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How Robust Are Multirater Interrater Reliability Indices to Changes in Frequency Distribution?

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  • David Quarfoot
  • Richard A. Levine

Abstract

Interrater reliability studies are used in a diverse set of fields. Often, these investigations involve three or more raters, and thus, require the use of indices such as Fleiss’s kappa, Conger’s kappa, or Krippendorff’s alpha. Through two motivating examples—one theoretical and one from practice—this article exposes limitations of these indices when the units to be rated are not well-distributed across the rating categories. Then, using a Monte Carlo simulation and information visualizations, we argue for the use of two alternative indices, the Brennan–Prediger coefficient and Gwet’s AC2, because the agreement levels reported by these indices are more robust to variation in the distribution of units that raters encounter. The article concludes by exploring the complex, interwoven relationship between the number of levels in a rating instrument, the agreement level present among raters, and the distribution of units that are to be scored. Supplementary materials for this article are available online.

Suggested Citation

  • David Quarfoot & Richard A. Levine, 2016. "How Robust Are Multirater Interrater Reliability Indices to Changes in Frequency Distribution?," The American Statistician, Taylor & Francis Journals, vol. 70(4), pages 373-384, October.
  • Handle: RePEc:taf:amstat:v:70:y:2016:i:4:p:373-384
    DOI: 10.1080/00031305.2016.1141708
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    Cited by:

    1. Balgah, Roland Azibo & Benjamin, Emmanuel Olatunbosun & Kimengsi, Jude Ndzifon & Buchenrieder, Gertrud, 2023. "COVID-19 impact on agriculture and food security in Africa. A systematic review and meta-analysis," World Development Perspectives, Elsevier, vol. 31(C).
    2. Miriam Steiner, 2020. "Soft Presentation of Hard News? A Content Analysis of Political Facebook Posts," Media and Communication, Cogitatio Press, vol. 8(3), pages 244-257.
    3. Lisa Mertens & Kristine De Martelaer & Arja Sääkslahti & Eva D’Hondt, 2021. "The Inter-Rater and Intra-Rater Reliability of the Actual Aquatic Skills Test (AAST) for Assessing Young Children’s Motor Competence in the Water," IJERPH, MDPI, vol. 19(1), pages 1-22, December.

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