Which of the following is NOT a required assumption for the analysis of variance?
A) The random variable of interest for each population has a normal probability distribution.
B) The variance associated with the random variable must be the same for each population.
C) At least two populations are under consideration.
D) Populations have equal means.

Question

Quizplus · Accepted Answer

The assumption that populations have equal means is not required for analysis of variance. In fact, the whole purpose of the analysis is to test whether the means of the populations are significantly different from each other. However, the other assumptions listed (normality of the random variable, equal variances, and at least two populations) are necessary for valid analysis of variance.

Which of the Following Is NOT a Required Assumption for the Analysis