Data
library(DESeq2)
library(gplots)
library(RColorBrewer)
library(limma)
library(tidyverse)
Challenge 1
- Use the
DESeq2
function rlog
to transform the count data. This function also normalises for library size.
- Plot the count distribution boxplots with this data. How has this effected the count distributions?
rlogcounts <- rlog(countdata)
statusCol <- as.numeric(factor(sampleinfo$Status)) + 1
# Check distributions of samples using boxplots
boxplot(rlogcounts,
xlab="",
ylab="Log2(Counts)",
las=2,
col=statusCol)
# Let's add a blue horizontal line that corresponds to the median logCPM
abline(h=median(as.matrix(logcounts)), col="blue")
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)