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library(here)
library(minfi)
library(paletteer)
library(limma)
library(BiocParallel)
library(reshape2)
library(gridExtra)
library(missMethyl)
library(ggplot2)
library(glue)
library(grid)
library(tidyverse)
library(rbin)
library(patchwork)
library(ChAMPdata)
library(lemon)
source(here("code/utility.R"))

Load data

We are using publicly available EPIC data GSE110554 generated from flow sorted blood cells. The data is normalised and filtered (bad probes, multi-mapping probes, SNP probes, sex chromosomes).

# load data
dataFile <- here("data/GSE110554-data.RData")
if(file.exists(dataFile)){
    # load processed data and sample information
    load(dataFile)
} else {
    # get data from experiment hub, normalise, filter and save objects
    readData(dataFile)
    # load processed data and sample information
    load(dataFile)
}

QC plots

# plot mean detection p-values across all samples
dat <- tibble::tibble(mean = colMeans(detP), cellType = targets$CellType)
ggplot(dat, aes(y = mean, x = cellType, fill = cellType)) +
    geom_bar(stat = "identity") +
    labs(fill = "Cell Type") +
    scale_fill_brewer(palette = "Dark2")

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06648a4 JovMaksimovic 2020-04-27
76dacfc Jovana Maksimovic 2020-03-31
# plot normalised beta value distribution
bVals <- getBeta(normGr)
dat <- data.frame(reshape2::melt(bVals))
colnames(dat) <- c("cpg", "sample", "bVal")
dat <- dplyr::bind_cols(dat, cellType = rep(targets$CellType, 
                                            each = nrow(bVals)))

ggplot(dat, aes(x = bVal, colour = cellType)) +
    geom_density() +
    labs(colour = "Cell Type") +
    scale_color_brewer(palette = "Dark2")

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76dacfc Jovana Maksimovic 2020-03-31
# MDS plots to look at largest sources of variation
p <- plotMDS(getM(fltGr), top=1000, gene.selection="common", plot = FALSE)
dat <- tibble::tibble(x = p$x, y = p$y, cellType = targets$CellType)

p <- ggplot(dat, aes(x = x, y = y, colour = cellType)) +
    geom_point(size = 2) +
    labs(colour = "Cell type") +
    scale_colour_brewer(palette = "Dark2") +
    labs(x = "Principal component 1", y = "Principal component 2")
p

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fig <- here("output/figures/Fig-4A.rds")
saveRDS(p, fig, compress = FALSE)

Statistical analysis

Compare several sets of sorted immune cells. Consider results significant at FDR < 0.05 and delta beta ~ 10% (~ lfc = 0.5).

mVals <- getM(fltGr)
bVals <- getBeta(fltGr)
design <- model.matrix(~0+targets$CellType)
colnames(design) <- levels(factor(targets$CellType))
fit <- lmFit(mVals, design)
cont.matrix <- makeContrasts(CD4vCD8=CD4T-CD8T,
                             #BcellvMono=Bcell-Mono,
                             MonovNeu=Mono-Neu,
                             BcellvNK=Bcell-NK,
                             #NeuvNK=Neu-NK,
                             #MonovNK=Mono-NK,
                             levels=design)
fit2 <- contrasts.fit(fit, cont.matrix)
tfit <- eBayes(fit2, robust=TRUE, trend=TRUE)
tfit <- treat(tfit, lfc = 0.5)
pval <- 0.05
fitSum <- summary(decideTests(tfit, p.value = pval))
fitSum
       CD4vCD8 MonovNeu BcellvNK
Down      5072     9324    34803
NotSig  725611   712480   667559
Up        3202    12081    31523
bDat <- getBiasDat(rownames(topTreat(tfit, coef = "BcellvNK", num = 5000)), 
                   array.type = "EPIC")
Loading required package: IlluminaHumanMethylationEPICanno.ilm10b4.hg19
p <- ggplot(bDat, aes(x = avgbias, y = propDM)) +
    geom_point(shape = 1, size = 2) +
    geom_smooth() +
    labs(x = "No. CpGs per gene (binned)",
         y = "Prop. differential methylation") +
    theme_minimal() +
    theme(panel.grid = element_blank(),
          axis.line = element_line(colour = "black"))
p
`geom_smooth()` using method = 'loess' and formula 'y ~ x'

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afc650b JovMaksimovic 2020-05-11
fig <- here("output/figures/Fig-1B.rds")
saveRDS(p, fig, compress = FALSE)

How correlated is differential methylation with differential expression for the same contrasts (same cell types but not identical samples)?

ann <- loadAnnotation("EPIC")
flatAnn <- loadFlatAnnotation(ann)
rfit <- readRDS(here("data/rnaseq-fit.rds"))
rdat <- rownames_to_column(data.frame(rfit$coefficients), var = "gene_id")

rdat %>% inner_join(data.frame(rfit$genes)) %>%
    mutate(entrezid = as.character(entrezid)) %>%
    dplyr::select(-length) -> rdat
rdat <- reshape2::melt(rdat, value.name = "coefficient")

reshape2::melt(rfit$p.value, value.name = "p.value") %>%
    group_by(Contrasts) %>%
    mutate(FDR = p.adjust(p.value, method = "BH")) -> rfdr

rdat %>% inner_join(rfdr, 
                    by = c("gene_id" = "Var1", "variable" = "Contrasts")) -> rdat

mdat <- rownames_to_column(data.frame(tfit$coefficients), var = "cpg")
mdat %>% inner_join(flatAnn) %>%
    dplyr::select(-symbol, -alias) -> mdat
mdat <- reshape2::melt(mdat, value.name = "coefficient") -> mdat

mdat %>% dplyr::select(-cpg) %>%
    mutate(promoter = ifelse(group %in% c("TSS1500", "TSS200", "1stExon"), 
                             "prom", "other")) %>%
    group_by(variable, entrezid, promoter) %>%
    #summarise(coef = coefficient[which.max(abs(coefficient))]) -> mdat
    summarise(coef = median(coefficient)) %>%
    dplyr::filter(promoter == "prom") -> mdat

mdat %>% inner_join(rdat, by = c("entrezid", "variable")) %>%
    mutate(colour = ifelse(FDR < 0.05, "Sig.", "Not sig.")) -> dat

ggplot(dat, aes(x = coef, y = coefficient, colour = colour)) +
    geom_point(data = dat[dat$colour == 'Not sig.',], alpha = 0.25, 
               size = 1) +
    geom_point(data = dat[dat$colour == 'Sig.',], size = 0.75, alpha = 0.5) +
    facet_wrap(vars(variable), ncol = 2, scales = "free") +
    labs(x = "Median logFC for CpGs in gene promoter", 
         y = "Gene expression Log FC", color = "Diff. Gene Exp.")

