With the ANOVA test, the ___________ the difference between categories, relative to the differences within, the ________ likely that the null hypothesis will be rejected.
A) smaller, more
B) greater, more
C) smaller, less
D) b & c are both correct

Question

Quizplus · Accepted Answer

The ANOVA test looks at the variance between groups compared to the variance within groups. The greater the difference between categories, relative to the differences within, the more likely it is that the null hypothesis will be rejected. So, a larger F-value (which represents the ratio of between-group variance to within-group variance) indicates a greater difference between groups and a higher likelihood of rejecting the null hypothesis. Therefore, choice B is correct.

With the ANOVA Test, the ___________ the Difference Between Categories