Which of the following does NOT adjust the overall type I error rate when doing

Question

Which of the following does NOT adjust the overall type I error rate when doing multiple comparisons? (a) Fisher's Least Significant Difference (b) Bonferroni Correction (c) Tukey's Honestly Significant Difference (d) All of the above make an adjustment for the overall type I error rate How many tests are required to test all possible comparisons for 4 groups? What is the Bonferroni Correction alpha_near for comparing all combinations of 4 groups using alpha_individual = 0.1? What is the overall type I error rate if I perform 5 tests with a Bonferroni correction at alpha_individual = 0.5? 5. If alpha decreases, then (a) P(type II error) increases (b) power decreases (c) we reject fewer tests in general (d) All of the above

Explanation / Answer

1 b)Bonferroni correction

5 Decrease the level of significance - decrease probability of Type 1 error but increases probability of type 2 error.

If you increase the significance level, you reduce the region of acceptance. As a result, you are more likely to reject the null hypothesis. This means you are less likely to accept the null hypothesis when it is false; i.e., less likely to make a Type II error. Hence, the power of the test is increased.

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