What are the correct assumptions for the two-way ANOVA procedure?
A) The sample sizes are large (n≥ 30), and all of the (a) × (b) populations under consideration are normal.
B) Samples are selected randomly and independently from (a) × (b) population distributions, which are all normal and have equal variance.
C) Samples are random, from normal populations, and large (n ≥ 30).
D) Population variances are known to be equal, samples are random, and sample size is sufficiently large such that the population distribution is of no consequence.

Question

Quizplus · Accepted Answer

Two-way ANOVA assumes that samples are randomly and independently selected from each group, that the populations are normally distributed, and that all populations have equal variances. This is most closely matched by option B.

What Are the Correct Assumptions for the Two-Way ANOVA Procedure