Sequential Tests for Variance Ratios and Components of Variance

Abstract

A general sequential sampling method is given for problems of comparing the variances of two or more normal populations in terms of ratios of variances. Sequential tests are given for a hypothesis specifying the ratio of two variances, including tests for variance components in the analysis of variance (Model II). Such tests provide savings in average required numbers of observations, relative to standard F tests, comparable to those typical of sequential probability ratio tests.