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Simple confidence intervals for standardized rates based on the approximate bootstrap method

M B Swift1

  • 1Ontario Cancer Treatment and Research Foundation, Toronto, Canada.

Statistics in Medicine
|September 15, 1995
PubMed
Summary
This summary is machine-generated.

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This study introduces the approximate bootstrap confidence (ABC) method for calculating confidence intervals for standardized rates. The ABC method demonstrates superior performance for direct standardized rates compared to other common procedures.

Area of Science:

  • Biostatistics
  • Epidemiology
  • Statistical modeling

Background:

  • Standardized rates are crucial for comparing health outcomes across populations.
  • Accurate confidence intervals are essential for reliable interpretation of these rates.
  • Existing methods for direct standardized rates lack exact solutions.

Purpose of the Study:

  • To present simple expressions for confidence intervals of indirect and direct standardized rates using the approximate bootstrap confidence (ABC) method.
  • To evaluate the performance of the ABC method for indirect standardized rates against exact methods.
  • To compare the ABC method with alternative procedures for direct standardized rates.

Main Methods:

  • Application of the approximate bootstrap confidence (ABC) method by DiCiccio and Efron.

Related Experiment Videos

  • Comparison of ABC method with exact methods for indirect standardized rates.
  • Simulation studies evaluating coverage properties of ABC, standard normal, log-normal, and Dobson et al. methods for direct standardized rates.

    • Main Results:

    • The ABC method shows favorable comparison with exact methods for indirect standardized rates.
    • For direct standardized rates, the ABC method outperformed standard normal, log-normal, and Dobson et al. methods.
    • Simulation results indicate the ABC method provides balanced tail probabilities for direct standardized rates.

    Conclusions:

    • The approximate bootstrap confidence (ABC) method offers a robust and effective approach for calculating confidence intervals for standardized rates.
    • The ABC method is particularly advantageous for direct standardized rates where exact methods are unavailable.
    • This method enhances the reliability of statistical inference in epidemiological and biostatistical analyses.