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Related Experiment Videos

Intraclass correlation for two-by-two tables under three sampling designs

C A Bodian1

  • 1Department of Biomathematical Sciences, Mount Sinai Medical Center, New York, New York 10029.

Biometrics
|March 1, 1994
PubMed
Summary
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This study introduces population models for binary classification agreement using intraclass correlation. Two estimators, ANOVA-type and maximum likelihood, are proposed and compared, showing minimal differences in symmetric tables.

Area of Science:

  • Statistics
  • Biostatistics
  • Psychometrics

Background:

  • Assessing agreement between two binary classifications often results in four-fold tables.
  • Existing methods for quantitative data can be adapted for binary data analysis.
  • Kraemer's approach provides a framework for population models in binary data agreement studies.

Purpose of the Study:

  • To describe population models for binary data analogous to quantitative data models.
  • To define parameters for intraclass correlation in various designs.
  • To propose and compare estimators for intraclass correlation in binary data.

Main Methods:

  • Development of population models for one-way random, two-way mixed, and two-way random designs.
  • Definition of intraclass correlation parameters for each model.

Related Experiment Videos

  • Proposal of two estimators: ANOVA-type tables and maximum likelihood estimation.
  • Main Results:

    • The maximum likelihood estimator for the two-way mixed design equals the phi coefficient.
    • For large samples, the ANOVA estimator for the two-way random design approximates Cohen's kappa.
    • Estimator differences are minimal with marginal symmetry but increase with asymmetry and prevalence near .50.

    Conclusions:

    • The study provides robust methods for estimating intraclass correlation in binary classification agreement.
    • The proposed estimators offer reliable alternatives, especially when marginal symmetry is present.
    • Understanding the impact of marginal asymmetry and prevalence is crucial for accurate agreement assessment.