Discuss why an equivariance test for the homogeneity of variances in the two populations should precede when the standard deviation (σ) of the two populations is unknown.

Question

Discuss why an equivariance test for the homogeneity of variances in the two populations should precede when the standard deviation (σ) of the two populations is unknown.

Answer 1

test for the homogeneity of variances is necessary for you to decide whether you can assume the population variances are equal. if you can you can use pooled variance for 2 sample test, otherwise you have to use individual variances in computation of test statistic.