The experiment-wide error rate will be higher than the 0.05 significance level if the multiple comparison tests for the mean difference between any two populations use the 0.05 level.

Question

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When multiple comparisons are made, the chance of making at least one Type I error (incorrectly rejecting a true null hypothesis) across all tests increases beyond the error rate for individual tests, leading to an experiment-wide error rate higher than the nominal level (e.g., 0.05) if adjustments are not made.

The Experiment-Wide Error Rate Will Be Higher Than the 0