The advantage of using the Tukey- Kramer multiple comparisons procedure is that the probability of making a Type I error applies to all possible combinations of sample pairs.

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The Tukey-Kramer method controls the family-wise error rate for all comparisons, ensuring that the probability of making at least one Type I error across all possible pairwise comparisons does not exceed the chosen significance level.

The Advantage of Using the Tukey- Kramer Multiple Comparisons Procedure