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Model robust designs for survival trials

Journal
Computational Statistics and Data Analysis
Date Issued
September 1, 2017
Author(s)
Konstantinou, Maria  
Biedermann, Stefanie  
Kimber, Alan  
DOI
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.
Subjects

c-optimality

D-optimality

Minimax optimal desig...

Proportional hazards ...

Type-I censoring

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model robust designs.pdf

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