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Proportional agreement of positive and negative results

In some circumstances, particularly where the marginal totals of the 2-by-2 table are not balanced, kappa is not always a good measure of the true level of agreement between two tests ([#6 Feinstein and Cicchetti, 1990]). For example, in the first example above, kappa was only 0.74, compared to an overall proportion of agreement of 0.94 In these situations, the proportions of positive and negative agreement have been proposed as useful alternatives to kappa ([#3 Cicchetti and Feinstein, 1990]). For this example, the proportion of positive agreement was 0.78, compared to 0.96 for the proportion of negative agreement, suggesting that the main area of disagreement between the tests is in positive results and that agreement among negatives is very high.