Which of the following is expected if the null hypothesis is true for an analysis of variance?
A) $S S _ { \text {between } }$ should be about the same size as SStotal
B) $S S _ { \text {between } }$ should be about the same size as $\text { SSwithin }$
C)MSbetween should be about the same size as MStotal
D)MSbetween should be about the same size as MSwithin

Question

Quizplus · Accepted Answer

When the null hypothesis is true in an analysis of variance (ANOVA), it implies that there are no significant differences between the group means. This leads to the expectation that the mean square between groups (MSbetween) should be about the same size as the mean square within groups (MSwithin), because the variability between groups would be similar to the variability within groups if there are no real differences among the groups.

Which of the Following Is Expected If the Null Hypothesis SSbetween S S _ { \text {between } }SSbetween ​

Which of the Following Is Expected If the Null Hypothesis $S S _ { \text {between } }$