2013
DOI: 10.1016/j.febslet.2013.01.037
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The exact probability distribution of the rank product statistics for replicated experiments

Abstract: Edited by Paul Bertone Keywords:Rank product method Microarray Permutational inference Gamma approximation Exact inference a b s t r a c tThe rank product method is a widely accepted technique for detecting differentially regulated genes in replicated microarray experiments. To approximate the sampling distribution of the rank product statistic, the original publication proposed a permutation approach, whereas recently an alternative approximation based on the continuous gamma distribution was suggested. Howev… Show more

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Cited by 36 publications
(41 citation statements)
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“…The Rank Products (RP) method [17, 18] is a useful non-parametric test to evaluate the significance of differential expression by a series of fold change comparisons. Rankings arise from consistencies in fold change differences between samples; as such, a series of pairwise comparisons for each individual tissue against the rest of the sequenced tissues in our study identifies high-ranking transcripts that are preferentially expressed in a tissue compared to the rest.…”
Section: Resultsmentioning
confidence: 99%
“…The Rank Products (RP) method [17, 18] is a useful non-parametric test to evaluate the significance of differential expression by a series of fold change comparisons. Rankings arise from consistencies in fold change differences between samples; as such, a series of pairwise comparisons for each individual tissue against the rest of the sequenced tissues in our study identifies high-ranking transcripts that are preferentially expressed in a tissue compared to the rest.…”
Section: Resultsmentioning
confidence: 99%
“…To combine the experiments we calculate the product of the rank for every fragment. To approximate a p value we make use of the Gamma distribution (Koziol, 2010):P=1Γlnr(n+1)kAlthough, an exact calculation of the p value has been proposed (Eisinga et al., 2013), for larger samples this is computationally prohibitive.…”
Section: Methodsmentioning
confidence: 99%
“…Although, an exact calculation of the P -value has been proposed by Eisinga et al . (27), for larger samples this is computationally prohibitive. A Benjamini and Hochberg multiple testing procedure (28) is then applied with the aim to control for the false discovery rate (‘fdr’).…”
Section: Methodsmentioning
confidence: 99%