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Explained variation in survival analysis

M Schemper1, J Stare

  • 1Department of Medical Computer Sciences, Vienna University, Austria.

Statistics in Medicine
|October 15, 1996
PubMed
Summary
This summary is machine-generated.

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Researchers compared explained variation measures for Cox regression models. No single measure is best; choices depend on whether data is uncensored or censored, with specific recommendations for each scenario.

Area of Science:

  • Biostatistics
  • Survival Analysis

Background:

  • Cox proportional hazards regression is widely used for survival data analysis.
  • Quantifying explained variation in Cox models is crucial for interpreting model fit and predictive accuracy.
  • Existing measures of explained variation lack a standardized approach and clear performance guidelines.

Purpose of the Study:

  • To categorize and compare various measures of explained variation for Cox proportional hazards models.
  • To evaluate the performance of these measures against established criteria for survival data.
  • To provide guidance on selecting appropriate explained variation measures based on data characteristics.

Main Methods:

  • Categorization of explained variation measures into three classes based on general linear model R2 definitions.

Related Experiment Videos

  • Empirical comparison of measure performance using a set of defined criteria.
  • Application of a data augmentation algorithm for multiple imputation under proportional hazards for censored data.
  • Main Results:

    • No single measure of explained variation demonstrated uniform superiority across all scenarios.
    • For uncensored populations, Kent and O'Quigley's measure and squared rank correlation are recommended.
    • For censored populations, Schemper's measure (V2) is a potential candidate.

    Conclusions:

    • The choice of explained variation measure for Cox models is context-dependent, particularly concerning data censoring.
    • Routinely evaluating explained variation is encouraged in survival data studies.
    • Further research may be needed to develop universally applicable and robust measures.