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Determines whether an a priori defined set of genes shows statistically significant, concordant differences between two biological states

  • fgsea package and download stat
    data(examplePathways) # a list of length 1457 (pathways)
    data(exampleRanks)    # a vector of length 12000 (genes)
                   exampleRanks) + labs(title="Programmed Cell Death")

Two categories of GSEA procedures:

  • Competitive: compare genes in the test set relative to all other genes.
  • Self-contained: whether the gene-set is more DE than one were to expect under the null of no association between two phenotype conditions (without reference to other genes in the genome). For example the method by Jiang & Gentleman Bioinformatics 2007

See also BRB-ArrayTools -> GSEA.


  • XXX class is associated with the XXX gene sets (GSVA vignette)
  • XXX subtype is characterized by the expression of XXX markers, thus we expect it to correlate with the XXX gene set (GSVA vignette)
  • The XXX subtype shows high expression of XXX genes, thus the XXX gene sets is highly enriched for this group (GSVA vignette)

FDR cutoff

Why does GSEA use a false discovery rate (FDR) of 0.25 rather than the more classic 0.05?

Subramanian algorithm

In the plot, (x-axis) genes are sorted by their expression across all samples. Y-axis represents enrichment score. See HOW TO PERFORM GSEA - A tutorial on gene set enrichment analysis for RNA-seq. Bars represents genes being in the gene set. Genes on the LHS/RHS are more highly expressed in the experimental/control group. Small p means this gene set is enriched in this experimental sample.


  • ssGSEAProjection (v9.1.2). Each ssGSEA enrichment score represents the degree to which the genes in a particular gene set are coordinately up- or down-regulated within a sample.
  • single sample GSEA (ssGSEA) from
  • How single sample GSEA works
  • Data formats gct (expression data format), gmt (gene set database format).
  • GSVA and SSGSEA for RNA-Seq TPM data.
    • Generally, negative enrichment values imply down-regulation of a signature / pathway; whereas, positive values imply up-regulation.
    • The idea is to then conduct a differential signature / pathway analysis (using, for example, limma) so that you can have, in addition to differentially expressed genes, differentially expressed signatures / pathways.
  • GSVA vignette. In GSEA Subramanian et al. (2005) it is also observed that the empirical null distribution obtained by permuting phenotypes is bimodal and, for this reason, significance is determined independently using the positive and negative sides of the null distribution.
  • 纯R代码实现ssGSEA算法评估肿瘤免疫浸润程度. The pheatmap package was used to draw the heatmap.
  • gsva() from the GSVA package has an option to compute ssGSEA. 单样本基因集富集分析 --- ssGSEA. The output of gsva() is a matrix of ES (# gene sets x # samples). It does not produce plots nor running the permutation tests. Notice the option ssgsea.norm.
    p <- 10 ## number of genes
    n <- 30 ## number of samples
    nGrp1 <- 15 ## number of samples in group 1
    nGrp2 <- n - nGrp1 ## number of samples in group 2
    ## consider three disjoint gene sets
    geneSets <- list(set1=paste("g", 1:3, sep=""),
                     set2=paste("g", 4:6, sep=""),
                     set3=paste("g", 7:10, sep=""))
    ## sample data from a normal distribution with mean 0 and 1
    y <- matrix(rnorm(n*p), nrow=p, ncol=n,
                dimnames=list(paste("g", 1:p, sep="") , paste("s", 1:n, sep="")))
    ## genes in set1 are expressed at higher levels in the last 'nGrp1+1' to 'n' samples
    y[geneSets$set1, (nGrp1+1):n] <- y[geneSets$set1, (nGrp1+1):n] + 2
    gsva_es <- gsva(y, geneSets, method="ssgsea")
    dim(gsva_es) #  3 x 30
    hist(gsva_es) # bi-modal
    # [1] -0.4390651  0.5609349
    ## build design matrix
    design <- cbind(sampleGroup1=1, sampleGroup2vs1=c(rep(0, nGrp1), rep(1, nGrp2)))
    ## fit the same linear model now to the GSVA enrichment scores
    fit <- lmFit(gsva_es, design)
    ## estimate moderated t-statistics
    fit <- eBayes(fit)
    ## set1 is differentially expressed
    topTable(fit, coef="sampleGroup2vs1")
    #           logFC     AveExpr         t      P.Value    adj.P.Val         B
    # set1  0.5045008 0.272674410  8.065096 4.493289e-12 1.347987e-11 17.067380
    # set2 -0.1474396 0.029578749 -2.315576 2.301957e-02 3.452935e-02 -4.461466
    # set3 -0.1266808 0.001380826 -2.060323 4.246231e-02 4.246231e-02 -4.992049
    heatmaply(gsva_es)   # easy to see a pattern
                         # samples' clusters are not perfect
    heatmaply(gsva_es, scale = "none")  # 'scale' is not working?
    heatmaply(y, Colv = F, Rowv= F, scale = "none") # not easy to see a pattern
  • A simple implementation of ssGSEA (single sample gene set enrichment analysis)
  • Use "ssgsea-gui.R". The first question is a folder containing input files GCT. The 2nd question is about gene set database in GMT format. This has to be very restrict. For example, "ptm.sig.db.all.uniprot.human.v1.9.0.gmt" and "ptm.sig.db.all.sitegrpid.human.v1.9.0.gmt" provided in github won't work with the example GCT file.
    # select a folder containing gct files; e.g. PI3K_pert_logP_n2x23936.gct 
    # select a gene set file; e.g. <ptm.sig.db.all.flanking.human.v1.8.1.gmt>

