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Critical point computations for one-sided and two-sided pairwise comparisons of three treatment means

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  • Hayter, A.J.
  • Kim, Jongphil
  • Liu, W.

Abstract

This paper addresses the problem of critical point calculations for pairwise comparisons of three normal means. One-sided and two-sided pairwise comparisons are standard multiple comparisons procedures, and while tables of critical points exist for balanced situations with equal sample sizes, only limited tables of critical points exist for unbalanced cases. A new algorithm is developed in this paper using elementary methods which allows the critical points to be found in all situations using only a one-dimensional numerical integration. Programs have been developed to implement the algorithm which will allow experimenters to easily find the required critical points and p-values.

Suggested Citation

  • Hayter, A.J. & Kim, Jongphil & Liu, W., 2008. "Critical point computations for one-sided and two-sided pairwise comparisons of three treatment means," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 463-470, December.
    • Handle: RePEc:eee:csdana:v:53:y:2008:i:2:p:463-470
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    References listed on IDEAS

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    1. Hayter, Anthony J., 1992. "Multiple comparisons of three ordered normal means for unbalanced models," Computational Statistics & Data Analysis, Elsevier, vol. 13(2), pages 153-162, March.
    2. Hayter, A. J. & Liu, W., 1996. "Exact calculations for the one-sided studentized range test for testing against a simple ordered alternative," Computational Statistics & Data Analysis, Elsevier, vol. 22(1), pages 17-25, June.
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    Cited by:

    1. Kim, Jongphil, 2013. "The computation of bivariate normal and t probabilities, with application to comparisons of three normal means," Computational Statistics & Data Analysis, Elsevier, vol. 58(C), pages 177-186.

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