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The Monotone Smoothing of Scatterplots

 

作者: Jerome Friedman,   Robert Tibshirani,  

 

期刊: Technometrics  (Taylor Available online 1984)
卷期: Volume 26, issue 3  

页码: 243-250

 

ISSN:0040-1706

 

年代: 1984

 

DOI:10.1080/00401706.1984.10487961

 

出版商: Taylor & Francis Group

 

关键词: Scatterplot smoothing;Isotonic regression

 

数据来源: Taylor

 

摘要:

We consider the problem of summarizing a scatterplot with a smooth, monotone curve. A solution that combines local averaging and isotonic regression is proposed, and we demonstrate its use with two examples. In the second example, the procedure is applied, in a regression setting, to some data from Box and Cox (1964), and it is shown how this new procedure generalizes Box and Cox's well-known family of transformations. In the same example, the bootstrap is applied to obtain a measure of the variability of the procedure.

 

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