Tukey HSD method is used for post hoc testing
For post hoc testing of the difference between paired means
After a significant F in analysis of variance, Tukey's Honestly Significant Difference (HSD) procedure compares every pair of group means as a post hoc test.
It uses the studentized range statistic to find the minimum difference between any two means that is significant while keeping the familywise Type I error at the chosen level.
Homogeneity of variances is tested with Levene's or Bartlett's test, the significance of the difference between two variances is judged with the F-ratio (variance-ratio) test, and Tukey HSD controls rather than ignores the Type I error.
Hence, For post hoc testing of the difference between paired means.
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