How, in general, is the requirement of equal population variances to allow the use of analysis of variancemethod verified?
A) The largest sample standard deviation must be less than or equal to twice the smallest sample standard deviation.
B) All three sample standard deviations must be equal.
C) The largest sample standard deviation is equal to the sum of the other standard deviations.
D) The largest sample standard deviation is less than or equal to the variance of the smallest sample.

Question

Quizplus · Accepted Answer

The requirement of equal population variances (homogeneity of variances) for the use of analysis of variance (ANOVA) is often verified using the rule of thumb that the largest sample standard deviation should be no more than twice the smallest sample standard deviation. This is a practical guideline rather than a strict statistical test, but it helps to ensure that the assumption of equal variances is not grossly violated.

How, in General, Is the Requirement of Equal Population Variances