In a single-factor analysis of variance, MST is the mean square for treatments and MSE is the mean square for error. The null hypothesis of equal population means is likely false if:
A) MST is much larger than MSE.
B) MST is much smaller than MSE.
C) MST is equal to MSE.
D) MST is zero.

Question

Quizplus · Accepted Answer

When MST is much larger than MSE, it suggests that the variation between groups (treatments) is greater than the variation within groups (error). This makes it more likely that the difference in means between groups is due to a real effect, rather than just due to random chance. Therefore, it is more likely that the null hypothesis of equal population means is false.

In a Single-Factor Analysis of Variance, MST Is the Mean