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afc650b JovMaksimovic 2020-05-11
da4f010 JovMaksimovic 2020-05-08

Examine only the independent contrasts.

dat <- melt(fitSum[rownames(fitSum) != "NotSig", ])
colnames(dat) <- c("dir","comp","num")

p <- ggplot(dat, aes(x = comp, y = num, fill = dir)) +
    geom_bar(stat = "identity", position = "dodge") +
    labs(x = "Comparison", y = "No. DM CpGs (FDR < 0.05)", fill = "Direction") +
    scale_fill_brewer(palette = "Set1", direction = -1)
p

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b8b0c0b Jovana Maksimovic 2020-06-23
22f00e9 Jovana Maksimovic 2020-05-19
afc650b JovMaksimovic 2020-05-11
da4f010 JovMaksimovic 2020-05-08
06648a4 JovMaksimovic 2020-04-27
76dacfc Jovana Maksimovic 2020-03-31
fig <- here("output/figures/Fig-4B.rds")
saveRDS(p, fig, compress = FALSE)

Compare performance of different gene set testing methods

Compare the gene set testing methods available for methylation arrays; hypergeometric test (HGT), gometh (best), methylRRA (GLM), methylRRA (ORA) and methylRRA (GSEA). As methylRRA does not work well with sets that only contain very few genes or very large sets, we will only test sets with at least 5 genes and maximum of 5000 genes.

Save analysis results

minsize <- 5
maxsize <- 5000

outFile <- here("data/blood.contrasts.rds")

if(!file.exists(outFile)){
  obj <- NULL
  obj$tfit <- tfit
  obj$maxsize <- maxsize
  obj$minsize <- minsize
  obj$mVals <- mVals
  obj$targets <- targets

  saveRDS(obj, file = outFile)

} 

Load output for all methods

inFiles <- list.files(here("output/compare-methods"), pattern = "rds", 
                      full.names = TRUE)

res <- lapply(inFiles, function(file){
    readRDS(file)
})

dat <- as_tibble(dplyr::bind_rows(res))
dat %>% filter(grepl("mmethyl", method)) %>%
    mutate(method = unname(dict[method])) -> subDat

ggplot(subDat, aes(x = pvalue, colour = sub)) +
    geom_density() +
    facet_grid(cols = vars(contrast), rows = vars(method)) +
    labs(colour = "Sig. CpG Selection", x = "P-value", y = "Density") +
    scale_color_hue(labels = c("Top 5000", "Top 10000", "FDR < 0.01", 
                                  "FDR < 0.05")) + 
    theme(legend.position = "bottom", legend.text = element_text(size=6))

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b8b0c0b Jovana Maksimovic 2020-06-23
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afc650b JovMaksimovic 2020-05-11
da4f010 JovMaksimovic 2020-05-08
06648a4 JovMaksimovic 2020-04-27
caa373d Jovana Maksimovic 2020-04-24
76dacfc Jovana Maksimovic 2020-03-31

Test GO categories

cpgEgGo <- cpgsEgGoFreqs(flatAnn)

cpgEgGo %>% 
  group_by(GO) %>%
  summarise(med = median(Freq)) -> medCpgEgGo
`summarise()` ungrouping output (override with `.groups` argument)

In order to examine whether the probe-number bias influenced the significantly enriched GO categories for the five different methods, we split the GO categories into bins based on the median number of CpGs per gene per GO category. We then calculated the proportion of significantly enriched GO categories in each bin for each of the three comparisons. As GOmeth explicitly corrects for this bias it showed very little trend. However mRRA (ORA) tended to have more significant GO categories when the genes had larger numbers of CpGs. The hypergeometric test and mRRA (GSEA) tended to have more significant GO categories with average numbers of CpGs associated per gene ranging from 27 - 44. The mGLM method appears to control for the probe-number bias of the array fairly well.

dat %>% filter(set == "GO") %>%
    filter(sub %in% c("n","c1")) %>% 
    mutate(method = unname(dict[method])) %>% 
    inner_join(medCpgEgGo, by = c("ID" = "GO")) -> sub

bins <- rbin_quantiles(sub, ID, med, bins = 12)
sub$bin <- as.factor(findInterval(sub$med, bins$upper_cut))

binLabs <- paste0("<", bins$upper_cut)
names(binLabs) <- levels(sub$bin)
binLabs[length(binLabs)] <- gsub("<", "\u2265", binLabs[length(binLabs) - 1])
    
sub %>% group_by(contrast, method, bin) %>%
  summarise(prop = sum(pvalue < 0.05)/n()) -> pdat
`summarise()` regrouping output by 'contrast', 'method' (override with `.groups` argument)
p <- ggplot(pdat, aes(x = as.numeric(bin), y = prop, color = method)) +
  geom_line() +
  facet_wrap(vars(contrast), ncol = 3) +
  scale_x_continuous(breaks = as.numeric(levels(pdat$bin)), labels = binLabs) +
  theme(axis.text.x = element_text(angle=45, hjust = 1, vjust = 1,
                                   size = 7),
        legend.position = "bottom") +
  labs(x = "Med. No. CpGs per Gene per GO Cat. (binned)",
       y = "Prop. GO Cat. with p-value < 0.05",
       colour = "Method") +
    scale_color_manual(values = methodCols)
p

