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Estimation of discrete survival function for error-prone diagnostic tests.

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|November 28, 2017
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Summary

This study introduces a new method to accurately estimate survival functions, even when event data may be misclassified. The approach corrects biases in the Kaplan-Meier estimator, providing a more reliable survival distribution for clinical research.

Keywords:
detection limitdiagnostic testingevent adjudicationmeasurement errormisclassificationsurvival analysis

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Area of Science:

  • Biostatistics
  • Survival Analysis
  • Clinical Epidemiology

Background:

  • The Kaplan-Meier (KM) estimator is standard for survival function estimation with incomplete event data.
  • KM assumes event occurrences are known with certainty, which is often untrue due to diagnostic misclassification.
  • Event misclassification can lead to inaccurate estimations of the true time-to-event distribution.

Purpose of the Study:

  • To develop a novel method for estimating the true survival distribution in the presence of event misclassification.
  • To quantify the bias introduced into KM survival estimates by misclassified events.
  • To provide an unbiased estimator for the true survival function and its variance.

Main Methods:

  • Developed a KM-like estimation method incorporating negative and positive predictive values.
  • Quantified bias in KM estimates resulting from misclassified events.
  • Derived an unbiased estimator for the survival function and its variance.

Main Results:

  • The proposed method provides an unbiased estimator for the true survival function.
  • Quantified the bias in standard KM survival estimates due to misclassification.
  • Asymptotic properties of the new estimators were derived and validated through simulations.

Conclusions:

  • The novel method accurately estimates survival distributions when event data is subject to misclassification.
  • This approach corrects for bias inherent in the traditional Kaplan-Meier estimator.
  • Demonstrated utility using data from the Viral Resistance to Antiviral Therapy of Hepatitis C study.