Adjusted Variable Plots for Cox's Proportional Hazards Regression Model

Charles B. Hall, Scott L. Zeger, Karen J. Bandeen-Roche

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Adjusted variable plots are useful in linear regression for outlier detection and for qualitative evaluation of the fit of a model. In this paper, we extend adjusted variable plots to Cox's proportional hazards model for possibly censored survival data. We propose three different plots: a risk level adjusted variable (RLAV) plot in which each observation in each risk set appears, a subject level adjusted variable (SLAV) plot in which each subject is represented by one point, and an event level adjusted variable (ELAV) plot in which the entire risk set at each failure event is represented by a single point. The latter two plots are derived from the RLAV by combining multiple points. In each point, the regression coefficient and standard error from a Cox proportional hazards regression is obtained by a simple linear regression through the origin fit to the coordinates of the pictured points. The plots are illustrated with a reanalysis of a dataset of 65 patients with multiple myeloma.

Original languageEnglish (US)
Pages (from-to)73-90
Number of pages18
JournalLifetime Data Analysis
Volume2
Issue number1
StatePublished - 1996
Externally publishedYes

Fingerprint

Proportional Hazards Regression
Cox Regression
Hazard Models
Proportional Hazards Models
Regression Model
Hazards
Linear regression
Linear Models
Multiple Myeloma
Censored Survival Data
Simple Linear Regression
Cox Proportional Hazards Model
Outlier Detection
Observation
Regression Coefficient
Standard error
Survival
Entire
Evaluation

ASJC Scopus subject areas

  • Applied Mathematics
  • Medicine(all)

Cite this

Adjusted Variable Plots for Cox's Proportional Hazards Regression Model. / Hall, Charles B.; Zeger, Scott L.; Bandeen-Roche, Karen J.

In: Lifetime Data Analysis, Vol. 2, No. 1, 1996, p. 73-90.

Research output: Contribution to journalArticle

Hall, CB, Zeger, SL & Bandeen-Roche, KJ 1996, 'Adjusted Variable Plots for Cox's Proportional Hazards Regression Model', Lifetime Data Analysis, vol. 2, no. 1, pp. 73-90.
Hall, Charles B. ; Zeger, Scott L. ; Bandeen-Roche, Karen J. / Adjusted Variable Plots for Cox's Proportional Hazards Regression Model. In: Lifetime Data Analysis. 1996 ; Vol. 2, No. 1. pp. 73-90.
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