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Calculation of critical values for Dunnett and Tamhane's step-up multiple test procedure

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  • Kwong, K. S.
  • Liu, W.

Abstract

Dunnett and Tamhane (1992, J. Amer. Statist. Assoc. 87, 162-170; 1993, Statist. Probab. Lett. 16 (1), 55-58; 1995, Biometrics 51, 217-227) proposed a step-up testing procedure for comparing k treatments with a control and showed that it is often more powerful than its competitors, the single-step (Dunnett, 1955, J. Amer. Statist. Assoc. 50, 1096-1121) and the step-down (Miller, 1966, Simultaneous Statistical Inference, McGraw-Hill, New York; Dunnett and Tamhane, 1991, Statist Med. 10 (6), 939-947) procedures. However, the applications of the step-up procedure may be hindered by the lengthy time for computing the required critical values, especially when the design of experiment is unbalanced or the value of k is large. In this paper we propose some more efficient approaches to the computation of the critical values to make the step-up test more applicable.

Suggested Citation

  • Kwong, K. S. & Liu, W., 2000. "Calculation of critical values for Dunnett and Tamhane's step-up multiple test procedure," Statistics & Probability Letters, Elsevier, vol. 49(4), pages 411-416, October.
    • Handle: RePEc:eee:stapro:v:49:y:2000:i:4:p:411-416
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    References listed on IDEAS

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    1. Dunnett, Charles W. & Tamhane, Ajit C., 1993. "Power comparisons of some step-up multiple test procedures," Statistics & Probability Letters, Elsevier, vol. 16(1), pages 55-58, January.
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    Cited by:

    1. Kwong, Koon-Shing & Chan, Yiu-Man, 2008. "On the evaluation of the joint distribution of order statistics," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5091-5099, August.
    2. Nadarajah Saralees, 2008. "Computing percentage points of the largest among Student's t random variables," Monte Carlo Methods and Applications, De Gruyter, vol. 14(1), pages 75-84, January.
    3. Kwong, Koon Shing & Cheung, Siu Hung, 2012. "Optimal design for p-value consistent step-up procedures for multiple comparisons with a control in direction-mixed families," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4157-4164.
    4. Koon Shing Kwong & Siu Hung Cheung & Wai Sum Chan, 2004. "Multiple Testing to Establish Superiority/Equivalence of a New Treatment Compared with k Standard Treatments for Unbalanced Designs," Biometrics, The International Biometric Society, vol. 60(2), pages 491-498, June.

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