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b8b0c0b Jovana Maksimovic 2020-06-23
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afc650b JovMaksimovic 2020-05-11
da4f010 JovMaksimovic 2020-05-08
23cb749 JovMaksimovic 2020-04-28
06648a4 JovMaksimovic 2020-04-27
8dc1e0f Jovana Maksimovic 2020-04-24
caa373d Jovana Maksimovic 2020-04-24
76dacfc Jovana Maksimovic 2020-03-31

As we are comparing immune cells, we expect GO categories related to the immune system and its processes to be highly ranked. To evalue this, we downloaded all of the child terms for the GO category "immune system process" (GO:002376) from AminGO 2; http://amigo.geneontology.org/amigo/term/GO:0002376. We also examine results when top ranked 100 GO terms from RNA-seq analysis of the same cell type comparisons is used as "truth".

immuneGO <- unique(read.csv(here("data/GO-immune-system-process.txt"),
                            stringsAsFactors = FALSE, header = FALSE,
                            col.names = "GOID"))

rnaseqGO <- readRDS(here("data/RNAseq-GO.rds"))
rnaseqGO %>% group_by(contrast) %>%
    mutate(rank = 1:n()) %>%
    filter(rank <= 100) -> topGOSets

p <- vector("list", length(unique(dat$contrast)))

for(i in 1:length(unique(dat$contrast))){
    cont <- sort(unique(dat$contrast))[i]
    
    dat %>% filter(set == "GO") %>%
        filter(sub %in% c("n","c1")) %>%
        filter(contrast == cont) %>%
        mutate(method = unname(dict[method])) %>% 
        arrange(method, pvalue) %>%
        group_by(method) %>%
        mutate(rank = 1:n()) %>%
        filter(rank <= 100) %>%
        mutate(csum = cumsum(ID %in% immuneGO$GOID)) %>%
        mutate(truth = "ISP Terms") -> immuneSum
    
    dat %>% filter(set == "GO") %>%
        filter(sub %in% c("n","c1")) %>%
        filter(contrast == cont) %>%
        mutate(method = unname(dict[method])) %>% 
        arrange(method, pvalue) %>%
        group_by(method) %>%
        mutate(rank = 1:n()) %>%
        filter(rank <= 100) %>%
        mutate(csum = cumsum(ID %in% topGOSets$ID[topGOSets$contrast %in% 
                                                         contrast])) %>%
        mutate(truth = "RNAseq Terms") -> rnaseqSum
    
    truthSum <- bind_rows(immuneSum, rnaseqSum)
    
    p[[i]] <- ggplot(truthSum, aes(x = rank, y = csum, colour = method)) +
    geom_line() +
    facet_wrap(vars(truth), ncol = 2) +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Method", x = "Rank", 
         y = "Cumulative no. sets in truth") +
    theme(legend.position = "bottom") +
    scale_color_manual(values = methodCols)
}

p[[1]] + ggtitle(sort(unique(dat$contrast))[1])

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da4f010 JovMaksimovic 2020-05-08
06648a4 JovMaksimovic 2020-04-27
caa373d Jovana Maksimovic 2020-04-24
76dacfc Jovana Maksimovic 2020-03-31
p[[2]] + ggtitle(sort(unique(dat$contrast))[2])

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da4f010 JovMaksimovic 2020-05-08
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76dacfc Jovana Maksimovic 2020-03-31
p[[3]] + ggtitle(sort(unique(dat$contrast))[3])

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976b2b5 JovMaksimovic 2020-07-17
da4f010 JovMaksimovic 2020-05-08
06648a4 JovMaksimovic 2020-04-27
caa373d Jovana Maksimovic 2020-04-24
76dacfc Jovana Maksimovic 2020-03-31
fig <- here("output/figures/Fig-4C.rds")
saveRDS(p[[1]], fig, compress = FALSE)

fig <- here("output/figures/SFig-5A.rds")
saveRDS(p[[2]], fig, compress = FALSE)

fig <- here("output/figures/SFig-6A.rds")
saveRDS(p[[3]], fig, compress = FALSE)

Examine what the top 10 ranked gene sets are and how many genes they contain, for each method and comparison.

terms <- missMethyl:::.getGO()$idTable
nGenes <- rownames_to_column(data.frame(n = sapply(missMethyl:::.getGO()$idList, 
                                                   length)), 
                             var = "ID")

dat %>% filter(set == "GO") %>%
    filter(sub %in% c("n","c1")) %>% 
    mutate(method = unname(dict[method])) %>% 
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method) %>%
    mutate(FDR = p.adjust(pvalue, method = "BH")) %>%
    mutate(rank = 1:n()) %>%
    filter(rank <= 10) %>% 
    inner_join(terms, by = c("ID" = "GOID")) %>%
    inner_join(nGenes) -> sub
Joining, by = "ID"
p <- vector("list", length(unique(sub$contrast)))
truthPal <- scales::hue_pal()(4)
names(truthPal) <- c("Both", "ISP", "Neither", "RNAseq")

for(i in 1:length(p)){
    cont <- sort(unique(sub$contrast))[i]
    sub %>% filter(contrast == cont) %>%
        arrange(method, -rank) %>%
        ungroup() %>%
        mutate(idx = as.factor(1:n())) -> tmp
    
    setLabs <- substr(tmp$TERM, 1, 40)
    names(setLabs) <- tmp$idx
    
    tmp %>% mutate(rna = ID %in% topGOSets$ID[topGOSets$contrast %in% cont],
                   isp = ID %in% immuneGO$GOID,
                   both = rna + isp,
                   col = ifelse(both == 2, "Both", 
                                ifelse(both == 1 & rna == 1, "RNAseq",
                                       ifelse(both == 1 & isp == 1, 
                                              "ISP", "Neither")))) %>%
        mutate(col = factor(col, 
                            levels = c("Both", "ISP", "RNAseq", 
                                       "Neither"))) -> tmp
    
