UNSPECIFIED (1998) Lattices and dual lattices in optimal experimental design for Fourier models. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 28 (3). pp. 283-296. ISSN 0167-9473

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Abstract

Number-theoretic lattices, used in integration theory, are studied from the viewpoint of the design and analysis of experiments. For certain Fourier regression models lattices are optimal as experimental designs because they produce orthogonal information matrices. When the Fourier model is restricted, that is a special subset of the full factorial (cross-spectral) model is used, there is a difficult inversion problem to find generators for an optimal design for the given model. Asymptotic results are derived for certain models as the dimension of the space goes to infinity. These can be thought of as a complexity theory connecting designs and models or as special type of Nyquist sampling theory. (C) 1998 Elsevier Science B.V. All rights reserved.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QA Mathematics
Journal or Publication Title:	COMPUTATIONAL STATISTICS & DATA ANALYSIS
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0167-9473
Date:	4 September 1998
Volume:	28
Number:	3
Number of Pages:	14
Page Range:	pp. 283-296
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/15347

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