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 be independently distributed with a normal distribution having mean μi and variance σ2i for each j = 1, …, ni and each i = 1, …, r. Let be the sample mean and S2i the sample variance of the sample taken ...

  • Loading...
locked icon

Sign in to access this content

Get a 30 day FREE TRIAL

  • Watch videos from a variety of sources bringing classroom topics to life
  • Read modern, diverse business cases
  • Explore hundreds of books and reference titles