In a one-way ANOVA where there are k treatments and n observations, the numbers of degrees of freedom for the F-statistic are equal to:
A) k - 1 and n - 1.
B) k - 1 and n - k.
C) n - k and k - 1.
D) nk - 1 and k - 1.

Question

Quizplus · Accepted Answer

The number of degrees of freedom for the numerator of the F-statistic is k - 1, which represents the number of treatment groups being compared. The number of degrees of freedom for the denominator of the F-statistic is n - k, which represents the total number of observations minus the number of treatment groups being compared. Therefore, the correct answer is B, which matches these values.

In a One-Way ANOVA Where There Are K Treatments and N