Joint Quaternary Design Tables for Geometrical Designs  
Author Jen-der Day


Co-Author(s) Hsien-Tang Tsai


Abstract For planning fraction factorial experiments, Taguchi provided some useful tools such as various orthogonal arrays, interaction tables, linear graphs, etc. and adopted the column assignment method in which the required factors are assigned to appropriate columns of a given orthogonal array. However, many research articles explored the methods that were used to construct those tools and tried to improve them. In this article, we propose Joint Quaternary Design Tables (JQDT’s) by doubling the Basic Joint Quaternary Design Table (BQDT) once, twice, fourfold to obtain run sizes of n=32, 64, etc. The JQDT’s have nice structure of confounding relationships so that users could identify multi-factor interaction columns in a straightforward manner without looking up tables. The JQDT’s can not only substitute the use of Taguchi’s interaction tables but also serve as an efficient tool for column assignment method.


Keywords Basic Quaternary Design Table, Joint Quaternary Design Table, Geometrical Design, Hadamard matrix, two-level fractional factorial design
    Article #:  1912
Proceedings of the 19th ISSAT International Conference on Reliability and Quality in Design
August 5-7, 2013 - Honolulu, Hawaii, U.S.A.