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Pairwise Multiple Comparison Procedures with Unequal N's and/or Variances: A Monte Carlo Study

Paul A. Games and John F. Howell
Journal of Educational Statistics
Vol. 1, No. 2 (Summer, 1976), pp. 113-125
DOI: 10.2307/1164979
Stable URL: http://www.jstor.org/stable/1164979
Page Count: 13
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Pairwise Multiple Comparison Procedures with Unequal N's and/or Variances: A Monte Carlo Study
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Abstract

Three different methods for testing all pairs of $\overline{{\rm Y}}_{\text{k}}-\overline{{\rm Y}}_{\text{k}}$, were contrasted under varying sample size (n) and variance conditions. With unequal n's of six and up, only the Behrens-Fisher statistic provided satisfactory control of both the familywise rate of Type I errors and Type I error rate on each contrast. Satisfactory control with unequal n's of three and up is dubious even with this statistic.

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