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Title
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Optimal design of experiments for non-linear response surface models
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Author
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Abstract
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| Many chemical and biological experiments involve multiple treatment factors and often it is convenient to fit a non-linear model in these factors. This non-linear model can be mechanistic, empirical or a hybrid of the two. Motivated by experiments in chemical engineering, we focus on D-optimal designs for multifactor non-linear response surfaces in general. To find and study optimal designs, we first implement conventional point and co-ordinate exchange algorithms. Next, we develop a novel multiphase optimization method to construct D-optimal designs with improved properties. The benefits of this method are demonstrated by application to two experiments involving non-linear regression models. The designs obtained are shown to be considerably more informative than designs obtained by using traditional design optimality algorithms. |
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Language
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English
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Source (journal)
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Journal of the Royal Statistical Society: series C: applied statistics. - London
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Publication
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London
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2019
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ISSN
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0035-9254
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DOI
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10.1111/RSSC.12313
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Volume/pages
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68
:3
(2019)
, p. 623-640
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ISI
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000459825100007
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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