EDISON-WMW: Exact Dynamic Programing Solution of the Wilcoxon-Mann-Whitney Test

Genomics, Proteomics & Bioinformatics
Alexander MarxAndreas Keller

Abstract

In many research disciplines, hypothesis tests are applied to evaluate whether findings are statistically significant or could be explained by chance. The Wilcoxon-Mann-Whitney (WMW) test is among the most popular hypothesis tests in medicine and life science to analyze if two groups of samples are equally distributed. This nonparametric statistical homogeneity test is commonly applied in molecular diagnosis. Generally, the solution of the WMW test takes a high combinatorial effort for large sample cohorts containing a significant number of ties. Hence, P value is frequently approximated by a normal distribution. We developed EDISON-WMW, a new approach to calculate the exact permutation of the two-tailed unpaired WMW test without any corrections required and allowing for ties. The method relies on dynamic programing to solve the combinatorial problem of the WMW test efficiently. Beyond a straightforward implementation of the algorithm, we presented different optimization strategies and developed a parallel solution. Using our program, the exact P value for large cohorts containing more than 1000 samples with ties can be calculated within minutes. We demonstrate the performance of this novel approach on randomly-generated data, ...Continue Reading

References

Mar 11, 2011·Lung Cancer : Journal of the International Association for the Study of Lung Cancer·Petra LeidingerEckart Meese

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Citations

Jun 7, 2018·AJR. American Journal of Roentgenology·Kristen A WangerinAndrei H Iagaru
May 2, 2019·Organic & Biomolecular Chemistry·Maximilian DörferDirk Hoffmeister
Aug 6, 2017·JMIR Human Factors·Awatef Ahmed Ben RamadanChester Lee Schmaltz
Jan 17, 2020·Zoo Biology·Barbara RegaiolliCaterina Spiezio
Oct 12, 2017·Plastic and Reconstructive Surgery·Michael S Weinstock, Howard D Stupak
Feb 25, 2020·Journal of Cosmetic Dermatology·Maurice A Adatto, Robyn M Adatto-Neilson
Jan 15, 2020·Irish Journal of Medical Science·Niall ByrneEileen P Treacy
Nov 30, 2019·Frontiers in Cellular and Infection Microbiology·Markus GresslerThierry Fontaine
Nov 30, 2018·Frontiers in Neuroanatomy·Claudia M García-PeñaAlfredo Varela-Echavarría
Nov 30, 2018·Nature Communications·Florian DouamAlexander Ploss
Jun 30, 2019·Integrative Biology : Quantitative Biosciences From Nano to Macro·Quang Long PhamRoman S Voronov
Jun 27, 2020·Scientific Reports·Ekaterina A EvtushenkoOlga V Karpova
Jan 8, 2021·Frontiers in Veterinary Science·Carolin M MorawietzSimone Haeberlein
Aug 18, 2020·Computational and Structural Biotechnology Journal·Jing TangFeng Zhu
Jan 8, 2021·Neurology. Neuroimmunology and Neuroinflammation·Christian P MoritzJean-Christophe Antoine
Oct 13, 2020·New Biotechnology·Christian P MoritzJean-Christophe Antoine
Sep 4, 2021·Journal of Genetics and Genomics = Yi Chuan Xue Bao·Chunbing LiuLi Yu
Jul 3, 2018··Jacob SchrumLauren E. Gillespie

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Software Mentioned

EDISON
SPSS
- WMW
R
WMW
ArcusQuickstat

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