Optimal designs for generalized non-linear models with application to second-harmonic generation experiments
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), 281-299. (doi:10.1111/j.1467-9876.2010.00749.x).
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Description/Abstract
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
| Item Type: | Article |
|---|---|
| ISSNs: | 0035-9254 (print) 1467-9876 (electronic) |
| Keywords: | bayesian design, cluster design, d-optimality, laser–surface chemistry, non-linear regression, poisson regression |
| Subjects: | H Social Sciences > HA Statistics Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Statistics University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute |
| Item ID: | 180917 |
| Date Deposited: | 14 Apr 2011 14:49 |
| Last Modified: | 01 Jun 2011 07:59 |
| Contributors: | Biedermann, Stefanie (Author) Woods, David C. (Author) |
| Date: | March 2011 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/180917 |
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