Choose the statement that is true about the F-statistic. Choose (d) if all statements are true.
A)The F-statistic compares the variation between the groups to the variation within the groups.
B)Large values of the F-statistic support the null hypothesis that there is no difference among the group means.
C)The F-statistic is large when the variation within the groups is large compared to the variation between the groups.
D)All of the above statements are true.

Question

Quizplus · Accepted Answer

The F-statistic is used in analysis of variance (ANOVA) to compare the variance between groups to the variance within groups. A large F-statistic, contrary to statement B, suggests the group means are significantly different, thus not supporting the null hypothesis. Statement C is incorrect because a large F-statistic actually indicates that the variation between the groups is large compared to the variation within the groups.

Choose the Statement That Is True About the F-Statistic