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Establishing a Competing Risk Regression Nomogram Model for Survival Data
04:57

Establishing a Competing Risk Regression Nomogram Model for Survival Data

Published on: October 23, 2020

A bivariate survival model with compound Poisson frailty.

A Wienke1, S Ripatti, J Palmgren

  • 1Institute of Medical Epidemiology, Biostatistics and Informatics, University Halle-Wittenberg, Germany. andreas.wienke@medizin.uni-halle.de

Statistics in Medicine
|October 27, 2009
PubMed
Summary

This study introduces a new correlated frailty model for analyzing time-to-event data, allowing for non-susceptible individuals. The model estimates that 15% of women are susceptible to breast cancer.

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Area of Science:

  • Biostatistics
  • Epidemiology
  • Survival Analysis

Background:

  • Traditional survival analysis often assumes universal susceptibility to an event.
  • Bivariate time-to-event data requires specialized modeling techniques.
  • Existing correlated frailty models may not account for non-susceptible populations.

Purpose of the Study:

  • To propose a novel correlated frailty model for bivariate time-to-event data.
  • To extend the compound Poisson frailty model to a bivariate setting.
  • To incorporate a non-susceptible fraction into the population.

Main Methods:

  • Development of a bivariate correlated frailty model.
  • Extension of the compound Poisson frailty model.
  • Maximum likelihood estimation for model parameters.
  • Simulation studies to assess parameter estimation properties.

Main Results:

  • The proposed model accommodates a non-susceptible fraction, addressing a limitation in standard survival analysis.
  • The model includes correlated gamma and inverse Gaussian frailty models as special cases.
  • Application to Swedish twin data estimated a 15% breast cancer susceptibility rate.

Conclusions:

  • The new correlated frailty model provides a flexible framework for bivariate survival data with non-susceptible individuals.
  • The model offers valuable insights into population susceptibility for diseases like breast cancer.
  • This approach enhances the analysis of time-to-event data in epidemiological studies.