頁籤選單縮合
題 名 | Generalized Resolution and Minimum Aberration Criteria for Plackett-Burman and Other Nonregular Factorial Designs |
---|---|
作 者 | Deng,Lih-yuan; Tang,Boxin; | 書刊名 | Statistica Sinica |
卷 期 | 9:4 1999.10[民88.10] |
頁 次 | 頁1071-1082 |
分類號 | 319.28 |
關鍵詞 | Confounding; Estimability; Fractional factorial; Hadamard matrix; Orthogonality; Projection property; Word length pattern; |
語 文 | 英文(English) |
英文摘要 | Resolution has been the most widely used criterion for comparing regular fractional factorials since it was introduced in 1961 by Box and Hunter. In this paper, we examine how a generalized resolution criterion can be defined and use for assessing nonregular factorials, notabley Plackett-Burman designs. Our generalization is intended to capture projection properties, complementing that of Webb (1964) whose concept of resolution concerns the estimability of lower order effects under the assumption that higher order effects are negligible. Our generalized resolution provides a fruitful criterion for ranking different designs while Webb’s resolution is mainly useful as a classification rule. An additional advantage of our approach is that the idea leads to a natural generalization of minimum aberration. Examples are given to illustrate the usefulness of the new criteria. |
本系統中英文摘要資訊取自各篇刊載內容。