頁籤選單縮合
題 名 | On the Coset Pattern Matrices and Minimum M-Aberration of 2□ Designs |
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作 者 | Zhu, Yu; Zeng, Peng; | 書刊名 | Statistica Sinica |
卷 期 | 15:3 民94.07 |
頁 次 | 頁717-730 |
分類號 | 319.5 |
關鍵詞 | Coset pattern matrix; Fractional factorial design; Isomorphism; Letter pattern matrix; Minimum M-aberration; |
語 文 | 英文(English) |
英文摘要 | The coset pattern matrix (CPM) is formally defined as an elaborate characterization of the aliasing patterns of a fractional factorial design. The possibility of using CPM to check design isomorphism is investigated. Despite containing much information about effect aliasing, the CPM fails to determine a design uniquely. We report and discuss small nonisomorphic deigns that have equivalent coset pattern matrices. These examples imply that the aliasing property and the combinatorial structure of a design depend on each other in a complex manner. Based on CPM, a new optimality criterion called the minimum M-aberration criterion is proposed to rank-order designs. Its connections with other existing optimality criteria are discussed. |
本系統中英文摘要資訊取自各篇刊載內容。