Gladstone-Bioinformatics-Wo.../intermediate-r-rna-seq/TMM_normalization_steps.R
2020-07-20 04:48:26 -07:00

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R

#The code for the main steps in the following ...
#... are copied from the source code for edgeR::calcNormFactors.
cnts <- y$counts %>% as.matrix()
lib.sizes <- apply(cnts, 2, sum)
cnts_adjst_libsize <- map_dfc(colnames(cnts),
function(x) cnts[, x]/lib.sizes[x]) %>%
set_colnames(., colnames(cnts))
boxplot(cnts_adjst_libsize)
f <- apply(cnts_adjst_libsize, 2,
function(x) quantile(x, p=0.75))
boxplot(cnts_adjst_libsize, ylim = c(0, 10^(-4)))
abline(h = mean(f), lty = "dotted")
ref_sample <- (f - mean(f)) %>%
abs() %>%
which.min()
#Illustrating normalization of one sample.
illustrate = TRUE
if (illustrate) {
x <- colnames(cnts)[12]
nO <- lib.sizes[x]
nR <- lib.sizes[ref_sample]
obs <- cnts[, x] %>% as.numeric()
ref <- cnts[, ref_sample] %>% as.numeric()
#The M values:
logR <- log2(obs/nO) - log2(ref/nR) # log ratio of expression, accounting for library size
#The A values:
absE <- (log2(obs/nO) + log2(ref/nR))/2 # absolute expression
# remove infinite values, cutoff based on A
fin <- is.finite(logR) & is.finite(absE) & (absE > -10^(10))
logR <- logR[fin]
absE <- absE[fin]
print(
ggplot(data.frame(A = absE,
M = logR),
aes(A, M)) +
geom_point() +
geom_smooth() +
coord_cartesian(xlim = c(-25, -5), ylim = c(-10.5, 10.5))
)
logratioTrim=.3
sumTrim=0.05
#Remove the genes with the 5% most extreme A values.
#Remove the genes with the 30% most extreme M values
n <- length(logR)
loL <- floor(n * logratioTrim) + 1
hiL <- n + 1 - loL
loS <- floor(n * sumTrim) + 1
hiS <- n + 1 - loS
keep <- (rank(logR)>=loL & rank(logR)<=hiL) &
(rank(absE)>=loS & rank(absE)<=hiS)
print(
ggplot(data.frame(A = absE[keep],
M = logR[keep]),
aes(A, M)) +
geom_point() +
coord_cartesian(xlim = c(-25, -5), ylim = c(-10.5, 10.5)) +
geom_hline(color = "red", linetype = "dotted",
yintercept = mean(logR[keep], na.rm = T))
)
#Normalization factor for the current sample wrt to the reference sample
f <- mean(logR[keep], na.rm=TRUE)
print("Normalization factor (log2 scale)")
print(f)
f <- 2^f
print("Normalization factor (original scale)")
print(f)
#Compare with the normalization factor calculated by TMM.
print("Normalization factor (from edgeR::calcNormFactors)")
y$samples$norm.factors[12]
}
TMM_norm_factors <-
map_dfc(colnames(cnts),
function(x, logratioTrim=.3, sumTrim=0.05,
doWeighting=TRUE, Acutoff=-1e10) {
#The following steps are excerpted from edgeR's source.
nO <- lib.sizes[x]
nR <- lib.sizes[ref_sample]
obs <- cnts[, x] %>% as.numeric()
ref <- cnts[, ref_sample] %>% as.numeric()
logR <- log2(obs/nO) - log2(ref/nR) # log ratio of expression, accounting for library size
absE <- (log2(obs/nO) + log2(ref/nR))/2 # absolute expression
v <- (nO-obs)/nO/obs + (nR-ref)/nR/ref # estimated asymptotic variance
# remove infinite values, cutoff based on A
fin <- is.finite(logR) & is.finite(absE) & (absE > Acutoff)
logR <- logR[fin]
absE <- absE[fin]
v <- v[fin]
if(max(abs(logR)) < 1e-6) return(1)
# taken from the original mean() function
n <- length(logR)
loL <- floor(n * logratioTrim) + 1
hiL <- n + 1 - loL
loS <- floor(n * sumTrim) + 1
hiS <- n + 1 - loS
keep <- (rank(logR)>=loL & rank(logR)<=hiL) &
(rank(absE)>=loS & rank(absE)<=hiS)
if(doWeighting)
f <- sum(logR[keep]/v[keep], na.rm=TRUE) / sum(1/v[keep], na.rm=TRUE)
else
f <- mean(logR[keep], na.rm=TRUE)
# Results will be missing if the two libraries share no features with positive counts
# In this case, return unity
if(is.na(f)) f <- 0
2^f
}) %>%
data.frame() %>%
as.numeric()
#Rescale norm factors for convenience of interpretation.
rescale <- TMM_norm_factors %>%
log() %>%
mean() %>%
exp()
TMM_norm_factors %<>% divide_by(., rescale)
TMM_norm_factors
#Compare with the output from calcNormFactors
y$samples$norm.factors