Restrictions and limitations for both one-way ANOVA and factorial ANOVA include
A) the population variances of all the populations sampled are equal
B) the number of observations in each treatment must be equal
C) the population means of all the populations sampled are equal
D) all of the other alternatives is correct.

Question

Quizplus · Accepted Answer

One of the key assumptions of both one-way ANOVA and factorial ANOVA is the homogeneity of variances, which means that the population variances of all the groups being compared should be equal. This assumption is crucial for the validity of the ANOVA F-test. The number of observations in each group does not have to be equal, and the assumption is certainly not that the population means are equal, as ANOVA is often used to test for differences in means.

Restrictions and Limitations for Both One-Way ANOVA and Factorial ANOVA