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Stepwise procedures for the identification of minimum effective dose with unknown variances

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  • Tao, Jian
  • Shi, Ning-Zhong
  • Guo, Jianhua
  • Gao, Wei
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Abstract

Hsu and Berger (J. Amer. Statist. Assoc. 50 (1999) 468) proposed a stepwise confidence interval procedure for identifying the minimum effective dose in dose-response studies under homoscedasticity. In practice, homogeneity of variance is often in doubt. In this paper, we extend Hsu and Berger's stepwise confidence interval procedure to the case of heteroscedasticity (i.e., inequality of variances across dosages). In addition, we show that the new procedure can properly control the family-wise error rate. We illustrate our procedure with a real example. Finally, we investigate the performance of our procedure and a step-down test procedure based on Welch's approximate t-test via a simulation study. Our procedure is shown, empirically, to perform similar to Welch's procedure.

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Bibliographic Info

Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 57 (2002)
Issue (Month): 2 (April)
Pages: 121-131

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Handle: RePEc:eee:stapro:v:57:y:2002:i:2:p:121-131

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Keywords: Dose-response studies Heteroscedasticity Minimum effective dose Two-stage sampling;

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  1. Shi, Ning-Zhong & Jiang, Hua, 1998. "Maximum Likelihood Estimation of Isotonic Normal Means with Unknown Variances," Journal of Multivariate Analysis, Elsevier, vol. 64(2), pages 183-195, February.
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