Abstract
In a two-way classification with one observation per cell, heterogeneity of variances may occur as considered by Box [1954], Graybill [1954], Hartley [1950a], and Russell and Bradley [1958]. We are interested in testing whether the column variances are all equal while the row variances are assumed to be the same. Russell and Bradley [1958] have considered this problem and derived the likelihood ratio test when there are three columns. The test was used in checking the assumption of homogeneous error variances in randomized block designs under certain conditions and in comparing the precisions of analytical methods in quantitative experimentation as well as the consistencies of judges in subjective experimentation. Hartley [1950a] derived a test based on the range and gave an approximate distribution of the test statistic. We consider the following model:
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