Accord.Tests.Statistics.GeneralConfusionMatrixTest.KappaVarianceTest3 C# (CSharp) Method

        public void KappaVarianceTest3()
        {
            // Example from J. L. Fleiss, J. Cohen, B. S. Everitt, "Large sample
            //  standard errors of kappa and weighted kappa" Psychological Bulletin (1969)
            //  Volume: 72, Issue: 5, American Psychological Association, Pages: 323-327

            // This was the paper which presented the finally correct
            // large sample variance for Kappa after so many attempts.


            double[,] matrix =
            {
                { 0.53,  0.05,  0.02 },
                { 0.11,  0.14,  0.05 },
                { 0.01,  0.06,  0.03 },
            };

            GeneralConfusionMatrix a = new GeneralConfusionMatrix(matrix, 200);

            Assert.AreEqual(a.RowProportions[0], .60, 1e-10);
            Assert.AreEqual(a.RowProportions[1], .30, 1e-10);
            Assert.AreEqual(a.RowProportions[2], .10, 1e-10);

            Assert.AreEqual(a.ColumnProportions[0], .65, 1e-10);
            Assert.AreEqual(a.ColumnProportions[1], .25, 1e-10);
            Assert.AreEqual(a.ColumnProportions[2], .10, 1e-10);


            Assert.AreEqual(0.429, a.Kappa, 1e-3);
            Assert.IsFalse(double.IsNaN(a.Kappa));


            Assert.AreEqual(0.002885, a.Variance, 1e-6);
            Assert.AreEqual(0.003082, a.VarianceUnderNull, 1e-6);


            Assert.IsFalse(double.IsNaN(a.Variance));
            Assert.IsFalse(double.IsNaN(a.VarianceUnderNull));
        }