Agreement Lambda for Weighted Disagreement With Ordinal Scales: Correction for Category Prevalence.

Weighted inter-rater agreement allows for differentiation between levels of disagreement among rating categories and is especially useful when there is an ordinal relationship between categories. Many existing weighted inter-rater agreement coefficients are either extensions of weighted Kappa or are...

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Publicado en:Educational & Psychological Measurement Vol. 86; no. 3; pp. 484 - 525
Autor principal: Almehrizi, Rashid Saif
Formato: Artículo
Publicado: Sage Publications Inc. Jun2026
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Jun2026
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      pub: Sage Publications Inc.
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        193622810
        10.1177/00131644251376553
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        atl: Agreement Lambda for Weighted Disagreement With Ordinal Scales: Correction for Category Prevalence.
      aug:
        au: Almehrizi, Rashid Saif
        affil: Sultan Qaboos University, Muscat, Oman
      su:
        Conflict (Psychology)
        Statistical correlation
        Statistical models
        Mathematics
        Disease prevalence
        Simulation methods in education
        Statistics
        Hypothesis
        Conceptual structures
        Confidence intervals
        Inter-observer reliability
        Sampling errors
      sug:
        subj:
          Conflict (Psychology)
          Statistical correlation
          Statistical models
          Mathematics
          Disease prevalence
          Simulation methods in education
          Statistics
          Hypothesis
          Conceptual structures
          Confidence intervals
          Inter-observer reliability
          Sampling errors
      keyword:
        prevalence-agreement effect
        weighted disagreement
        weighted Kappa
        weighted Lambda
        prevalence-agreement effect
        weighted disagreement
        weighted Kappa
        weighted Lambda
      ab: Weighted inter-rater agreement allows for differentiation between levels of disagreement among rating categories and is especially useful when there is an ordinal relationship between categories. Many existing weighted inter-rater agreement coefficients are either extensions of weighted Kappa or are formulated as Cohen's Kappa-like coefficients. These measures suffer from the same issues as Cohen's Kappa, including sensitivity to the marginal distributions of raters and the effects of category prevalence. They primarily account for the possibility of chance agreement or disagreement. This article introduces a new coefficient, weighted Lambda, which allows for the inclusion of varying weights assigned to disagreements. Unlike traditional methods, this coefficient does not assume random assignment and does not adjust for chance agreement or disagreement. Instead, it modifies the observed percentage of agreement while taking into account the anticipated impact of prevalence-agreement effects. The study also outlines techniques for estimating sampling standard errors, conducting hypothesis tests, and constructing confidence intervals for weighted Lambda. Illustrative numerical examples and Monte Carlo simulations are presented to investigate and compare the performance of the new weighted Lambda with commonly used weighted inter-rater agreement coefficients across various true agreement levels and agreement matrices. Results demonstrate several advantages of the new coefficient in measuring weighted inter-rater agreement.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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