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D-optimal designs and group divisible designs

✍ Scribed by Hiroki Tamura

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
128 KB
Volume
14
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

We obtain new conditions on the existence of a square matrix whose Gram matrix has a block structure with certain properties, including D‐optimal designs of order $n\equiv 3 \pmod 4$, and investigate relations to group divisible designs. We also find a matrix with large determinant for n = 39. Β© 2006 Wiley Periodicals, Inc. J Combin Designs 14: 451–462, 2006

πŸ“œ SIMILAR VOLUMES

Complex D-optimal designs
Complex D-optimal designs
✍ J.H.E. Cohn πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 225 KB

Bounds are obtained for 7(n), the maximum absolute value taken by the determinant of all n x n matrices whose entries are fourth roots of unity, and a connection between such matrices and real D-optimal designs demonstrated.

Incomplete group divisible designs with
Incomplete group divisible designs with block size four
✍ J. Wang πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 141 KB

## Abstract The object of this paper is the construction of incomplete group divisible designs (IGDDs) with block size four, group‐type (__g, h__)^__u__^ and index unity. It is shown that the necessary conditions for the existence of such an IGDD are also sufficient with three exceptions and six po