Calculation of Critical Values for Dunnett and Tamhane's Step-up Multiple Test Procedure

• Main Authors: KWONG, Koon Shing, LIU, Wei
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2000
• Subjects: Economics
• Online Access: https://ink.library.smu.edu.sg/soe_research/194
• Institution: Singapore Management University

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.