Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6868629 | Computational Statistics & Data Analysis | 2018 | 12 Pages |
Abstract
Personalized medicine is becoming more and more important nowadays since the efficacy of a certain medicine vary among different patients. This requires to combine the effects of the prognostic factors or covariates along with different dosages when planning a dose-response experiment. Statistically, this corresponds to the construction of optimal designs for estimating dose-response curves in the presence of covariates. Some characteristics of the optimal designs are derived in order to search such optimal designs efficiently, and an equivalence theorem of the locally Ïs-optimal designs is established accordingly. Computational issues are also studied and presented with theoretical backups. As applications of the above theories, the locally optimal designs are searched out in several situations. Some simulations reveal that the searched locally optimal designs are robust to the moderate misspecification of the prespecified parameters.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Jun Yu, Xiangshun Kong, Mingyao Ai, Kwok Leung Tsui,