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Optimal designs for generalized non-linear models with application to second-harmonic generation experiments

Record type: Article

The design of experiments for generalized non-linear models is investigated and applied to an optical process for characterizing interfaces which is widely used in the physical and natural sciences. Design strategies for overcoming the dependence of a D-optimal design on the values of the model parameters are explored, including the use of Bayesian designs. Designs for the accurate estimation of model parameters are presented and compared, as are designs for the estimation of a set of ratios of parameters which is of particular importance in the motivating example. The effectiveness of various design methods is studied, and the benefits of well-designed experiments are demonstrated

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Citation

Biedermann, Stefanie and Woods, David C. (2011) Optimal designs for generalized non-linear models with application to second-harmonic generation experiments Journal of the Royal Statistical Society. Series C: Applied Statistics, 60, (2), pp. 281-299. (doi:10.1111/j.1467-9876.2010.00749.x).

More information

Published date: March 2011
Keywords: bayesian design, cluster design, d-optimality, laser–surface chemistry, non-linear regression, poisson regression
Organisations: Statistics, Southampton Statistical Research Inst.

Identifiers

Local EPrints ID: 180917
URI: http://eprints.soton.ac.uk/id/eprint/180917
ISSN: 0035-9254
PURE UUID: 07e153d1-555e-48ae-b2a6-3b7bb85ed82a

Catalogue record

Date deposited: 14 Apr 2011 14:49
Last modified: 18 Jul 2017 12:00

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