A Revised Version of McNemar's Test for Paired Binary Data
In the formula of the McNemar test, a test on 2 × 2 classification tables with pairs of data, only the two categories A and D, which represent changes, are included; the retained parts B and C, which represent concordant responses, are not considered. Generally, it would be more reasonable for the significance of the changes to depend not only on A and D, but also on B and C, or on the sample size, n. To develop the test, two formulae, based on A, D, and n, and on A, D, B, C, and n, respectively, are proposed.