    p[[i]] <- ggplot(tmp, aes(x = -log10(FDR), y = idx, colour = col)) +
        geom_point(aes(size = n), alpha = 0.7) +
        scale_size(limits = c(min(sub$n), max(sub$n))) +
        facet_wrap(vars(method), ncol = 2, scales = "free") +
        scale_y_discrete(labels = setLabs) +
        scale_colour_manual(values = truthPal) +
        labs(y = "", size = "No. genes", colour = "In truth set") +
        theme(axis.text.y = element_text(size = 6),
              axis.text.x = element_text(size = 6),
              legend.box = "horizontal",
              legend.margin = margin(0, 0, 0, 0, unit = "lines"),
              panel.spacing.x = unit(1, "lines")) +
        coord_cartesian(xlim = c(-log10(0.99), -log10(10^-80))) +
        geom_vline(xintercept = -log10(0.05), linetype = "dashed") +
        ggtitle(cont)
}

shift_legend(p[[1]], plot = TRUE, pos = "left")

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
22f00e9 Jovana Maksimovic 2020-05-19
afc650b JovMaksimovic 2020-05-11
da4f010 JovMaksimovic 2020-05-08
23cb749 JovMaksimovic 2020-04-28
06648a4 JovMaksimovic 2020-04-27
caa373d Jovana Maksimovic 2020-04-24
shift_legend(p[[2]], plot = TRUE, pos = "left")

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
da4f010 JovMaksimovic 2020-05-08
23cb749 JovMaksimovic 2020-04-28
06648a4 JovMaksimovic 2020-04-27
caa373d Jovana Maksimovic 2020-04-24
shift_legend(p[[3]], plot = TRUE, pos = "left")

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
da4f010 JovMaksimovic 2020-05-08
23cb749 JovMaksimovic 2020-04-28
06648a4 JovMaksimovic 2020-04-27
caa373d Jovana Maksimovic 2020-04-24
fig <- here("output/figures/Fig-4D.rds")
saveRDS(shift_legend(p[[1]] + theme(plot.title = element_blank()),
                     pos = "left"), 
        fig, compress = FALSE)

fig <- here("output/figures/SFig-5B.rds")
saveRDS(shift_legend(p[[2]] + theme(plot.title = element_blank()),
                     pos = "left"), 
        fig, compress = FALSE)

fig <- here("output/figures/SFig-6B.rds")
saveRDS(shift_legend(p[[3]] + theme(plot.title = element_blank()),
                     pos = "left"), 
        fig, compress = FALSE)

P-value histograms for the different methods for all contrasts on GO categories.

dat %>% filter(set == "GO") %>%
    filter(sub %in% c("n","c1")) %>%
    mutate(method = unname(dict[method])) -> subDat 
    
ggplot(subDat, aes(pvalue, fill = method)) +
    geom_histogram(binwidth = 0.025) +
    facet_grid(cols = vars(contrast), rows = vars(method)) +
    theme(legend.position = "bottom") +
    labs(x = "P-value", y = "Frequency", fill = "Method") +
    scale_fill_manual(values = methodCols)

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
22f00e9 Jovana Maksimovic 2020-05-19
afc650b JovMaksimovic 2020-05-11
da4f010 JovMaksimovic 2020-05-08

Compare gometh results using different DM CpG significance cutoffs

dat %>% filter(set == "GO") %>%
    filter(grepl("mmethyl", method)) %>%
    mutate(method = unname(dict[method])) %>%
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method, sub) %>%
    mutate(csum = cumsum(ID %in% immuneGO$GOID)) %>% 
    mutate(rank = 1:n()) %>%
    mutate(cut = ifelse(sub == "c1", "Top 5000", 
                        ifelse(sub == "c2", "Top 10000",
                               ifelse(sub == "p1", "FDR < 0.01", "FDR < 0.05")))) %>%
    filter(rank <= 100) -> sub

p <- ggplot(sub, aes(x = rank, y = csum, colour = cut)) +
    geom_line() +
    facet_wrap(vars(contrast, method), ncol=2, nrow = 3, scales = "free") +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Sig. select", x = "Rank", y = "Cumulative no. immune sets") +
    theme(legend.position = "bottom")
p

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
22f00e9 Jovana Maksimovic 2020-05-19
afc650b JovMaksimovic 2020-05-11
da4f010 JovMaksimovic 2020-05-08
dat %>% filter(set == "GO") %>%
    filter(grepl("mmethyl", method)) %>%
    mutate(method = unname(dict[method])) %>%
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method, sub) %>%
    mutate(csum = cumsum(ID %in% topGOSets$ID[topGOSets$contrast %in% 
                                                  contrast])) %>%
    mutate(rank = 1:n()) %>%
    mutate(cut = ifelse(sub == "c1", "Top 5000", 
                        ifelse(sub == "c2", "Top 10000",
                               ifelse(sub == "p1", "FDR < 0.01", "FDR < 0.05")))) %>%
    filter(rank <= 100) -> sub

p <- ggplot(sub, aes(x = rank, y = csum, colour = cut)) +
    geom_line() +
    facet_wrap(vars(contrast, method), ncol=2, nrow = 3, scales = "free") +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Sig. select", x = "Rank", 
         y = glue("Cumulative no. RNAseq sets")) +
    theme(legend.position = "bottom")
p

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
22f00e9 Jovana Maksimovic 2020-05-19
afc650b JovMaksimovic 2020-05-11

Test KEGG pathways

Now test KEGG pathways with at least 5 genes and 5000 at most.

Again, as we are comparing immune cells we expecte pathways from the following categories to be highly ranked: Immune system, Immune disease, Signal transduction, Signaling molecules and interaction; https://www.genome.jp/kegg/pathway.html.

