In the case of highly different sample sizes across groups,the robustness of the F test to non-normality and variance heterogeneity often _____,sometimes considerably so.
A)diminishes
B)increases
C)fluctuates
D)none of these

Question

Quizplus · Accepted Answer

The F test assumes equal variance across groups and normality of the data. When the sample sizes are highly different across groups, the test becomes less robust to violations of these assumptions, particularly to non-normality and variance heterogeneity. Therefore, the robustness of the F test diminishes in this case.

In the Case of Highly Different Sample Sizes Across Groups,the