Which of the following is not a condition required for a valid ANOVA F-test for a completely randomized experiment?
A)The sample chosen from each of the populations is sufficiently large.
B)The sampled populations all have distributions that are approximately normal.
C)The variances of all the sampled populations are equal.
D)The samples are chosen from each population in an independent manner.

Question

Quizplus · Accepted Answer

The requirement for a valid ANOVA F-test does not include the necessity for the sample size to be "sufficiently large." ANOVA can be applied with smaller sample sizes, provided the other conditions (normality, equal variances, and independence) are met. The central limit theorem helps mitigate the effect of small sample sizes, especially when the sample distributions are approximately normal, the variances are equal, and the samples are independent.

Which of the Following Is Not a Condition Required for a Valid