逻辑模型的极小极大D - 最优设计

Minimax D-optimal designs for the logistic model.

作者信息

King J, Wong W K

机构信息

Department of Biostatistics, University of California at Los Angeles, Los Angeles, California 90095-1772, USA.

出版信息

Biometrics. 2000 Dec;56(4):1263-7. doi: 10.1111/j.0006-341x.2000.01263.x.

DOI:10.1111/j.0006-341x.2000.01263.x

PMID:11129489

Abstract

We propose an algorithm for constructing minimax D-optimal designs for the logistic model when only the ranges of the values for both parameters are assumed known. Properties of these designs are studied and compared with optimal Bayesian designs and Sitter's (1992, Biometrics, 48, 1145-1155) minimax D-optimal kk-designs. Examples of minimax D-optimal designs are presented for the logistic and power logistic models, including a dose-response design for rheumatoid arthritis patients.

摘要

我们提出了一种算法，用于在仅假设两个参数的值域已知的情况下构建逻辑模型的极小极大D - 最优设计。研究了这些设计的性质，并与最优贝叶斯设计和西特（1992年，《生物统计学》，48卷，1145 - 1155页）的极小极大D - 最优kk设计进行了比较。给出了逻辑模型和幂逻辑模型的极小极大D - 最优设计示例，包括一个针对类风湿性关节炎患者的剂量反应设计。