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頁籤選單縮合
題名 | Optimal Designs for Polynomial Regression When the Degree is Not Known |
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作者 | Dette,Holger; Studden,William J.; | 書刊名 | Statistica Sinica |
卷期 | 5:2 1995.07[民84.07] |
頁次 | 頁459-473 |
分類號 | 319.51 |
關鍵詞 | 多項式迴歸; 最優設計; Canonical moments; D-efficiency; Equivalence theorem; Mixture of optimality criteria; Polynomial regression; |
語文 | 英文(English) |
英文摘要 | This paper considers the problem of determining efficient designs for polynomial regression models when only an upper bound for the degree of the polynomial is known by the experimenter before the experiments are carried out. The optimality criterion maximizes a weighted p-mean of the relative D-efficiencies in the different models. The optimal (model robust) design is completely determined in terms of its canonical moments which form the unique solution of a system of nonlinear equations. The efficiency of the optimal designs with respect to different criteria is investigated by several examples. |
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