i. The rejection region for analysis of variance is in the upper tail of the F distribution. ii. In ANOVA, k-1degrees of freedom are associated with the numerator of the F ratio.
iii. In ANOVA, k-1degrees of freedom are associated with the denominator of the F ratio.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(i) is correct as the rejection region is always in the upper tail of the F distribution. (ii) is correct as the degrees of freedom associated with the numerator of the F ratio in ANOVA is k-1, where k is the number of groups being compared. (iii) is incorrect as the degrees of freedom associated with the denominator of the F ratio in ANOVA is not k-1, but rather the total number of observations minus the total number of groups, or N-k.

I the Rejection Region for Analysis of Variance Is in the Upper