Fisher's exact test or the chi-square test.Kruskal-Wallis or Friedman nonparametric one-way ANOVA with Dunn's post test.When this is chosen, multiple comparison tests also do not assume sphericity. Greenhouse-Geisser correction so repeated measures one-, two-, and three-way ANOVA do not have to assume sphericity.
Many multiple comparisons test are accompanied by confidence intervals and multiplicity adjusted P values. One-way ANOVA without assuming populations with equal standard deviations using Brown-Forsythe and Welch ANOVA, followed by appropriate comparisons tests (Games-Howell, Tamhane T2, Dunnett T3). Ordinary or repeated measures ANOVA followed by the Tukey, Newman-Keuls, Dunnett, Bonferroni or Holm-Sidak multiple comparison tests, the post-test for trend, or Fisher's Least Significant tests. Perform many t tests at once, using False Discovery Rate (or Bonferroni multiple comparisons) to choose which comparisons are discoveries to study further. Wilcoxon test with confidence interval of median. Kolmogorov-Smirnov test to compare two groups. Nonparametric Mann-Whitney test, including confidence interval of difference of medians. Automatically generate volcano plot (difference vs. Reports P values and confidence intervals.
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