On D-optimality of exact linear regression designs with minimum support
type: Item
instance of: scholarly article
title: On D-optimality of exact linear regression designs with minimum support
zbMATH Open document ID: 0603.62081
DOI: 10.1016/0378-3758(86)90097-2
published in: Journal of Statistical Planning and Inference
publication date: 1987-01-01T00:00:00Z
review text: For some classical regression models, a sufficient condition for D- optimal exact designs \(\xi^*_ n\) with a given total number n of observations from D-optimal approximate design \(\xi^*\) with minimum support is obtained by rounding off its weights to integral multiples of 1/n. For some specific models, a necessary condition for D-optimality of a given exact design is also proved. The conditions are expressed in terms of information matrices and minimum support points. D-optimal exact designs for five specific polynomial regressions are also dealt with. The author gives three examples as well. One interesting open problem is left for further investigation.
Mathematics Subject Classification ID: 62K05
zbMATH DE Number: 3974110
zbMATH Keywords: simplex
zbMATH Keywords: equivalence theorem
zbMATH Keywords: Shalaevskij conjecture
zbMATH Keywords: approximate and exact design theory
zbMATH Keywords: sufficient condition
zbMATH Keywords: minimum support
zbMATH Keywords: D-optimality
zbMATH Keywords: information matrices
zbMATH Keywords: polynomial regressions
author: Norbert Gaffke
reviewed by: B. L. Agarwal
MaRDI profile type: Publication
full work available at URL: 0378-3758(86)90097-2
OpenAlex ID: W1996830036
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description: scientific article; zbMATH DE number 3974110