頁籤選單縮合
| 題 名 | Optimal Regression Designs under Random Block-effects Models |
|---|---|
| 作 者 | Cheng,Ching-shui; | 書刊名 | Statistica Sinica |
| 卷 期 | 5:2 1995.07[民84.07] |
| 頁 次 | 頁485-497 |
| 分類號 | 319.51 |
| 關鍵詞 | 最優迴歸設計; 平衡不完全區組設計; Approximate design; Balanced incomplete block design; Doptimality; Equivalence theorem; |
| 語 文 | 英文(English) |
| 英文摘要 | D-optimal regression designs under random block-effects models are considered. In addition to selecting design points, an experimenter also needs to specify how they are grouped into blocks. We first consider minimum-support designs, which are supported on the minimum number of design points. In this case, it is shown that a D-optimal design can be obtained by combining a D-optimal block design (for treatment comparisons under random block-effects models) with a D-optimal regression design under the usual uncorrelated model. Such a design, however, is not optimal when there are no restrictions on the competing designs. To attack the general problem of constructing optimal designs without restrictions on the competing designs, we sketch an approach based on the approximate theory, and apply it to quadratic regression on [-1, 1]. |
本系統中英文摘要資訊取自各篇刊載內容。