Examine results when top ranked 100 KEGG pathways from RNA-seq analysis of the same cell type comparisons is used as "truth".

immuneKEGG <- read.csv(here("data/kegg-immune-related-pathways.csv"), 
                            stringsAsFactors = FALSE, header = FALSE, 
                            col.names = c("ID","pathway"))
immuneKEGG$PID <- paste0("path:hsa0",immuneKEGG$ID)

dat %>% filter(set == "KEGG") %>%
    filter(sub %in% c("n","c1")) %>% 
    mutate(method = unname(dict[method])) %>%
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method) %>%
    mutate(csum = cumsum(ID %in% immuneKEGG$PID)) %>%
    mutate(rank = 1:n()) %>%
    filter(rank <= 100) -> sub

p1 <- ggplot(sub, aes(x = rank, y = csum, colour = method)) +
    geom_line() +
    facet_wrap(vars(contrast), ncol=3) +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Method", x = "Rank", y = "Cumulative no. immune sets") +
    theme(legend.position = "bottom") +
    scale_color_manual(values = methodCols)
rnaseqKEGG <- readRDS(here("data/RNAseq-KEGG.rds"))
rnaseqKEGG %>% group_by(contrast) %>%
    mutate(rank = 1:n()) %>%
    filter(rank <= 100) -> topKEGG

dat %>% filter(set == "KEGG") %>%
    filter(sub %in% c("n","c1")) %>%
    mutate(method = unname(dict[method])) %>%
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method) %>%
    mutate(csum = cumsum(ID %in% topKEGG$PID[topKEGG$contrast %in% contrast])) %>%
    mutate(rank = 1:n()) %>%
    filter(rank <= 100) -> sub

p2 <- ggplot(sub, aes(x = rank, y = csum, colour = method)) +
    geom_line() +
    facet_wrap(vars(contrast), ncol=3, scales = "free_y") +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Method", x = "Rank", y = "Cumulative no. RNAseq sets") +
    theme(legend.position = "bottom") + 
    scale_color_manual(values = methodCols)

p3 <- p1 / p2 + 
    plot_layout(guides = "collect") & 
    theme(legend.position = "bottom")
p3

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
22f00e9 Jovana Maksimovic 2020-05-19
fig <- here("output/figures/SFig-7A.rds")
saveRDS(p1, fig, compress = FALSE)

fig <- here("output/figures/SFig-7B.rds")
saveRDS(p2, fig, compress = FALSE)

Examine what the top 10 ranked gene sets are and how many genes they contain, for each method and comparison.

terms <- missMethyl:::.getKEGG()$idTable
nGenes <- rownames_to_column(data.frame(n = sapply(missMethyl:::.getKEGG()$idList, 
                                                   length)), 
                             var = "ID")

dat %>% filter(set == "KEGG") %>%
    filter(sub %in% c("n","c1")) %>% 
    mutate(method = unname(dict[method])) %>%
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method) %>%
    mutate(FDR = p.adjust(pvalue, method = "BH")) %>%
    mutate(rank = 1:n()) %>%
    filter(rank <= 10) %>% 
    inner_join(terms, by = c("ID" = "PathwayID")) %>%
    inner_join(nGenes) -> sub
Joining, by = "ID"
p <- vector("list", length(unique(sub$contrast)))
for(i in 1:length(p)){
    cont <- sort(unique(sub$contrast))[i]
    sub %>% filter(contrast == cont) %>%
        arrange(method, -rank) %>%
        ungroup() %>%
        mutate(idx = as.factor(1:n())) -> tmp
    
    setLabs <- substr(tmp$Description, 1, 40)
    names(setLabs) <- tmp$idx
    
    tmp %>% mutate(rna = ID %in% topKEGG$PID[topKEGG$contrast %in% cont],
                   isp = ID %in% immuneKEGG$PID,
                   both = rna + isp,
                   col = ifelse(both == 2, "Both", 
                                ifelse(both == 1 & rna == 1, "RNAseq",
                                       ifelse(both == 1 & isp == 1, 
                                              "ISP", "Neither")))) %>%
        mutate(col = factor(col, 
                            levels = c("Both", "ISP", "RNAseq", 
                                       "Neither"))) -> tmp
    
    p[[i]] <- ggplot(tmp, aes(x = -log10(FDR), y = idx, colour = col)) +
        geom_point(aes(size = n), alpha = 0.7) +
        scale_size(limits = c(min(sub$n), max(sub$n))) +
        facet_wrap(vars(method), ncol = 2, scales = "free") +
        scale_y_discrete(labels = setLabs) +
        scale_colour_manual(values = truthPal) +
        labs(y = "", size = "No. genes", colour = "In truth set") +
        theme(axis.text.y = element_text(size = 6),
              axis.text.x = element_text(size = 6),
              legend.box = "horizontal",
              legend.margin = margin(0, 0, 0, 0, unit = "lines"),
              panel.spacing.x = unit(1, "lines")) +
        coord_cartesian(xlim = c(-log10(0.99), -log10(10^-80))) +
        geom_vline(xintercept = -log10(0.05), linetype = "dashed") +
        ggtitle(cont)
}

shift_legend(p[[1]], plot = TRUE, pos = "left")

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
22f00e9 Jovana Maksimovic 2020-05-19
shift_legend(p[[2]], plot = TRUE, pos = "left")

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
shift_legend(p[[3]], plot = TRUE, pos = "left")

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
fig <- here("output/figures/SFig-7C.rds")
saveRDS(shift_legend(p[[1]] + theme(plot.title = element_blank()),
                     pos = "left"), 
        fig, compress = FALSE)

fig <- here("output/figures/SFig-7D.rds")
saveRDS(shift_legend(p[[2]] + theme(plot.title = element_blank()),
                     pos = "left"), 
        fig, compress = FALSE)

fig <- here("output/figures/SFig-7E.rds")
saveRDS(shift_legend(p[[3]] + theme(plot.title = element_blank()),
                     pos = "left"), 
        fig, compress = FALSE)

P-value histograms for the different methods for all contrasts on KEGG pathways.

