Optimal designs for multivariable spline models

dc.contributor.author	Biedermann, Stefanie	de
dc.contributor.author	Dette, Holger	de
dc.contributor.author	Woods, David C.	de
dc.date.accessioned	2009-10-29T10:25:46Z
dc.date.available	2009-10-29T10:25:46Z
dc.date.issued	2009-09-24	de
dc.description.abstract	In this paper, we investigate optimal designs for multivariate additive spline regression models. We assume that the knot locations are unknown, so must be estimated from the data. In this situation, the Fisher information for the full parameter vector depends on the unknown knot locations, resulting in a non-linear design problem. We show that locally, Bayesian and maximin D-optimal designs can be found as the products of the optimal designs in one dimension. A similar result is proven for Q-optimality in the class of all product designs.	en
dc.identifier.uri	http://hdl.handle.net/2003/26498
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-812
dc.language.iso	en	de
dc.relation.ispartofseries	Discussion Paper / SFB 823; 26/2009	de
dc.subject	additive spline model	en
dc.subject	Bayesian D-optimality	en
dc.subject	maximin D-optimality	en
dc.subject	product designs	en
dc.subject	Q-optimality	en
dc.subject.ddc	310	de
dc.subject.ddc	330	de
dc.subject.ddc	620	de
dc.title	Optimal designs for multivariable spline models	en
dc.type	Text	de
dc.type.publicationtype	report	de
dcterms.accessRights	open access

Files

Now showing 1 - 1 of 1