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Balanced arrays of strength two and nested (r, λ)‐designs
Author(s) -
Kuriki Shinji,
FujiHara Ryoh
Publication year - 1994
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.3180020604
Subject(s) - mathematics , orthogonal array , combinatorics , discrete mathematics , statistics , taguchi methods
An ( r ,λ)‐design with mutually balanced nested subdesigns (for brevity, ( r ,λ)‐design with MBN) is introduced firstly in this article. It is shown that an r ,λ‐design with MBN is equivalent to a balanced array of strength 2 with s symbols. By the use of a nested design and an orthogonal array, a construction of an r ,λ‐design with MBN is given. A direct construction of such an ( r ,λ)‐design, based on the result obtained by Wilson [15], is also given. By these constructions, new balanced arrays with s ≥ 3 are presented. © 1994 John Wiley & Sons, Inc.