The test statistic of the completely randomized ANOVA design equals:
A) sum of squares for treatments / sum of squares for error
B) sum of squares for error / sum of squares for treatments
C) mean square for treatments / mean square for error
D) mean square for error / mean square for treatments
E) sum of squares for error / mean square for error

Question

Quizplus · Accepted Answer

The test statistic for a completely randomized ANOVA design is the F statistic, which is the ratio of the mean square for treatments (the variance between treatment groups) to the mean square for error (the variance within treatment groups). Therefore, the correct choice is C, which is the ratio of the mean square for treatments to the mean square for error.

The Test Statistic of the Completely Randomized ANOVA Design Equals