JSM 2005 - Toronto

Abstract #303004

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 30
Type: Contributed
Date/Time: Sunday, August 7, 2005 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #303004
Title: Power of Pairwise Comparisons in the Equal Variance and Unequal Sample Size Case
Author(s): Philip Ramsey*+ and Patricia P. Ramsey
Companies: Queens College, CUNY and Fordham University
Address: 533 Munroe Ave., Sleepy Hollow, NY, 10591, United States
Keywords: Multiple Comparisons ; Tukey-Kramer ; Peritz ; All-Pairs Power ; Any-Pair Power
Abstract:

A Monte Carlo simulation was conducted to compare six, pairwise multiple comparison procedures. The number of means varied from four to six, and the sample size ratio varied from one to 60. Procedures were evaluated on the basis of Type I errors, any-pair power, and all-pairs power. Five procedures were shown to be conservative, while the sixth provided adequate control of Type I errors only for restricted values of sample size ratios. No procedure was found to be uniformly most powerful. The Tukey-Kramer procedure was found to provide good any-pair power, provided it is applied without requiring a significant overall F test. The Hayter-Fisher modification of the Tukey-Kramer was found to provide very good any-pair power in most cases and to be uniformly more powerful than the Tukey-Kramer when a significant overall F test is required. A partition-based version of Peritz's method usually provided the greatest all-pairs power.


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Revised March 2005