    A new folder (e.g. 2021-03-01) will be created under the same parent folder as the gct file folder.

    tree -L 1 ~/github/ssGSEA2.0/example/gct/2021-03-20/                         
    ├── PI3K_pert_logP_n2x23936_ssGSEA-combined.gct
    ├── PI3K_pert_logP_n2x23936_ssGSEA-fdr-pvalues.gct
    ├── PI3K_pert_logP_n2x23936_ssGSEA-pvalues.gct
    ├── PI3K_pert_logP_n2x23936_ssGSEA-scores.gct
    ├── PI3K_pert_logP_n2x23936_ssGSEA.RData
    ├── parameters.txt
    ├── rank-plots
    ├── run.log
    └── signature_gct
    tree ~/github/ssGSEA2.0/example/gct/2021-03-20/rank-plots | head -3 
    # 102 files. One file per matched gene set
    ├── DISEASE.PSP_Alzheime_2.pdf
    ├── DISEASE.PSP_breast_c_2.pdf
    tree ~/github/ssGSEA2.0/example/gct/2021-03-20/signature_gct | head -3                    
    # 102 files. One file per matched gene set
    ├── DISEASE.PSP_Alzheimer.s_disease_n2x23.gct
    ├── DISEASE.PSP_breast_cancer_n2x14.gct

    Since the GCT file contains 2 samples (the last 2 columns), ssGSEA produces one rank plot for each gene set (with adjusted p-value & the plot could contain multiple samples). The ES scores are saved in <PI3K_pert_logP_n2x23936_ssGSEA-scores> and adjust p-values are saved in <PI3K_pert_logP_n2x23936_ssGSEA-fdr-pvalues>.


  • Some discussions from Find -> "ssgsea"
  • Some papers.
  • 【生信分析 3】教你看懂GSEA和ssGSEA分析结果. No groups/classes in the data (6:33). Output is a heatmap. Each value is computed sample by sample. Rows = gene set. Columns = (sorted by the 1st gene set) samples.


Selected papers

Popularity and performance of bioinformatics software: the case of gene set analysis Xie 2021


Gene-set distance analysis (GSDA): a powerful tool for gene-set association analysis