Post hoc tests help identify which groups are significantly different from each other when the ANOVA or a similar test indicates a significant overall difference but doesn't specify which groups differ.
Tukey's Honestly Significant Difference (HSD):
Appropriate when comparing all possible pairs of means.
Bonferroni Correction:
Adjusts the significance level to control for multiple comparisons.
Dunnett's Test:
Useful when comparing each treatment group to a control group.
Scheffe's Test:
Suitable for a large number of comparisons. It is less conservative but requires a larger sample size to maintain statistical power.
Post hoc tests help identify which pairs of groups have statistically significant differences in means.
Kruskal-Wallis Test is a non-parametric test that is used to compare the differences between two or more groups of data.
K-S is an extension of the Mann-Whitney U test for more than two groups.
Wilcoxon Rank-sum Test merges all the observations from two classes and rank them in ascending order.