Stepwise procedures for the identification of minimum effective dose with unknown variances
type: Item
instance of: scholarly article
title: Stepwise procedures for the identification of minimum effective dose with unknown variances
zbMATH Open document ID: 1010.62105
DOI: 10.1016/S0167-7152(01)00197-3
author: Jian Tao
author: Wei Gao
author: Ning-Zhong Shi
author: Jianhua Guo
published in: Statistics \& Probability Letters
publication date: 2002-09-05T00:00:00Z
review text: \textit{J.C. Hsu} and \textit{R.L. Berger} [J. Am. Stat. Assoc. 50, 468-481 (1999)] 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. 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 \textit{B.L. Welch}'s procedure [Biometrika 29, 350-362 (1938; Zbl 0018.22602)].
Mathematics Subject Classification ID: 62P10
Mathematics Subject Classification ID: 62F25
zbMATH DE Number: 1796722
zbMATH Keywords: dose-response studies
zbMATH Keywords: heteroscedasticity
zbMATH Keywords: minimum effective does
zbMATH Keywords: two-stage sampling
MaRDI profile type: Publication
cites work: Exact Analysis of Variance with Unequal Variances: Test Procedures and Tables
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description: scientific article; zbMATH DE number 1796722