain Tissues")
| Version | Author | Date | 
|---|---|---|
| 0c91e3f | Peter Carbonetto | 2018-06-06 | 
Observe that the distribution of the number of tissues in which an eQTL is shared by magnitude has a mode at 1. This is a subset of eQTLs that have much stronger effect in one tissue than in any other (“tissue-specific”).
Sharing by sign means that the eQTLs have the same sign of effect.
Here we plot histograms of sharing by sign across all tissues (left), tissues other than brain (middle), and brain tissues only (right).
sign.func <- function (normeffectsize)
  apply(normeffectsize,1,function(x)(sum(x>0)))
sigmat <- (lfsr<=thresh)
nsig   <- rowSums(sigmat)
par(mar = c(4,4.5,2,1))
par(oma = c(8,4,0,0) + 0.1)
par(mfrow = c(1,3))
hist(sign.func(het.norm(effectsize=pm.mash.beta[nsig>0,])),main="",xlab="",
     breaks=0.5:44.5,col="grey",freq=FALSE,xaxt="n",ylim=c(0,0.9))
axis(1, at=seq(1, 44, by=1), labels=c(1:44))
mtext("All Tissues")
sigmat <- (lfsr[,-c(7:16)] <= thresh)
nsig   <- rowSums(sigmat)
hist(sign.func(het.norm(effectsize = pm.mash.beta[nsig>0,-c(7:16)])),
     main="",xlab="",breaks=0.5:34.5,col="grey",freq=FALSE,ylim=c(0,0.9),
     xaxt="n")
axis(1, at=seq(1, 34, by=1), labels=c(1:34))
mtext("Non-Brain Tissues")
sigmat     <- (lfsr[,c(7:16)]<=thresh)
nsig       <-  rowSums(sigmat)
brain.norm <- het.norm(effectsize=pm.mash.beta[nsig>0,c(7:16)])
hist(sign.func(brain.norm),main="",xlab="",breaks=0.5:10.5,col="grey",
     freq=FALSE,xaxt="n",ylim=c(0,0.9))
axis(1, at=seq(1, 10, by=1), labels=c(1:10))
mtext("Brain Tissues")
| Version | Author | Date | 
|---|---|---|
| 0c91e3f | Peter Carbonetto | 2018-06-06 | 
Similar to other summaries of the mash analysis, we see that eQTLs exhibit a high level of sharing across tissues.
sessionInfo()
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# Platform: x86_64-apple-darwin15.6.0 (64-bit)
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