Premium
All orthogonal arrays with 18 runs
Author(s) -
Schoen Eric D.
Publication year - 2009
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.986
Subject(s) - orthogonal array , word (group theory) , algorithm , computer science , mathematics , combinatorics , statistics , pattern recognition (psychology) , artificial intelligence , geometry , taguchi methods
Abstract All combinatorially inequivalent orthogonal arrays with 18 runs and eight or less factors are generated. Their potential as practical experimental designs is evaluated by a classification using generalized word‐length patterns of the original arrays and those of their projections into less factors. Arrays of special interest are given explicitly. This paper includes the statistical analysis of results from a real‐life experiment based on one of the arrays. Copyright © 2008 John Wiley & Sons, Ltd.