If the null hypothesis is true, we would expect the F in the analysis of variance to be
A) approximately 0.
B) somewhere around 1.
C) at least 10.
D) the value of F is not dependent on the status of the null hypothesis.

Question

Quizplus · Accepted Answer

The F-statistic in an analysis of variance (ANOVA) measures the ratio of the variance between groups to the variance within groups. If the null hypothesis is true (i.e., there are no differences between the groups), we would expect this ratio to be close to 1, indicating that the variance between groups is similar to the variance within groups.

If the Null Hypothesis Is True, We Would Expect the F