Locally D-optimal designs for multistage models and heteroscedastic polynomial regression models

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• 作者：Zhide Fang ; Douglas P. Wiens and Zheyang Wu
• 关键词：Bioassay ; D-optimality ; Dose response ; Optimal design
• 刊名：Journal of Statistical Planning and Inference
• 出版年：2006
• 出版时间：1 November 2006
• 年：2006
• 卷：136
• 期：11
• 页码：4059-4070
• 全文大小：165 K

文摘

We consider the construction of locally D-optimal designs for a nonlinear, multistage model in which one observes a binary response variable with expected value P(x;θ)=H(θ₀+θ₁x++θ_kx^k). Here H is any twice differentiable distribution function. Our results apply as well to heteroscedastic polynomial regression models, under mild conditions on the efficiency function.