Bartlett’s Test

The assumption of equal variances across treatment groups may cause serious problems if violated in one-way analysis of variance models. A common test for homogeneity of variances is Bartlett’s test. This statistical test checks whether the variances from different groups (or samples) are equal.

Suppose that there are r treatment groups and we want to test


In this context, we assume that we have independently chosen random samples of size ni,i=1,,r from each of the r independent populations. Let Xij~N(μi,σi2) be independently distributed with a normal distribution having mean μi and variance σi2 for each j=1,,ni and each i=1,,r. Let X¯i be the sample mean and Si2 the sample variance of the sample taken from the ith group or population. The uniformly most powerful unbiased parametric test ...

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