Liu, Wei, Wynn, H. P.  ORCID: 0000-0002-6448-1080 and Hayter, A. J. 
  
(2008)
Statistical inferences for linear regression models when the covariates have functional relationships: polynomial regression.
    Journal of Statistical Computation and Simulation, 78 (4).
     pp. 315-324.
     ISSN 0094-9655
ORCID: 0000-0002-6448-1080 and Hayter, A. J. 
  
(2008)
Statistical inferences for linear regression models when the covariates have functional relationships: polynomial regression.
    Journal of Statistical Computation and Simulation, 78 (4).
     pp. 315-324.
     ISSN 0094-9655
  
  
  
Abstract
In many linear regression models, there are functional relationships among the covariates. The usual (partial) F tests for these models do not utilize these functional relationships, however, and so have certain undesirable properties. Improvements over these F tests are proposed in this article, and they are based on simultaneous confidence bands. For ease of illustration of the ideas, we focus on the polynomial regression model.
| Item Type: | Article | 
|---|---|
| Official URL: | http://www.tandfonline.com/toc/gscs20/current#.Uw3... | 
| Additional Information: | © 2008 The Authors | 
| Divisions: | Centre for Analysis of Time Series | 
| Subjects: | Q Science > QA Mathematics | 
| Date Deposited: | 26 Feb 2014 11:13 | 
| Last Modified: | 11 Sep 2025 07:31 | 
| URI: | http://eprints.lse.ac.uk/id/eprint/55870 | 
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