Which of the following is not an assumption required for a one-way analysis of variance?
A)The p populations of values of the response variable associated with the IV groups have equal variances.
B)The samples of experimental units associated with the groups are randomly selected.
C)The samples of experimental units associated with the groups are independent.
D)The number of sampled observations must be equal for all p treatments.
E)The p populations of values of the response variable within each group all have normal distributions.

Question

Quizplus · Accepted Answer

The assumption of equal sample sizes for all groups is not required for a one-way analysis of variance. However, it is recommended if possible as it can increase the power of the test. A one-way ANOVA assumes that the populations of values of the response variable associated with the IV groups have equal variances, the samples are randomly selected, the samples are independent, and the populations of values within each group have normal distributions.

Which of the Following Is Not an Assumption Required for a One-Way