Calculation of critical values of Dunnett and Tamhane's step-up multiple test procedure
Calculation of critical values of Dunnett and Tamhane's step-up multiple test procedure
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.
familywise error rate, multiple comparisons with a control, multivariate t distribution
411-416
Kwong, K.S.
683d82ce-eb04-4741-9464-0347618df363
Liu, W.
b64150aa-d935-4209-804d-24c1b97e024a
2000
Kwong, K.S.
683d82ce-eb04-4741-9464-0347618df363
Liu, W.
b64150aa-d935-4209-804d-24c1b97e024a
Kwong, K.S. and Liu, W.
(2000)
Calculation of critical values of Dunnett and Tamhane's step-up multiple test procedure.
Statistics and Probability Letters, 49 (4), .
(doi:10.1016/S0167-7152(00)00076-6).
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.
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Published date: 2000
Keywords:
familywise error rate, multiple comparisons with a control, multivariate t distribution
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Statistics
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Local EPrints ID: 30102
URI: http://eprints.soton.ac.uk/id/eprint/30102
ISSN: 0167-7152
PURE UUID: 20607815-b41d-4278-92c2-56a9f14d00a9
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Date deposited: 11 May 2006
Last modified: 16 Mar 2024 02:42
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K.S. Kwong
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