Authors: Biedermann, Stefanie
Dette, Holger
Woods, David C.
Title: Optimal designs for multivariable spline models
Language (ISO): en
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.
Subject Headings: additive spline model
Bayesian D-optimality
maximin D-optimality
product designs
Q-optimality
URI: http://hdl.handle.net/2003/26498
http://dx.doi.org/10.17877/DE290R-812
Issue Date: 2009-09-24
Appears in Collections:Sonderforschungsbereich (SFB) 823

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