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| 題 名 | D-,A-,E- Optimal Criterion in Combined 3[fed3](n=3,4) Designs=3[fed3](n=3,4)結合設計的D-,A-,E-最適設計 |
|---|---|
| 作 者 | 黃必祥; 廖本煌; | 書刊名 | 高雄師大學報 |
| 卷 期 | 11 2000.04[民89.04] |
| 頁 次 | 頁267-279 |
| 分類號 | 310 |
| 關鍵詞 | 定義關係; 交互作用; 解析度; D-,A-,E-最適設計; Defining relation; Interaction; Resolution; D-,A-,E-optimal design; |
| 語 文 | 英文(English) |
| 中文摘要 | 許多實驗者在做實驗時均以直交表做為藍本進行實驗,他們大部份常假設因子之間的交互作用可以忽略不計。但當交互作確實存在而實驗者卻忽略不計時,Montgomery (1997)指出如此分析數據常會導致錯誤的結論。結合兩個3n(n=3,4)部分因子設計,除了可以增加二因子交互作用的訊息外,並可產生一些重複的實驗點提供給實驗者做缺失性(lack of fit)的檢定。然而結合的方式有數種方法,本文將以D-, A-, E-最適設計為基準,探討他們間在某個考量下,何者為較佳的設計,提供給實驗者做參考。 |
| 英文摘要 | Orthogonal arrays are used by many statistical experimenters. Most of them assume that the interaction between factors may be ignored. However, Montgomery (1997) indicates that a significant interaction will often mask the significance of main effect. Hence, it is easy to make the wrong conclusions for the data analysis when the interactions really contribute to the experiment and are ignored by experimenters. It is possible combining two fractions of 3n(n=3,4) designs to obtain more information about interactions. For the combined designs, they also provide a set of duplication points that can be used to perform the lack of fit test. There are several alternatives to combine 3n (n=3,4) designs. The D-,A-,E- optimal criteria will be discussed for these designs in the article. |
本系統中英文摘要資訊取自各篇刊載內容。