dat %>% filter(set == "KEGG") %>%
    filter(sub %in% c("n","c1")) %>%
    mutate(method = unname(dict[method])) -> subDat 
    
ggplot(subDat, aes(pvalue, fill = method)) +
    geom_histogram(binwidth = 0.025) +
    facet_grid(cols = vars(contrast), rows = vars(method)) +
    theme(legend.position = "bottom") +
    labs(x = "P-value", y = "Frequency", fill = "Method") +
    scale_fill_manual(values = methodCols)

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
22f00e9 Jovana Maksimovic 2020-05-19

Compare gometh results using different DM CpG significance cutoffs

dat %>% filter(set == "KEGG") %>%
    filter(grepl("mmethyl", method)) %>% 
    mutate(method = unname(dict[method])) %>%
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method, sub) %>%
    mutate(csum = cumsum(ID %in% immuneKEGG$PID)) %>% 
    mutate(rank = 1:n()) %>%
    mutate(cut = ifelse(sub == "c1", "Top 5000", 
                        ifelse(sub == "c2", "Top 10000",
                               ifelse(sub == "p1", "FDR < 0.01", "FDR < 0.05")))) %>%
    filter(rank <= 100) -> sub

p <- ggplot(sub, aes(x = rank, y = csum, colour = cut)) +
    geom_line() +
    facet_wrap(vars(contrast, method), ncol=2, nrow = 3, scales = "free") +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Sig. select", x = "Rank", y = "Cumulative no. immune sets") +
    theme(legend.position = "bottom")
p

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
dat %>% filter(set == "KEGG") %>%
    filter(grepl("mmethyl", method)) %>% 
    mutate(method = unname(dict[method])) %>%
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method, sub) %>%
    mutate(csum = cumsum(ID %in% topKEGG$PID[topKEGG$contrast %in% contrast])) %>%
    mutate(rank = 1:n()) %>%
    mutate(cut = ifelse(sub == "c1", "Top 5000", 
                        ifelse(sub == "c2", "Top 10000",
                               ifelse(sub == "p1", "FDR < 0.01", "FDR < 0.05")))) %>%
    filter(rank <= 100) -> sub

p <- ggplot(sub, aes(x = rank, y = csum, colour = cut)) +
    geom_line() +
    facet_wrap(vars(contrast, method), ncol=2, nrow = 3, scales = "free") +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Sig. select", x = "Rank", 
         y = glue("Cumulative no. RNAseq sets")) +
    theme(legend.position = "bottom")
p

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23

Test BROAD gene sets

As the ebGSEA method from the ChAMP package only allows testing of their in-built database of Broad Institute gene sets, we will compare to other methods by testing these same gene sets. Using the top 100 ranked gene sets as identified by Belinda's gsaseq analysis of the corresponding RNAseq data as "truth".

rnaseqBROAD <- readRDS(here("data/RNAseq-BROAD-GSA.rds"))
rnaseqBROAD %>% group_by(contrast) %>%
    mutate(rank = 1:n()) %>%
    filter(rank <= 100) -> topBROAD

p <- vector("list", length(unique(dat$contrast)))

for(i in 1:length(unique(dat$contrast))){
    cont <- sort(unique(dat$contrast))[i]
    
    dat %>% filter(set == "BROAD") %>%
        filter(sub %in% c("n","c1")) %>%
        filter(contrast == cont) %>%
        mutate(method = unname(dict[method])) %>% 
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method) %>%
    mutate(csum = cumsum(ID %in% topBROAD$ID[topBROAD$contrast %in% contrast])) %>%
    mutate(rank = 1:n()) %>%
    filter(rank <= 100) -> sub
    
    p[[i]] <- ggplot(sub, aes(x = rank, y = csum, colour = method)) +
    geom_line() +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Method", x = "Rank", y = "Cumulative no. RNAseq sets") +
    theme(legend.position = "bottom") +
    scale_color_manual(values = methodCols) +
        ggtitle(cont)
}

p[[1]]

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
p[[2]]

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
p[[3]]

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
fig <- here("output/figures/SFig-8A.rds")
saveRDS(p[[1]], fig, compress = FALSE)

fig <- here("output/figures/SFig-9A.rds")
saveRDS(p[[2]], fig, compress = FALSE)

fig <- here("output/figures/SFig-10A.rds")
saveRDS(p[[3]], fig, compress = FALSE)
data(PathwayList)
nGenes <- rownames_to_column(data.frame(n = sapply(PathwayList, 
                                                   length)), 
                             var = "ID")

dat %>% filter(set == "BROAD") %>%
    filter(sub %in% c("n","c1")) %>% 
    mutate(method = unname(dict[method])) %>% 
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method) %>%
    mutate(FDR = p.adjust(pvalue, method = "BH")) %>%
    mutate(rank = 1:n()) %>%
    filter(rank <= 10) %>% 
    inner_join(nGenes) -> sub
Joining, by = "ID"
p <- vector("list", length(unique(sub$contrast)))
for(i in 1:length(p)){
    cont <- sort(unique(sub$contrast))[i]
    sub %>% filter(contrast == cont) %>%
        arrange(method, -rank) %>%
        ungroup() %>%
        mutate(idx = as.factor(1:n())) -> tmp
    
    setLabs <- substr(tmp$ID, 1, 30)
    names(setLabs) <- tmp$idx
    
    tmp %>% mutate(rna = ID %in% topBROAD$ID[topGOSets$contrast %in% cont],
                   col = ifelse(rna == 1, "RNAseq", "None")) %>%
        mutate(col = factor(col, levels = c("RNAseq", "None"))) -> tmp
    
    p[[i]] <- ggplot(tmp, aes(x = -log10(FDR), y = idx, colour = col)) +
        geom_point(aes(size = n), alpha = 0.7) +
        scale_size(limits = c(min(sub$n), max(sub$n))) +
        facet_wrap(vars(method), ncol = 2, scales = "free") +
        scale_y_discrete(labels = setLabs) +
        scale_color_manual(values = scales::hue_pal()(4)[3:4]) +
        labs(y = "", size = "No. genes", colour = "In truth set") +
        theme(axis.text.y = element_text(size = 6),
              axis.text.x = element_text(size = 6),
              legend.box = "horizontal",
              legend.margin = margin(0, 0, 0, 0, unit = "lines"),
              panel.spacing.x = unit(1, "lines")) +
        coord_cartesian(xlim = c(-log10(0.99), -log10(10^-100))) +
        geom_vline(xintercept = -log10(0.05), linetype = "dashed") +
        ggtitle(cont)
}

shift_legend(p[[1]], plot = TRUE, pos = "left")

