ANOVA under unequal error variances

By taking a generalized approach to findingp values, the classical F-test of the one-way ANOVA is extended to the case of unequal error variances. The relationship of this result to other solutions in the literature is discussed. An exact test for comparing variances of a number of populations is also developed. Scheff6's procedure of multiple comparison is extended to the case of unequal variances. The possibility and the approach that one can take to extend the results to simple designs involving more than one factor are briefly discussed.