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Testing the Hypotheses on the Fixed Effects in the Taguchi Approach with Combined Arrays
Author(s) -
Zanella Angelo,
Deldossi Laura,
Cantaluppi Gabriele
Publication year - 2006
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.760
Subject(s) - taguchi methods , robustness (evolution) , percentile , statistical hypothesis testing , statistical power , econometrics , statistics , statistical noise , computer science , engineering , reliability engineering , mathematics , biochemistry , chemistry , gene
The paper examines a particular aspect of robustness related to the Taguchi approach to off‐line quality control. In particular, the ‘combined array’ approach to experimental design is considered, which requires the noise factors to be reproduced as controllable factors in a laboratory or on a pilot plant level. We propose a statistical method for assessing the existence of controllable factor effects on the mean, in signifying that they are clearly distinguishable from the error random fluctuations even if there are noise factors typically affecting a response of interest in the real production or utilization of some goods. The method has recourse to a statistical test, whose percentage point, defining the acceptance/rejection regions of the hypothesis under study, is the appropriate $(1-\alpha)$ percentile of a doubly non‐central F distribution. The study of the power function of the test suggested the simplification of the latter, which is dealt with in the paper also with regard to an example of application of the proposed method. Copyright © 2006 John Wiley & Sons, Ltd.