Approximate critical values with error bounds for bartlett's test of homogeneity of variances for unequal sample sizes

Abstract

Errors are given for the departure of Bartlett's exact distri-bution for the test of homogeneity of variances for unequal sample sizes from that of equal sample sizes. Let v_j + 1 denote the size of the j_th sample and define a departure number where Then these errors may be expressed as functions of only three parameters: the number of populations k, the depart-ure number δ and . Accurate critical values of the test, in the general case with unequal sample sizes, are given when these errors are small.

Keywords:

• Bartlett's test of homogeneity of variances
• tests of hypotheses