All analysis of variance procedures require that the compared populations have equal variances. a. true b. false

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.

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