Significance Tests for the Measure of Raw Agreement

Alexander von Eye, Patrick Mair, Michael Schauerhuber

Publication: Working/Discussion PaperWU Working Paper

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Abstract

Significance tests for the measure of raw agreement are proposed. First, it is shown that the measure of raw agreement can be expressed as a proportionate reduction-in-error measure, sharing this characteristic with Cohen's Kappa and Brennan and Prediger's Kappa_n. Second, it is shown that the coefficient of raw agreement is linearly related to Brennan and Prediger's Kappa_n. Therefore, using the same base model for the estimation of expected cell frequencies as Brennan and Prediger's Kappa_n, one can devise significance tests for the measure of raw agreement. Two tests are proposed. The first uses Stouffer's Z, a probability pooler. The second test is the binomial test. A data example analyzes the agreement between two psychiatrists' diagnoses. The covariance structure of the agreement cells in a rater by rater table is described. Simulation studies show the performance and power functions of the test statistics. (author's abstract)

Publication series

SeriesResearch Report Series / Department of Statistics and Mathematics
Number42

WU Working Paper Series

  • Research Report Series / Department of Statistics and Mathematics

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