Optimal designs for a multi-response Emax model and efficient parameter estimation
(English)Manuscript (preprint) (Other academic)
The aim of dose finding studies is sometimes to estimate parameters in a fitted model. The precision of the parameter estimates should be as high as possible. This can be obtained by increasing the number of subjects in the study, N, choosing a good and efficient estimation approach and by designing the dose finding study in an optimal way. Increasing the number of subjects is not always feasible because of increasing cost, time limitations etc. In this paper we assume fixed N and consider estimation approaches and study designs for multi-response dose finding studies. We work with diabetes dose response data and compare a system estimation approach that fits a multi-response Emax model to the data to equation-by-equation estimation that fits uni-response Emax models to the data. We then derive some optimal designs for estimating the parameters in the multi- and uni-response Emax model and study the efficiency of these designs.
multi-response Emax model, optimal design, system estimation, dose-response studies
Probability Theory and Statistics
Research subject Statistics
IdentifiersURN: urn:nbn:se:su:diva-102865OAI: oai:DiVA.org:su-102865DiVA: diva2:713711