Question

What the assumption of homogeneity of variance? Also how can this assumption be made when we reject the null and infer that there are two different populations?

Answer 1

Homogeneity of variance means that the population variances of two or more samples are equal.

Some tests like t - Test for two means, ANOVA, require that the variances of different populations are equal. This can be obtained by using the following methods

i) F-test : The F test is Two Sample Testing of Variances can be used to test the population variances are equal to not.

For three or more variables, we have to use the following statistical tests for homogeneity of variances are commonly used:

ii) Levene’s test

ii) Fligner Killeen test

ii)   Bartlett’s test