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
shift_legend(p[[2]], plot = TRUE, pos = "left")

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
shift_legend(p[[3]], plot = TRUE, pos = "left")

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
fig <- here("output/figures/SFig-8B.rds")
saveRDS(shift_legend(p[[1]] + theme(plot.title = element_blank()),
                     pos = "left"), 
        fig, compress = FALSE)

fig <- here("output/figures/SFig-9B.rds")
saveRDS(shift_legend(p[[2]] + theme(plot.title = element_blank()),
                     pos = "left"), 
        fig, compress = FALSE)

fig <- here("output/figures/SFig-10B.rds")
saveRDS(shift_legend(p[[3]] + theme(plot.title = element_blank()),
                     pos = "left"), 
        fig, compress = FALSE)

P-value histograms for the different methods for all contrasts on BROAD gene sets.

dat %>% filter(set == "BROAD") %>%
    filter(sub %in% c("n","c1")) %>%
    mutate(method = unname(dict[method])) -> subDat 
    
ggplot(subDat, aes(pvalue, fill = method)) +
    geom_histogram(binwidth = 0.025) +
    facet_grid(cols = vars(contrast), rows = vars(method)) +
    theme(legend.position = "bottom") +
    labs(x = "P-value", y = "Frequency", fill = "Method") +
    scale_fill_manual(values = methodCols)

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23

Compare gometh results using different DM CpG significance cutoffs

dat %>% filter(set == "BROAD") %>%
    filter(grepl("mmethyl", method)) %>% 
    mutate(method = unname(dict[method])) %>%
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method, sub) %>%
    mutate(csum = cumsum(ID %in% topBROAD$ID)) %>% 
    mutate(rank = 1:n()) %>%
    mutate(cut = ifelse(sub == "c1", "Top 5000", 
                        ifelse(sub == "c2", "Top 10000",
                               ifelse(sub == "p1", "FDR < 0.01", "FDR < 0.05")))) %>%
    filter(rank <= 100) -> sub

p <- ggplot(sub, aes(x = rank, y = csum, colour = cut)) +
    geom_line() +
    facet_wrap(vars(contrast, method), ncol=2, nrow = 3, scales = "free") +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Sig. select", x = "Rank", y = "Cumulative no. immune sets") +
    theme(legend.position = "bottom")
p

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23
dat %>% filter(set == "BROAD") %>%
    filter(grepl("mmethyl", method)) %>% 
    mutate(method = unname(dict[method])) %>%
    arrange(contrast, method, pvalue) %>%
    group_by(contrast, method, sub) %>%
    mutate(csum = cumsum(ID %in% topBROAD$ID)) %>% 
    mutate(rank = 1:n()) %>%
    mutate(cut = ifelse(sub == "c1", "Top 5000", 
                        ifelse(sub == "c2", "Top 10000",
                               ifelse(sub == "p1", "FDR < 0.01", "FDR < 0.05")))) %>%
    filter(rank <= 100) -> sub

p <- ggplot(sub, aes(x = rank, y = csum, colour = cut)) +
    geom_line() +
    facet_wrap(vars(contrast, method), ncol=2, nrow = 3, scales = "free") +
    geom_vline(xintercept = 10, linetype = "dotted") +
    labs(colour = "Sig. select", x = "Rank", y = "Cumulative no. immune sets") +
    theme(legend.position = "bottom")
p

Version Author Date
976b2b5 JovMaksimovic 2020-07-17
b8b0c0b Jovana Maksimovic 2020-06-23

sessionInfo()
R version 3.6.3 (2020-02-29)
Platform: x86_64-apple-darwin15.6.0 (64-bit)
Running under: macOS Mojave 10.14.6

Matrix products: default
BLAS:   /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRblas.0.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRlapack.dylib

locale:
[1] en_AU.UTF-8/en_AU.UTF-8/en_AU.UTF-8/C/en_AU.UTF-8/en_AU.UTF-8

attached base packages:
 [1] grid      stats4    parallel  stats     graphics  grDevices utils    
 [8] datasets  methods   base     

other attached packages:
 [1] IlluminaHumanMethylationEPICanno.ilm10b4.hg19_0.6.0
 [2] lemon_0.4.5                                        
 [3] ChAMPdata_2.18.0                                   
 [4] patchwork_1.0.1                                    
 [5] rbin_0.2.0                                         
 [6] forcats_0.5.0                                      
 [7] stringr_1.4.0                                      
 [8] dplyr_1.0.0                                        
 [9] purrr_0.3.4                                        
[10] readr_1.3.1                                        
[11] tidyr_1.1.0                                        
[12] tibble_3.0.3                                       
[13] tidyverse_1.3.0                                    
[14] glue_1.4.1                                         
[15] ggplot2_3.3.2                                      
[16] missMethyl_1.20.4                                  
[17] gridExtra_2.3                                      
[18] reshape2_1.4.4                                     
[19] limma_3.42.2                                       
[20] paletteer_1.2.0                                    
[21] minfi_1.32.0                                       
[22] bumphunter_1.28.0                                  
[23] locfit_1.5-9.4                                     
[24] iterators_1.0.12                                   
[25] foreach_1.5.0                                      
[26] Biostrings_2.54.0                                  
[27] XVector_0.26.0                                     
[28] SummarizedExperiment_1.16.1                        
[29] DelayedArray_0.12.3                                
[30] BiocParallel_1.20.1                                
[31] matrixStats_0.56.0                                 
[32] Biobase_2.46.0                                     
[33] GenomicRanges_1.38.0                               
[34] GenomeInfoDb_1.22.1                                
[35] IRanges_2.20.2                                     
[36] S4Vectors_0.24.4                                   
[37] BiocGenerics_0.32.0                                
[38] here_0.1                                           
[39] workflowr_1.6.2                                    

