SAS/IML Program for Computing Probabilities Related to Maximum Contrast Methods

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  • Nishiyama Hiroshi
    Biometrics & Data Management, Aventis Pharma Ltd. Graduate School of Engineering, Tokyo University of Science
  • Yanagihara Hirokazu
    Inst. of Policy & Planning Sciences, University of Tsukuba
  • Yoshimura Isao
    Graduate School of Engineering, Tokyo University of Science

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  • 最大対比法を活用するための SAS/IMLプログラム
  • サイダイ タイヒホウ オ カツヨウ スル タメ ノ SAS IML プログラム

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Description

Many maximum contrast methods have been used to evaluate the dose-response relationship in clinical trials and in toxicological trials. However, the calculation method for p-value and power of such methods in practical form have not been proposed due to the complex property of integration in the multivariate t-distribution with singular correlation matrix. Addressing this issue, this paper presents SAS/IML programs for computing p-value, power and sample size necessary in the application of maximum contrast methods. It was confirmed that the speed of calculation in the proposed programs was far superior to the naive Monte-Carlo simulation keeping the precision as well.

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