In a z test and a t test, when there is no difference between groups, the test statistic is equal to _____, but in the ANOVA, when there are no differences among groups, the test statistic is equal to _____.
A) 0; 1
B) 1; 0
C) 1; 2
D) 2; 1

Question

Quizplus · Accepted Answer

In both z tests and t tests, when there is no difference between the groups, the test statistic is equal to 0 because the numerator of the test statistic formula (which is the difference between the sample statistic and the null hypothesis value) is 0. In ANOVA, when there are no differences among groups, the test statistic (F-ratio) is equal to 1, because the ratio of the variance between groups to the variance within groups is 1, indicating that the variances are equal and there is no significant difference among group means.

In a Z Test and a T Test, When There