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Statistical Inference for G-indices of Agreement

Author

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  • Douglas G. Bonett

    (Department of Psychology, University of California, Santa Cruz, CA, USA)

Abstract

The limitations of Cohen’s κ are reviewed and an alternative G -index is recommended for assessing nominal-scale agreement. Maximum likelihood estimates, standard errors, and confidence intervals for a two-rater G -index are derived for one-group and two-group designs. A new G -index of agreement for multirater designs is proposed. Statistical inference methods for some important special cases of the multirater design also are derived. G -index meta-analysis methods are proposed and can be used to combine and compare agreement across two or more populations. Closed-form sample-size formulas to achieve desired confidence interval precision are proposed for two-rater and multirater designs. R functions are given for all results.

Suggested Citation

  • Douglas G. Bonett, 2022. "Statistical Inference for G-indices of Agreement," Journal of Educational and Behavioral Statistics, , vol. 47(4), pages 438-458, August.
    • Handle: RePEc:sae:jedbes:v:47:y:2022:i:4:p:438-458
    DOI: 10.3102/10769986221088561
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