Optimal designs for two-parameter nonlinear models with application to survival models
Journal
Statistica Sinica
Date Issued
January 1, 2014
Abstract
Censoring occurs in many industrial or biomedical 'time to event' experiments. Finding efficient designs for such experiments can be problematic since the statistical models involved are usually nonlinear, making the optimal choice of design parameter dependent. We provide analytical characterisations of locally D- and c-optimal designs for a class of models, thus reducing the numerical effort for design search substantially. We also investigate standadised maximin D-and c-optimal designs. We illustrate our results using the natural proportional hazards parameterisation of the exponential regression model. Different censoring mechanisms are incorporated and the robustness of designs against parameter misspecification is assessed.
Affiliation
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Name
optimal designs.pdf
Size
1.96 MB
Format
Adobe PDF
Checksum (MD5)
2f6b6d434549a2b43358ff403ddf56bb
Scopus Subject Areas
Statistics and Probability
•
Statistics, Probability and Uncertainty

