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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