Taguchi's Orthogonal Arrays Are Classical Designs of Experiments.
Taguchi's catalog of orthogonal arrays is based on the mathematical theory of factorial designs and difference sets developed by R. C. Bose and his associates. These arrays evolved as extensions of factorial designs and latin squares. This paper (1) describes the structure and constructions of Taguchi's orthogonal arrays, (2) illustrates their fractional factorial nature, and (3) points out that Taguchi's catalog can be expanded to include orthogonal arrays developed since 1960.
National Institute of Standards and Technology, Gaithersburg, MD 20899.
Raghu N
RN
Kacker
National Institute of Standards and Technology, Gaithersburg, MD 20899.
Eric S
ES
Lagergren
National Institute of Standards and Technology, Gaithersburg, MD 20899.
James J
JJ
Filliben
Taguchi’s methods; difference sets; fractional factorial plans; orthogonal arrays