Two stage multiple comparison procedures based on the studentized range |
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Authors: | Yosef Hochberg Peter A. Lachenbruch |
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Affiliation: | 1. Statistics Department , Tel-Aviv University , Ramat-Aviv, Israel;2. Biostatistics Department , University of North Carolina , Chapel Hill, N.C. |
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Abstract: | Stein’s (1945) two sample approach and Tukey’s T-Method of multiple comparisons (see e.g. Miller, 1966, Ch. 2) are combined to obtain fixed width simultaneous confidence intervals and simultaneous test procedures of predetermined Type I and Type II error levels, for all contrasts, in a one way layout. The necessary constants for implementing the two stage procedure are obtained under a least favorable configuration of the parameters. This provides the required protection of the null and alternative hypotheses under any configuration of parameters. A table is provided for some selected designs and error levels and an example is given to illustrate certain features of the new procedure. |
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Keywords: | two sample procedure range tests Type I and Type II error rates least favorable configuration |
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