Taguchi’s Orthogonal Arrays Are Classical Designs of Experiments
نویسندگان
چکیده
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.
منابع مشابه
Strengths and Limitations of Taguchi’s Contributions to Quality, Manufacturing, and Process Engineering
This paper reviews Genichi Taguchi’s contributions to the field of quality and manufacturing engineering from both a statistical and an engineering viewpoint. His major contributions are first listed and then described in a systematic and analytical manner. The concepts underlying Taguchi’s univariate quality loss functions (QLFs), his orthogonal arrays (OAs), robust designs, signal-to-noise (S...
متن کاملBlock-crossed arrays with applications to robust design
In this paper we develop a class of two-level designs that allow orthogonal estimation of certain main e ects and two-factor interactions when other main e ects and two-factor interactions are present but not of interest. The designs can be easily generated using block-crossed arrays. The application is clearly to settings in which one might apply either Taguchi’s crossed arrays or single-array...
متن کاملThe Use of Subset Selection in Combined-Array Experiments to Determine Optimal Product or Process Designs
In his pioneering work on product and process improvement, Taguchi (1986) emphasizes two types of factors that effect product quality: “control factors” are those variables that can be (easily) manipulated by the manufacturer and “noise factors” are those variables that represent either different environmental conditions that affect the performance of a product in the field or (uncontrollable) ...
متن کاملOptimization and Prediction of Reaction Parameters of Plastic Pyrolysis oil Production Using Taguchi Method
Design of Experiments (DoE) is a powerful guiding tool that can help researchers to identify the main variables that affect the performance characteristics. The present paper elaborates on the optimization and prediction of reaction parameters like type of plastic, catalyst, and temperature using Taguchi’s L9 orthogonal array method with three levels and three parameters to obtai...
متن کاملSome New Properties of the Searching Probability
Consider search designs for searching one nonzero 2- or 3-factor interaction under the search linear model. In the noisy case, search probability is given by Shirakura et al. (Ann. Statist. 24(6) (1996) 2560). In this paper some new properties of the searching probability are presented. New properties of the search probability enable us to compare designs, which depend on an unknown parameter ?...
متن کامل