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The method is named for its use of the Bonferroni inequalities. [1] Application of the method to confidence intervals was described by Olive Jean Dunn. [2] Statistical hypothesis testing is based on rejecting the null hypothesis when the likelihood of the observed data would be low if the null hypothesis were true.
Another procedure is the Holm–Bonferroni method, which uniformly delivers more power than the simple Bonferroni correction, by testing only the lowest p-value (=) against the strictest criterion, and the higher p-values (>) against progressively less strict criteria.
The Holm–Bonferroni method is "uniformly" more powerful than the classic Bonferroni correction, meaning that it is always at least as powerful. There are other methods for controlling the FWER that are more powerful than Holm–Bonferroni. For instance, in the Hochberg procedure, rejection of () …
The procedures of Bonferroni and Holm control the FWER under any dependence structure of the p-values (or equivalently the individual test statistics).Essentially, this is achieved by accommodating a `worst-case' dependence structure (which is close to independence for most practical purposes).
There are many FCR procedures such as: Bonferroni-Selected–Bonferroni-Adjusted, [citation needed] Adjusted BH-Selected CIs (Benjamini and Yekutieli (2005)), [24] Bayes FCR (Yekutieli (2008)), [citation needed] and other Bayes methods.
The Holm–Bonferroni method is a special case of a closed test procedure for which each intersection null ... Holm–Bonferroni method; Bonferroni correction; References
Chi-square automatic interaction detection (CHAID) [1] is a decision tree technique based on adjusted significance testing (Bonferroni correction, Holm-Bonferroni testing). [ 2 ] [ 3 ] History
There is also variability in the type of correction applied for Multiple comparisons, the most common being the Bonferroni correction. Methods also vary in their input – some take unranked gene sets, others take ranked gene sets, with more sophisticated methods allowing each gene to be associated with a magnitude (e.g., expression level ...