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ERIC Number: EJ925646
Record Type: Journal
Publication Date: 2011
Pages: 9
Abstractor: ERIC
ISSN: ISSN-0020-739X
Adding a Parameter Increases the Variance of an Estimated Regression Function
Withers, Christopher S.; Nadarajah, Saralees
International Journal of Mathematical Education in Science and Technology, v42 n4 p515-523 2011
The linear regression model is one of the most popular models in statistics. It is also one of the simplest models in statistics. It has received applications in almost every area of science, engineering and medicine. In this article, the authors show that adding a predictor to a linear model increases the variance of the estimated regression function, and so generally increases the width of a confidence interval. The authors illustrate these facts using real and simulated data sets. (Contains 2 tables.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A