Abstract
Hadamard orthogonal tables correspond to interactions in linear graphs. But it only represents part of the interaction. Mixed orthogonal arrays are highly confounding to the main effects of interactions. These experimental design methods capture the main effects, but cannot grasp the interaction. About 62% of the optimal conditions for the mixed system orthogonal array are below the best experimental no. value. This chapter proposes a method for selecting optimal conditions that considers both interactions and main effects. We compared the no. best value condition (a) and the best level condition (b) of the factor effect in the orthogonal array experiment and designed it assuming that the difference level factor was strongly related to the interaction and the common level factor to the main effect. The method is described in detail as [a, b] analysis.
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References
Asao, T., et al. (1973). Latest experimental design method, Chapter 8, Optimum value search experiment. Japan United Science Engineering.
Montgomery, D. (2013). Design and analysis of experiments (8th Edn., Chapter 11, Response surface methodology). Wiley.
Mori, T. (2018). The 48th quality control society conference. Robust design 62% problem. Kansai University 2018-11-17
Mori, T. (2020). The inspection report for the SN-ratio optimum prediction accuracy of Taguchi two step design. Acta Science Nutritional Health, 88–98.
Shimada, S. (1958). The story of easy orthogonal arrays, Chapter 3 Method of finding optimal conditions. Japanese Standards Association.
Taguchi, G. (1957). Experimental design method. Maruzen.
Taguchi, G. (1984). Parameter design in new product development. Japanese Standards Association.
Yoshino, M., & Nishina, T. (2009). Simulation and SQC. Japanese Standards Association.
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Mori, T. (2024). Proposal to Optimizing Design Using [a, b] Analysis Considering Interaction for Design Matrices Experiment. In: Conference Matrices for Optimizing and Applications. Springer, Singapore. https://doi.org/10.1007/978-981-99-6839-8_6
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DOI: https://doi.org/10.1007/978-981-99-6839-8_6
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