Significance Test for the Measure of Raw Agreement

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 kappan. 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.