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- Title
Designing experiments for nonlinear models—an introduction.
- Authors
Johnson, Rachel T.; Montgomery, Douglas C.
- Abstract
We illustrate the construction of Bayesian D-optimal designs for nonlinear models and compare the relative efficiency of standard designs with these designs for several models and prior distributions on the parameters. Through a relative efficiency analysis, we show that standard designs can perform well in situations where the nonlinear model is intrinsically linear. However, if the model is nonlinear and its expectation function cannot be linearized by simple transformations, the nonlinear optimal design is considerably more efficient than the standard design. Published in 2009 by John Wiley & Sons, Ltd.
- Subjects
OPTIMAL designs (Statistics); NONLINEAR statistical models; BAYESIAN analysis; MATHEMATICAL transformations; FACTORIAL experiment designs
- Publication
Quality & Reliability Engineering International, 2010, Vol 26, Issue 5, p431
- ISSN
0748-8017
- Publication type
Article
- DOI
10.1002/qre.1063