Accord.Tests.Statistics.ShapiroWilkDistributionTest.ConstructorTest4 C# (CSharp) Method

        public void ConstructorTest4()
        {
            // Create a new Shapiro-Wilk's W for 5 samples
            var sw = new ShapiroWilkDistribution(samples: 5);

            double mean = sw.Mean;     // 0.81248567196628929
            double median = sw.Median; // 0.81248567196628929
            double mode = sw.Mode;     // 0.81248567196628929

            double cdf = sw.DistributionFunction(x: 0.84); // 0.83507812080728383
            double pdf = sw.ProbabilityDensityFunction(x: 0.84); // 0.82021062372326459
            double lpdf = sw.LogProbabilityDensityFunction(x: 0.84); // -0.1981941135071546

            double ccdf = sw.ComplementaryDistributionFunction(x: 0.84); // 0.16492187919271617
            double icdf = sw.InverseDistributionFunction(p: cdf); // 0.84000000194587177

            double hf = sw.HazardFunction(x: 0.84); // 4.9733281462602292
            double chf = sw.CumulativeHazardFunction(x: 0.84); // 1.8022833766369502

            string str = sw.ToString(CultureInfo.InvariantCulture); // W(x; n = 12)

            Assert.AreEqual(0.81248567196628929, mean);
            Assert.AreEqual(0.81248567196628929, mode);
            Assert.AreEqual(0.81248567196628929, median, 1e-8);
            Assert.AreEqual(1.8022833766369502, chf);
            Assert.AreEqual(0.83507812080728383, cdf);
            Assert.AreEqual(0.82021062372326459, pdf);
            Assert.AreEqual(-0.1981941135071546, lpdf);
            Assert.AreEqual(4.9733281462602292, hf);
            Assert.AreEqual(0.16492187919271617, ccdf);
            Assert.AreEqual(0.84000000194587177, icdf, 1e-8);
            Assert.AreEqual("W(x; n = 5)", str);

            var range1 = sw.GetRange(0.95);
            Assert.AreEqual(0.77509977845943778, range1.Min);
            Assert.AreEqual(0.98299906816568339, range1.Max);

            var range2 = sw.GetRange(0.99);
            Assert.AreEqual(0.70180031139628618, range2.Min);
            Assert.AreEqual(0.99334588234528642, range2.Max);

            var range3 = sw.GetRange(0.01);
            Assert.AreEqual(0.70180031139628618, range3.Min);
            Assert.AreEqual(0.99334588234528642, range3.Max);
        }
    }