The Bonferroni is a less conservative post hoc test than is the Tukey HSD.

Name: The Bonferroni is a less conservative post hoc test than is the Tukey HSD.
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The Bonferroni is actually more conservative than the Tukey HSD because it controls the family-wise error rate (FWER) at a stricter level by dividing the alpha level by the number of comparisons being made. The Tukey HSD, on the other hand, controls the FWER at a less strict level by using a critical value based on the range of the means.

The Bonferroni Is a Less Conservative Post Hoc Test Than