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 and the mean square within should be roughly equal in value.

Question

Quizplus · Accepted Answer

If the null hypothesis is true, then the differences between the group means and the overall mean are due to chance and not significant. Therefore, the mean square between groups (SSB/dfb) should be similar in value to the mean square within groups (SSW/dfw). If they are not roughly equal, it suggests that the null hypothesis may be false and that there may be a significant difference between the groups. A, B, and C are not necessarily true or indicative of the null hypothesis being true.

In the ANOVA Test,if the Null Hypothesis Is True,then