The test statistic of the single-factor ANOVA equals:
A) sum of squares for treatments / sum of squares for error
B) sum of squares for error / sum of squares for treatments
C) sum of squares for error / mean square for error
D) mean square for treatments / mean square for error
E) mean square for error / mean square for treatments

Question

Quizplus · Accepted Answer

The formula for the test statistic in single-factor ANOVA is the ratio of the mean square for treatments to the mean square for error, which is represented by D. Option A is incorrect because it is the formula for F-ratio. Option B is incorrect because it is simply the opposite of the correct formula. Option C is incorrect because it only includes the sum of squares and mean square for error, ignoring the treatments. Option E is also incorrect because it has the mean square for treatments in the denominator, instead of numerator like in the correct formula.

The Test Statistic of the Single-Factor ANOVA Equals