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題 名 | Optimal Designs for Binary Response Experiments with Two Design Variables |
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作 者 | Sitter,Randy R.; Torsney,Ben; | 書刊名 | Statistica Sinica |
卷 期 | 5:2 1995.07[民84.07] |
頁 次 | 頁405-419 |
分類號 | 319.1 |
關鍵詞 | 二元資料; 最優設計; 概率單位; Binary data; Convex hull; Logit; Optimal design; Probit; |
語 文 | 英文(English) |
英文摘要 | D-optimal and c-optimal designs for binary response experiments with two design variables are considered. It is shown that with two design variables and a bounded design space, there exists a D-optimal design which has at most four or six symmetrically arranged support points, form which further reduction in the number of support points may sometimes be accomplished by using an asymmetric weighting. For c-optimality we identify when the support consists of 1, 2 or 3 points. The amount of numerical work required does not differ from the one design variable case. |
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