A note on visualizing response transformations in regression

R. D. Cook; D. J. Olive

doi:10.1198/00401700152672537

A note on visualizing response transformations in regression

R. D. Cook, D. J. Olive

Statistics (Twin Cities)

Research output: Contribution to specialist publication › Article

7 Scopus citations

Abstract

A new graphical method for assessing parametric transformations of the response in linear regression is given. We simply regress the response variable Y on the predictors, find the fitted values, and then dynamically plot the transformed response Y^(λ) against those fitted values by varying the transformation parameter λ until the plot is linear. The method can be used also to assess the success of numerical response transformation methods and to discover influential observations. Modifications using robust estimators can be used as well.

Original language	English (US)
Pages	443-449
Number of pages	7
Volume	43
No	4
Specialist publication	Technometrics
DOIs	https://doi.org/10.1198/00401700152672537
State	Published - Nov 2001

Bibliographical note

Funding Information:
We thank the referees, the associate editor, and the editor for helpful comments. This work was supported in part by National Science Foundation grants DMS-9703777 and DMS-0103983.

Keywords

Box-Cox transformation
Graphics

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10.1198/00401700152672537

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keywords = "Box-Cox transformation, Graphics",

author = "Cook, {R. D.} and Olive, {D. J.}",

note = "Funding Information: We thank the referees, the associate editor, and the editor for helpful comments. This work was supported in part by National Science Foundation grants DMS-9703777 and DMS-0103983.",

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AB - A new graphical method for assessing parametric transformations of the response in linear regression is given. We simply regress the response variable Y on the predictors, find the fitted values, and then dynamically plot the transformed response Y(λ) against those fitted values by varying the transformation parameter λ until the plot is linear. The method can be used also to assess the success of numerical response transformation methods and to discover influential observations. Modifications using robust estimators can be used as well.

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JO - Technometrics

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ER -

A note on visualizing response transformations in regression

Abstract

Bibliographical note

Keywords

Publisher link

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