In a one-way ANOVA for a completely randomized design,all other things being held constant,as the sample treatment group means get closer to each other the probability of rejecting the null hypothesis decreases.

Question

Quizplus · Accepted Answer

As the sample treatment group means get closer to each other, the variation within groups relative to the variation between groups decreases, making it less likely to find statistically significant differences, thus decreasing the probability of rejecting the null hypothesis.

In a One-Way ANOVA for a Completely Randomized Design,all Other