Question

Would you carry out a post-hoc test for the following one-way ANOVA result? Why?

F(3, 30) = 2.23, p > .05

Answer 1

Solution:

Given:

F(3, 30) = 2.23, p > .05

Null and alternative hypothesis for one-way ANOVA are:

H0: All populations have equal means

Vs

H1: At least one of the population mean is different.

Decision Rule:
Reject null hypothesis H0, if P-value < 0.05 level of significance, otherwise we fail to reject H0

Since p-value > 0.05 level of significance, we fail to reject H0.

We do post-hoc test only if H0 is rejected otherwise we do not perform post-hoc test.

If we fail to reject H0, then it means all groups (populations) have equal means.

Thus there is no need to do post-hoc test.

Thus answer is: No