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研究生:劉慧娟
研究生(外文):Liu, Hui-Chuan
論文名稱:ClearEffectsintheCrossArray
論文名稱(外文):Clear Effects in the Cross Array
指導教授:黃必祥黃必祥引用關係
指導教授(外文):Pi-Hsiang Hwang
學位類別:碩士
校院名稱:國立高雄師範大學
系所名稱:數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:英文
論文頁數:32
中文關鍵詞:In the actural experimentengineers always care about the design which can be constructed easily and has the least cost.
外文關鍵詞:clearOrthogonal arrayControl factoraNoise factor
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In the actural experiment, engineers always care about the design which can be constructed easily and has the least cost.
Furthermore,they perfer the important main effects and interations are clear to estimate. Taguchi(1986) proposed the idea of robust designs to reduce the performance variation in
products and processes. However, in Taguchi's Product Array, the total number of experimental runs may be huge. In this paper ,we hope to reduce the number of runs by releasing the orthogonal condition of the outer array, and let the main effects of control factors and control-by-noise interations are still clear. We also discuss the Taguchi's Product Array, Kronecker Product Array and compare the construction for 2-level resolution IV robust-design experiment of Chen(2001) to Wu and Hamada's (2000) single array.

In the actural experiment, engineers always care about the design which can be constructed easily and has the least cost.
Furthermore,they perfer the important main effects and interations are clear to estimate. Taguchi(1986) proposed the idea of robust designs to reduce the performance variation in
products and processes. However, in Taguchi's Product Array, the total number of experimental runs may be huge. In this paper ,we hope to reduce the number of runs by releasing the orthogonal condition of the outer array, and let the main effects of control factors and control-by-noise interations are still clear. We also discuss the Taguchi's Product Array, Kronecker Product Array and compare the construction for 2-level resolution IV robust-design experiment of Chen(2001) to Wu and Hamada's (2000) single array.

1 Introduction
2 Preliminary
2.1 Cross array
2.2 Kronecker Product
2.3 Clear and the Supporting Models
2.4 Efficiency Criterion
3 Kronecker Product Array and Taguchi's Product Array
3.1 KPA
3.2 TPA
3.3 The Comparison of KPA and TPA
4 Resolution IV robust-design experiment
4.1 Chen's approach
4.2 Compare Chen's design to Wu and Hamada's design
5 Non-orthogonal design in the outer array
6 Summary

Chen, M.H. The construction of economical designs for resolution iv robust-design experiments.
Douglas C. Montgomery, Design and analysis of experiments, J. Wiley, New York,2000.
Kang, S.M. and Welch, W.J. and Yu, T.K. and Sacks, J. Computer experiments for quality control by parameter design., Journal of Quality Technology 22 (1990), 15--22.
Kreher, D.L. and Burgess, L. and Street, D.J. Small orthogonal main effect plans with four factors.gns., Commun. Statist. Theory Meth. 28
(1999), no.~10, 2441--2464.
Tsui, K.L. and Wu, C.F.J. A.Shoumaker, Economical experimentation methods for robust design., Technometrices 33 (1991), 415--427.
Wu, C.F. and Hamada, M. Experiments : planning, analysis, and parameter design optimization., J. Wiley, New York, 2000.

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