頁籤選單縮合
題 名 | Connections among Different Criteria for Asymmetrical Fractional Factorial Designs |
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作 者 | Liu, Min-qian; Fang, Kai-tai; Hickernell, Fred J.; | 書刊名 | Statistica Sinica |
卷 期 | 16:4 民95.10 |
頁 次 | 頁1285-1297 |
分類號 | 319.5 |
關鍵詞 | Generalized minimum aberration; Minimum moment aberration; Orthogonal array; Supersaturated design; Uniformity; |
語 文 | 英文(English) |
英文摘要 | In recent years, there has been increasing interest in the study of asymmetrical fractional factorial designs. Various new optimality criteria have been proposed from different principles for design construction and comparison, such as generalized minimum aberration, minimum moment aberration, minimum projection uniformity and the X²(D)(for design D) criteria. In this paper, these criteria are reviewed and the X²(D) criterion is generalized to the so-called minimum X² criterion. Connections among different criteria are investigated. These connections provide strong statistical justification for each of them. Some general optimality results are developed, which not only unify several results (including results for the symmetrical case), but also are useful for constructing asymmetrical supersaturated designs. |
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