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A note on confidence limits for quartiles with right censored data.

R M Elashoff1, J J Lee, A A Afifi

  • 1Department of Biostatistics (School of Public Health), University of California, Los Angeles 90024.

Statistics in Medicine
|October 1, 1989
PubMed
Summary
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Two new methods for constructing confidence limits for quartiles were evaluated. The smoothed modified reflected method is best for low censoring rates, while the Jennison and Turnbull method is preferred for high censoring.

Area of Science:

  • Statistics
  • Biostatistics

Background:

  • Accurate confidence limits for quartiles are essential in statistical analysis, particularly in survival analysis.
  • Existing methods may have limitations with small sample sizes and high censoring rates.

Purpose of the Study:

  • To propose and evaluate two novel methods for constructing confidence limits for quartiles.
  • To compare the performance of these new methods against the Jennison and Turnbull modified Brookmeyer-Crowley method.

Main Methods:

  • A simulation study was conducted to assess the behavior of the proposed methods.
  • The methods were compared at three quartiles (lower, median, and upper) under varying censoring rates.

Main Results:

  • The smoothed modified reflected method demonstrated superior performance for censoring rates below 40%.

Related Experiment Videos

  • The Jennison and Turnbull method was preferred for higher censoring rates (above 40%).
  • Results for the upper quartile mirrored those for the median; the lower quartile showed a tendency for semi-infinite intervals with small samples and high censoring.

    • Conclusions:

    • The smoothed modified reflected method offers an effective alternative for quartile confidence limits in scenarios with moderate censoring.
    • Permitting semi-infinite intervals for the lower quartile in specific conditions is informative and maintains nominal coverage levels.
    • The choice of method depends on the anticipated censoring rate in the dataset.