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D-Optimal Designs with Hadamard Matrix

✍ Scribed by K.L. Chow; K.S. Lii


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
393 KB
Volume
179
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


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Hadamard matrices of order n with maximum excess o(n) are constructed for n = 40, 44, 48, 52, 80, 84. The results are: o(40)= 244, o(44)= 280, o(48)= 324, o(52)= 364, o(80)= 704, 0(84) = 756. A table is presented listing the known values of o(n) 0< n ~< 100 and the corresponding Hadamard matrices ar

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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.

Some Hadamard designs with parameters (7
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## Abstract Up to isomorphisms there are precisely eight symmetric designs with parameters (71, 35, 17) admitting a faithful action of a Frobenius group of order 21 in such a way that an element of order 3 fixes precisely 11 points. Five of these designs have 84 and three have 420 as the order of t

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✍ Hiroki Tamura πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 128 KB

## 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

Marginally restricted sequential D-optim
✍ JesΓΊs LΓ³pez-Fidalgo; Raul MartΓ­n-MartΓ­n; Douglas P. Wiens πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 French βš– 167 KB