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All analysis of variance procedures require that the compared populations have equal variances.

a. True
b. False

User ANJYR
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Answer: b. False

All analysis of variance procedures assume that the compared populations have equal variances.

In all analysis of variance procedures, tests like F-test, Bartlett’s test, Levene’s test and Brown-Forsythe test are used to verify or test the assumption if k samples are from populations with equal variances.

When two or more populations have equal variances, we say that homoscedasticity or homogeneity of variances exist.

The F-test and Bartlett’s test yield best results only if the population is normally distributed. However, Levene’s test and Brown-Forsythe are known to yield good results for data that is not normally distributed.

User Wovano
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