MultiDST
Multiple Testing Made Easy
A tool designed for multiple hypothesis testing in statistical analysis. It provides implementations of various methods to control the family-wise error rate (FWER) and false discovery rate (FDR) in scenarios involving multiple hypothesis tests. Significant Index Plot (SIP) can be used to visualize the significant hypotheses under each of the method with ease.
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Implemented Methods
Bonferroni Correction
Baseline method; simple and conservative.
Bonferroni, C. (1935). Il calcolo delle assicurazioni su gruppi di teste. https://api.semanticscholar.org/CorpusID:89994272
Holm-Bonferroni Correction
Sequential approach; adjusts thresholds progressively.
Holm, S. (1979). A Simple Sequentially Rejective Multiple Test Procedure. Source: Scandinavian Journal of Statistics Scand J Statist, 6(6), 65–70. http://www.jstor.org/stable/4615733%0A http://www.jstor.org/page/info/about/policies/terms.jsp%0A http://www.jstor.org
Benjamini-Hochberg Procedure
Balances power and control; widely used in genomics.
Benjamini, Y., & Hochberg, Y. (1995). "Controlling the false discovery rate: A practical and powerful approach to multiple testing." Journal of the Royal Statistical Society. Series B (Methodological), 57(1), 289-300.
Benjamini-Yekutieli Method
FDR control under dependence; accounts for correlated tests.
Benjamini, Y., & Yekutieli, D. (2001a). The control of the false discovery rate in multiple testing under dependency. Annals of Statistics, 29(4), 1165–1188. https://doi.org/10.1214/aos/1013699998
Storey’s Q Value
Adaptive FDR control; estimates proportion of true null hypotheses.
Storey, J. D., & Tibshirani, R. (2003). Statistical Significance for Genome-Wide Studies.
SGoF Test (Sequential Goodness-of-Fit)
Increased power for large-scale testing; combines p-values from multiple tests.
Carvajal-Rodríguez, A., de Uña-Alvarez, J., & Rolán-Alvarez, E. (2009). A new multitest correction (SGoF) that increases its statistical power when increasing the number of tests. BMC Bioinformatics, 10, 209. https://doi.org/10.1186/1471-2105-10-209
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