Comparison of c means in one-factor ANOVA can equivalently be done by using c individual t-tests on c pairs of means at the same α.

Question

Quizplus · Accepted Answer

Using c individual t-tests on c pairs of means without adjusting the significance level (α) increases the Type I error rate beyond the nominal level. One-factor ANOVA controls for this by comparing all means simultaneously, maintaining the overall Type I error rate at the desired level.

Comparison of C Means in One-Factor ANOVA Can Equivalently Be