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A modified large-sample approach to approximate interval estimation for a particular intraclass correlation

Joseph C Cappelleri1, Naitee Ting

  • 1Pfizer Inc, Global Research & Development, Groton, Connecticut 06340, USA. joseph_c_cappelleri@groton.pfizer.com

Statistics in Medicine
|May 20, 2003
PubMed
Summary

The modified large-sample approach offers the most reliable confidence intervals for intraclass correlation coefficients in interrater reliability studies, outperforming older methods in coverage and width.

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Area of Science:

  • Statistics
  • Biostatistics
  • Psychometrics

Background:

  • Interrater reliability is crucial for study consistency.
  • Accurate confidence intervals for intraclass correlation coefficients (ICC) are essential.
  • Existing methods for ICC confidence intervals have limitations.

Purpose of the Study:

  • To compare the performance of three confidence interval approximation methods for ICC.
  • To evaluate interval coverage and width in a two-way random effects model.
  • To identify the most suitable method for interrater reliability studies.

Main Methods:

  • A simulation study was conducted.
  • Three approximation methods were compared: Satterthwaite's two moments, modified three moments, and modified large sample.
  • One-sided lower and two-sided confidence interval bounds were examined.

Main Results:

  • The two-moment approach understated interval coverage for both one-sided and two-sided bounds.
  • The modified large-sample approach provided correct or conservative coverage and narrower widths.
  • The modified three-moment approach showed undercoverage for certain rater numbers.

Conclusions:

  • The modified large-sample approach is the most satisfactory method for constructing ICC confidence intervals.
  • This method ensures more accurate and reliable interval estimations in interrater reliability.
  • It offers improved performance over traditional and modified three-moment methods.