loaded via a namespace (and not attached):
  [1] readxl_1.3.1                                      
  [2] backports_1.1.8                                   
  [3] BiocFileCache_1.10.2                              
  [4] plyr_1.8.6                                        
  [5] splines_3.6.3                                     
  [6] digest_0.6.25                                     
  [7] htmltools_0.5.0                                   
  [8] GO.db_3.10.0                                      
  [9] fansi_0.4.1                                       
 [10] magrittr_1.5                                      
 [11] memoise_1.1.0                                     
 [12] annotate_1.64.0                                   
 [13] modelr_0.1.8                                      
 [14] askpass_1.1                                       
 [15] siggenes_1.60.0                                   
 [16] prettyunits_1.1.1                                 
 [17] colorspace_1.4-1                                  
 [18] rvest_0.3.5                                       
 [19] blob_1.2.1                                        
 [20] rappdirs_0.3.1                                    
 [21] haven_2.3.1                                       
 [22] BiasedUrn_1.07                                    
 [23] xfun_0.15                                         
 [24] jsonlite_1.7.0                                    
 [25] crayon_1.3.4                                      
 [26] RCurl_1.98-1.2                                    
 [27] genefilter_1.68.0                                 
 [28] GEOquery_2.54.1                                   
 [29] IlluminaHumanMethylationEPICmanifest_0.3.0        
 [30] survival_3.2-3                                    
 [31] ruv_0.9.7.1                                       
 [32] gtable_0.3.0                                      
 [33] zlibbioc_1.32.0                                   
 [34] Rhdf5lib_1.8.0                                    
 [35] HDF5Array_1.14.4                                  
 [36] scales_1.1.1                                      
 [37] DBI_1.1.0                                         
 [38] rngtools_1.5                                      
 [39] Rcpp_1.0.5                                        
 [40] xtable_1.8-4                                      
 [41] progress_1.2.2                                    
 [42] bit_1.1-15.2                                      
 [43] mclust_5.4.6                                      
 [44] preprocessCore_1.48.0                             
 [45] httr_1.4.2                                        
 [46] RColorBrewer_1.1-2                                
 [47] ellipsis_0.3.1                                    
 [48] farver_2.0.3                                      
 [49] pkgconfig_2.0.3                                   
 [50] reshape_0.8.8                                     
 [51] XML_3.99-0.3                                      
 [52] dbplyr_1.4.4                                      
 [53] labeling_0.3                                      
 [54] tidyselect_1.1.0                                  
 [55] rlang_0.4.7                                       
 [56] later_1.1.0.1                                     
 [57] AnnotationDbi_1.48.0                              
 [58] cellranger_1.1.0                                  
 [59] munsell_0.5.0                                     
 [60] tools_3.6.3                                       
 [61] cli_2.0.2                                         
 [62] generics_0.0.2                                    
 [63] RSQLite_2.2.0                                     
 [64] broom_0.7.0                                       
 [65] evaluate_0.14                                     
 [66] yaml_2.2.1                                        
 [67] rematch2_2.1.2                                    
 [68] org.Hs.eg.db_3.10.0                               
 [69] knitr_1.29                                        
 [70] bit64_0.9-7.1                                     
 [71] fs_1.4.2                                          
 [72] beanplot_1.2                                      
 [73] scrime_1.3.5                                      
 [74] methylumi_2.32.0                                  
 [75] nlme_3.1-148                                      
 [76] doRNG_1.8.2                                       
 [77] whisker_0.4                                       
 [78] nor1mix_1.3-0                                     
 [79] xml2_1.3.2                                        
 [80] biomaRt_2.42.1                                    
 [81] compiler_3.6.3                                    
 [82] rstudioapi_0.11                                   
 [83] curl_4.3                                          
 [84] reprex_0.3.0                                      
 [85] statmod_1.4.34                                    
 [86] stringi_1.4.6                                     
 [87] IlluminaHumanMethylation450kanno.ilmn12.hg19_0.6.0
 [88] GenomicFeatures_1.38.2                            
 [89] lattice_0.20-41                                   
 [90] Matrix_1.2-18                                     
 [91] IlluminaHumanMethylation450kmanifest_0.4.0        
 [92] multtest_2.42.0                                   
 [93] vctrs_0.3.2                                       
 [94] pillar_1.4.6                                      
 [95] lifecycle_0.2.0                                   
 [96] cowplot_1.0.0                                     
 [97] data.table_1.12.8                                 
 [98] bitops_1.0-6                                      
 [99] httpuv_1.5.4                                      
[100] rtracklayer_1.46.0                                
[101] R6_2.4.1                                          
[102] promises_1.1.1                                    
[103] codetools_0.2-16                                  
[104] MASS_7.3-51.6                                     
[105] assertthat_0.2.1                                  
[106] rhdf5_2.30.1                                      
[107] openssl_1.4.2                                     
[108] rprojroot_1.3-2                                   
[109] withr_2.2.0                                       
[110] GenomicAlignments_1.22.1                          
[111] Rsamtools_2.2.3                                   
[112] GenomeInfoDbData_1.2.2                            
[113] mgcv_1.8-31                                       
[114] hms_0.5.3                                         
[115] quadprog_1.5-8                                    
[116] base64_2.0                                        
[117] rmarkdown_2.3                                     
[118] DelayedMatrixStats_1.8.0                          
[119] illuminaio_0.28.0                                 
[120] git2r_0.27.1                                      
[121] lubridate_1.7.9