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The Existence of Mixed Orthogonal Arrays with Four and Five Factors of Strength Two
Author(s) -
Chen Guangzhou,
Ji Lijun,
Lei Jianguo
Publication year - 2014
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.21350
Subject(s) - orthogonal array , mathematics , combinatorics , orthogonal basis , orthogonal matrix , pure mathematics , statistics , taguchi methods , physics , quantum mechanics
Symmetric orthogonal arrays and mixed orthogonal arrays are useful in the design of various experiments. They are also a fundamental tool in the construction of various combinatorial configurations. In this paper, we investigated the mixed orthogonal arrays with four and five factors of strength two, and proved that the necessary conditions of such mixed orthogonal arrays are also sufficient with several exceptions and one possible exception.