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Konstantinou, Maria; Biedermann, Stefanie and Kimber, Alan
(2017).
DOI: https://doi.org/10.1016/j.csda.2016.10.013
Abstract
The exponential-based proportional hazards model is often assumed in time-to-event experiments but may only approximately hold. Deviations in different neighbourhoods of this model are considered that include other widely used parametric proportional hazards models and the data are assumed to be subject to censoring. Minimax designs are then found explicitly, based on criteria corresponding to classical c- and D-optimality. Analytical characterisations of optimal designs are provided which, unlike optimal designs for related problems in the literature, have finite support and thus avoid the issues of implementing a density-based design in practice. Finally, the proposed designs are compared with the balanced design that is traditionally used in practice, and recommendations for practitioners are given.
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About
- Item ORO ID
- 72261
- Item Type
- Journal Item
- ISSN
- 0167-9473
- Keywords
- Proportional hazards models; minimax optimal designs; D-optimality; c-optimality; Type-I censoring
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2016 Elsevier B.V.
- Related URLs
- Depositing User
- Stefanie Biedermann