Robustness of design in dose-response studies

• 成果类型: Article
• 署名作者: Li, Pengfei; Wiens, Douglas P.
• 署名单位: University of Alberta
• 刊物名称: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
• ISSN/ISSBN: 1369-7412
• DOI: 10.1111/j.1467-9868.2010.00763.x
• 发表日期: 2011
• 页码: 215-238
• 关键词: maximum-likelihood-estimation; generalized linear-models; ed50; Consistency; CHOICE; number

摘要

We construct experimental designs for dose-response studies. The designs are robust against possibly misspecified link functions; for this they minimize the maximum mean-squared error of the estimated dose required to attain a response in 100p% of the target population. Here p might be one particular value-p=0.5 corresponds to ED50-estimation-or it might range over an interval of values of interest. The maximum of the mean-squared error is evaluated over a Kolmogorov neighbourhood of the fitted link. Both the maximum and the minimum must be evaluated numerically; the former is carried out by quadratic programming and the latter by simulated annealing.