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頁籤選單縮合
題名 | D-Optimal Designs for Polynomial Regression without an Intercept |
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作者 | Lo Huang,Mong-na; Chang,Fu-chuen; Wong,Weng-kee; | 書刊名 | Statistica Sinica |
卷期 | 5:2 1995.07[民84.07] |
頁次 | 頁441-458 |
分類號 | 319.51 |
關鍵詞 | 多項式迴歸; D-and G-efficiency; Information matrix; Jacobi polynomial; Lagrange interpolation polynomial; Sturm-liouville equation; |
語文 | 英文(English) |
英文摘要 | D-optimal designs on the intervals [a, b] are determined for the homoscedastic linear model with regression function f□(x) = (x, …, x[fee2]). Motivation, properties and peculiarities of these designs are provided. In particular, the number of support points of the optimal designs for such models depends on the values of a and b, as well as an ordered eigenvalue of certain matrix. Analytical results are derived for selected values of a and b, and where they are not available, numerically optimal designs are computed. The technique here can be used to find optimal designs on more general design intervals and extend some known results (for example, Lau (1983)). Under the model considered here lower D- and G-efficiency bounds of the D-optimal design for the full polynomial model are included. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。