The comparison between polynomial regression and orthogonal polynomial regression
文献类型：期刊论文
| 作者 | Tian, GL |
| 刊名 | STATISTICS & PROBABILITY LETTERS
 |
| 出版日期 | 1998-07-01 |
| 卷号 | 38期号:4页码:289-294 |
| 关键词 | condition number gram-Schmidt decomposition multicollinearity optimal design polynomial regression |
| ISSN号 | 0167-7152 |
| 英文摘要 | In this paper, the relationship between X, the structure matrix in a polynomial regression (PR) model, and Z, the structure matrix in an orthogonal polynomial regression (OPR) model, is established. We show that C(X) greater than or equal to C(Z), where C(X) denotes the condition number of X, and OPR is superior to PR under the criteria of A- and E- optimalities in the sense of experimental design. However, the two regressions are equivalent under the criterion of D-optimality. These conclusions are also valid for the general linear regression model with p(> 1) predictor variables. (C) 1998 Elsevier Science B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000074314000001 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13331]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tian, GL. The comparison between polynomial regression and orthogonal polynomial regression[J]. STATISTICS & PROBABILITY LETTERS,1998,38(4):289-294. |
| APA | Tian, GL.(1998).The comparison between polynomial regression and orthogonal polynomial regression.STATISTICS & PROBABILITY LETTERS,38(4),289-294. |
| MLA | Tian, GL."The comparison between polynomial regression and orthogonal polynomial regression".STATISTICS & PROBABILITY LETTERS 38.4(1998):289-294. |
入库方式： OAI收割
来源：数学与系统科学研究院
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