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Statistical Tests

Understanding different statistical tests, their applications, and interpretations

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Question

What is Tukey's HSD test?

Answer

A post-hoc test that compares all possible pairs of group means while controlling the family-wise error rate.

HSD = q × √(MSE/n) where q is studentized range statistic

Example: After ANOVA shows significant difference among 4 treatments, Tukey's HSD identifies which specific pairs differ

Note: Use only after significant ANOVA; controls Type I error across all comparisons; assumes equal group sizes (or use Tukey-Kramer for unequal n)