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題名 | 矩陣分割法應用:A-最適設計=Matrix Partition in A-optimal Designs |
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作者 | 邱萬益; Chiu, Wan-yi; |
期刊 | 中國統計學報 |
出版日期 | 20010300 |
卷期 | 39:1 2001.03[民90.03] |
頁次 | 頁45-56 |
分類號 | 313.79 |
語文 | chi |
關鍵詞 | 矩陣分割; A-最適設計; A-optimality; Matrix partition; |
中文摘要 | 一階主要因子的最適設計模型是一被廣泛討論的課題。本文加入交叉變數的考量,應用矩陣分割的技巧,轉換交叉變數模型為主要因子變數模型,簡化A-最適設計的計算過程。 |
英文摘要 | Because of high cost of each experiment, experimenters like to estimate all the main effects by using minimal number of design points. Many constructive algorithms for finding optimal or near-optimal designs have been developed. A well known and powerful tool to find A-optimal design is Mitchell's algorithm with slight modification. However, if inclusion of more experiments is permitted, we shall be interested in seeking a first-order model with two-factor interactions. In this paper, we apply a partition technique to the linear regression model with some two-factor interactions. This method successfully transforms a two-factor interactions model into a main effects model. |
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