Residual plots in up to four dimensions

R. Dennis Cook; Sanford Weisberg

doi:10.1016/0378-3758(93)90119-Q

Residual plots in up to four dimensions

R. Dennis Cook, Sanford Weisberg

Statistics (Twin Cities)

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the use of selected modern graphical methods for enhancing the use of residual and added variable plots to assess the adequacy of a linear regression model. Emphasis is placed on rotation in up to four dimensions. It is shown that three- and four-dimensional residual plots can be an effective supplement to standard two-dimensional diagnostic plotting. Situations in which the standard plot of residuals versus fitted values can be expected to diagnose model deficiency are studied as well.

Original language	English (US)
Pages (from-to)	141-149
Number of pages	9
Journal	Journal of Statistical Planning and Inference
Volume	36
Issue number	2-3
DOIs	https://doi.org/10.1016/0378-3758(93)90119-Q
State	Published - 1993

Bibliographical note

Funding Information:
This work is supportedi n part by National ScienceF oundation Grants.

Keywords

Added variable plots
curvature
dynamic graphics
linear models

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10.1016/0378-3758(93)90119-Q

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abstract = "We discuss the use of selected modern graphical methods for enhancing the use of residual and added variable plots to assess the adequacy of a linear regression model. Emphasis is placed on rotation in up to four dimensions. It is shown that three- and four-dimensional residual plots can be an effective supplement to standard two-dimensional diagnostic plotting. Situations in which the standard plot of residuals versus fitted values can be expected to diagnose model deficiency are studied as well.",

keywords = "Added variable plots, curvature, dynamic graphics, linear models",

author = "Cook, {R. Dennis} and Sanford Weisberg",

note = "Funding Information: This work is supportedi n part by National ScienceF oundation Grants.",

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doi = "10.1016/0378-3758(93)90119-Q",

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T1 - Residual plots in up to four dimensions

AU - Cook, R. Dennis

AU - Weisberg, Sanford

N1 - Funding Information: This work is supportedi n part by National ScienceF oundation Grants.

PY - 1993

Y1 - 1993

N2 - We discuss the use of selected modern graphical methods for enhancing the use of residual and added variable plots to assess the adequacy of a linear regression model. Emphasis is placed on rotation in up to four dimensions. It is shown that three- and four-dimensional residual plots can be an effective supplement to standard two-dimensional diagnostic plotting. Situations in which the standard plot of residuals versus fitted values can be expected to diagnose model deficiency are studied as well.

AB - We discuss the use of selected modern graphical methods for enhancing the use of residual and added variable plots to assess the adequacy of a linear regression model. Emphasis is placed on rotation in up to four dimensions. It is shown that three- and four-dimensional residual plots can be an effective supplement to standard two-dimensional diagnostic plotting. Situations in which the standard plot of residuals versus fitted values can be expected to diagnose model deficiency are studied as well.

KW - Added variable plots

KW - curvature

KW - dynamic graphics

KW - linear models

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VL - 36

SP - 141

EP - 149

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 2-3

ER -

Residual plots in up to four dimensions

Abstract

Bibliographical note

Keywords

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