Use of the experimentwise error rate in simultaneous tests of main effects in two-way disproportionate ANOVA without interaction

1984 
Abstract It is argued that the probability of committing at least one type I error should be reported when testing the main effects simultaneously in a two-way disproportionate ANOVA without interaction. The circumstances where the two F -statistics depart appreciably from statistical independence are characterized, and it is pointed out that procedures now exist for evaluating the bivariate F -probabilities when required. The augmented analysis is illustrated with a numerical example and an extension is offered for assymmetric BIBD's with random block effects.
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