When the null hypothesis is rejected in an ANOVA test, Fisher's least significant difference method is superior to Tukey's honestly significant differences method to determine which population means differ.

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Fisher's least significant difference method and Tukey's honestly significant differences method are both post-hoc tests used to determine which population means differ after rejecting the null hypothesis in an ANOVA test. There is no general consensus on which test is superior, as it depends on the specific experimental design and research question.

When the Null Hypothesis Is Rejected in an ANOVA Test