Results 1 
4 of
4
The Decomposability of Simple Orthogonal Arrays on 3 Symbols Having T + 1 Rows and Strength T
"... It is wellknown that all orthogonal arrays of the form OA(N; t + 1; 2; t) are decomposable into orthogonal arrays of strength t and index 1. While the same is not generally true for arrays on 3 symbols, we will show that all simple orthogonal arrays of the form OA(N; t + 1; 3; t) are also decomposa ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
It is wellknown that all orthogonal arrays of the form OA(N; t + 1; 2; t) are decomposable into orthogonal arrays of strength t and index 1. While the same is not generally true for arrays on 3 symbols, we will show that all simple orthogonal arrays of the form OA(N; t + 1; 3; t) are also decomposable into orthogonal arrays of strength t and index 1. Keywords: Orthogonal array, decomposable orthogonal array, simple orthogonal array, regular orthogonal array. 1 Introduction In this paper, we continue an ongoing discussion about the decomposability of orthogonal arrays having t + 1 factors. It is obvious that the juxtaposition of several such orthogonal arrays again yields an orthogonal array of the same strength. We will consider the reverse problem: When can an orthogonal array be partitioned into smaller arrays of the same strength? When s = 2, Seiden and Zemach [7] have shown that every orthogonal array of the form OA (N; t + 1; 2; t) is the juxtaposition of orthogonal arrays havi...
Invariance of generalized wordlength patterns
, 901
"... The generalized wordlength pattern (GWLP) introduced by Xu and Wu (2001) for an arbitrary fractional factorial design allows one to extend the use of the minimum aberration criterion to such designs. Ai and Zhang (2004) defined the Jcharacteristics of a design and showed that they uniquely determin ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
(Show Context)
The generalized wordlength pattern (GWLP) introduced by Xu and Wu (2001) for an arbitrary fractional factorial design allows one to extend the use of the minimum aberration criterion to such designs. Ai and Zhang (2004) defined the Jcharacteristics of a design and showed that they uniquely determine the design. While both the GWLP and the Jcharacteristics require indexing the levels of each factor by a cyclic group, we see that the definitions carry over with appropriate changes if instead one uses an arbitrary abelian group. This means that the original definitions rest on an arbitrary choice of group structure. We show that the GWLP of a design is independent of this choice, but that the Jcharacteristics are not. We briefly discuss some implications of these results. Key words. Fractional factorial design; group character; Hamming weight; multiset; orthogonal array
Verallgemeinerte Auflösung für orthogonale Felder (englischsprachig) Editorial notice / Impressum Published by / Herausgeber:
, 2013
"... Generalized resolution for orthogonal arrays ..."
unknown title
"... The decomposability of simple orthogonal arrays on 3 symbols having t + 1 rows and strength t ..."
Abstract
 Add to MetaCart
(Show Context)
The decomposability of simple orthogonal arrays on 3 symbols having t + 1 rows and strength t