摘要(中) |
當我們要建構一個有Kc個可控因子,且有Nc個製程條件的可控陣列,其強度為dc及有Ke個誤差因子,且有Ne個排列組合的誤差陣列,其強度為de,並將每個製程條件配上誤差陣列,如此所構成的結果,其強度為d的設計,並用COA((Nc,Ne),(Kc,Ke),2,(dc,de,d))來表示之。
在其建構方法上,我們介紹了Rosenbaum的區集三角矩陣法(block triangular matrix)和混淆因子建構法(confounded factorial design)這兩種建構法,並提出一個直接指定的新方法。在這三種方法中,我們提出的方法較為簡單且方便,亦可迅速找出強度更高的設計。 |
參考文獻 |
1. Bose, R. C. ,and Bush, K. A.(1952), “Orthogonal arrays of strength two and three” , Ann. Math. Statist. , 23, 508-524.
2. Hadayat, S. ,and Stufken, J. (1999), “Compound Orthogonal Arrays” , Technometrics, 41, 57-61.
3. Rosenbaum, P. R. (1994), “Dispersion Effects From Fractional Factorials in Taguchi’s Method of Quality Design” , Journal of the Royal Statistical Society , Ser. B., 56, 641-652.
4. Rosenbaum, P. R. (1996), “Some Useful Compound Dispersion Experiments in Quality Design” , Technometrics, 38 , 354-364.
5. Rosenbaum, P. R. (1999), “Blocking in Compound Dispersion Experiments” , Technometrics, 41, 125-134.
6. Taguchi, G. (1986), Introduction to Quality Engineering: Design Quality Into Products and Processes, Tokyo: Asian Productivity Organization. |