In the ANOVA test, if the null hypothesis is true, then
A) SSB should be at least twice as much as dfb
B) SSW should be much greater than SSB
C) the combined dfb and dfw should be much greater than the SST
D) the mean square between (MSB) and the mean square within (MSW) should be roughly equal in value

Question

Quizplus · Accepted Answer

If the null hypothesis is true, this means that there is no significant difference between the groups being compared. Therefore, both the MSW and MSB should be roughly equal in value. If one is much larger than the other, it suggests that there is a significant difference between the groups, which would lead to rejecting the null hypothesis.

In the ANOVA Test, If the Null Hypothesis Is True