Abstract
Abstract Procedures for multiple comparisons among treatment means, in analysis of covariance with a random concomitant, are considered. A Tukey-Kramer (TK)-type procedure is introduced for a conditional analysis and is compared with Thigpen and Paulson's (1974) unconditional procedure. It is first established (by simulation) that the TK procedure controls the unconditional familywise error rate at the nominal level set for the conditional procedure. In the second part of this work, the confidence interval lengths obtained by the two procedures are compared. It is found that the expected ratio of the confidence interval length obtained by the conditional method to that obtained by the unconditional method is generally less than 1. Moreover, the probability that the length of a TK interval will be larger than that of the Thigpen and Paulson procedure is (roughly) between .2 and .3.
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