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2013-20

Optimal Designs for Censored Data

by Schmidt, D; Schwabe, R..


Series: 2013-20, Preprints

MSC:
62K05 Optimal designs
62N01 Censored data models

Abstract:
In time to event experiments the individuals under study are observed to experience some event of interest. If this event is not observed until the end of the experiment, censoring occurs, which is a common feature in such studies. We consider the proportional hazards model with type I and random censoring and determine locally $D$-and $c$-optimal designs for a larger class of nonlinear models with two parameters, where the experimental conditions can be selected from a finite discrete design region as is often the case in practice. Additionally, we compute $D$-optimal desgins for a three-parameter model on a continuous design regio.

Keywords:
censored data, D-optimality, c-optimality, proportional hazards model, discrete design region