When computing individual confidence intervals using the t statistic,for all possible pairwise comparisons of means,the experimentwise error rate will be:
A)Equal to α.
B)Less than α.
C)Greater than α.

Question

Quizplus · Accepted Answer

The experimentwise error rate refers to the probability of making at least one type I error (rejecting a true null hypothesis) among all possible pairwise comparisons of means. When multiple tests are conducted simultaneously, the probability of making a type I error for any one comparison (i.e. the familywise error rate) increases, and the experimentwise error rate (the probability of making at least one type I error across all comparisons) also increases. In this case, conducting individual confidence intervals using the t statistic for all possible pairwise comparisons of means increases the experimentwise error rate beyond the α level. Thus, the correct answer is C, which describes that the experiment-wise error rate is greater than alpha.

When Computing Individual Confidence Intervals Using the T Statistic,for All