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411 lines
15 KiB
411 lines
15 KiB
// <copyright file="FisherSnedecorTests.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://numerics.mathdotnet.com
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// http://github.com/mathnet/mathnet-numerics
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//
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// Copyright (c) 2009-2016 Math.NET
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//
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// Permission is hereby granted, free of charge, to any person
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// obtaining a copy of this software and associated documentation
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// files (the "Software"), to deal in the Software without
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// restriction, including without limitation the rights to use,
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// copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following
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// conditions:
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//
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// The above copyright notice and this permission notice shall be
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// included in all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
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// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
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// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
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// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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// OTHER DEALINGS IN THE SOFTWARE.
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// </copyright>
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using System;
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using System.Linq;
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using MathNet.Numerics.Distributions;
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using NUnit.Framework;
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namespace MathNet.Numerics.UnitTests.DistributionTests.Continuous
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{
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/// <summary>
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/// Fisher-Snedecor distribution tests.
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/// </summary>
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[TestFixture, Category("Distributions")]
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public class FisherSnedecorTests
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{
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/// <summary>
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/// Can create fisher snedecor.
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/// </summary>
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/// <param name="d1">Degrees of freedom 1</param>
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/// <param name="d2">Degrees of freedom 2</param>
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[TestCase(0.1, 0.1)]
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[TestCase(1.0, 0.1)]
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[TestCase(10.0, 0.1)]
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[TestCase(Double.PositiveInfinity, 0.1)]
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[TestCase(0.1, 1.0)]
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[TestCase(1.0, 1.0)]
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[TestCase(10.0, 1.0)]
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[TestCase(Double.PositiveInfinity, 1.0)]
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[TestCase(0.1, Double.PositiveInfinity)]
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[TestCase(1.0, Double.PositiveInfinity)]
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[TestCase(10.0, Double.PositiveInfinity)]
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[TestCase(Double.PositiveInfinity, Double.PositiveInfinity)]
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public void CanCreateFisherSnedecor(double d1, double d2)
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{
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var n = new FisherSnedecor(d1, d2);
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Assert.AreEqual(d1, n.DegreesOfFreedom1);
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Assert.AreEqual(d2, n.DegreesOfFreedom2);
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}
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/// <summary>
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/// <c>FisherSnedecor</c> create fails with bad parameters.
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/// </summary>
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/// <param name="d1">Degrees of freedom 1</param>
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/// <param name="d2">Degrees of freedom 2</param>
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[TestCase(Double.NaN, Double.NaN)]
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[TestCase(0.0, Double.NaN)]
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[TestCase(-1.0, Double.NaN)]
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[TestCase(-10.0, Double.NaN)]
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[TestCase(Double.NaN, 0.0)]
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[TestCase(0.0, 0.0)]
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[TestCase(-1.0, 0.0)]
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[TestCase(-10.0, 0.0)]
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[TestCase(Double.NaN, -1.0)]
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[TestCase(0.0, -1.0)]
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[TestCase(-1.0, -1.0)]
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[TestCase(-10.0, -1.0)]
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[TestCase(Double.NaN, -10.0)]
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[TestCase(0.0, -10.0)]
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[TestCase(-1.0, -10.0)]
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[TestCase(-10.0, -10.0)]
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public void FisherSnedecorCreateFailsWithBadParameters(double d1, double d2)
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{
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Assert.That(() => new FisherSnedecor(d1, d2), Throws.ArgumentException);
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}
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/// <summary>
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/// Validate ToString.
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/// </summary>
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[Test]
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public void ValidateToString()
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{
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System.Threading.Thread.CurrentThread.CurrentCulture = System.Globalization.CultureInfo.InvariantCulture;
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var n = new FisherSnedecor(2d, 1d);
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Assert.AreEqual("FisherSnedecor(d1 = 2, d2 = 1)", n.ToString());
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}
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/// <summary>
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/// Validate mean.
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/// </summary>
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/// <param name="d1">Degrees of freedom 1</param>
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/// <param name="d2">Degrees of freedom 2</param>
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[TestCase(0.1, 0.1)]
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[TestCase(1.0, 0.1)]
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[TestCase(10.0, 0.1)]
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[TestCase(Double.PositiveInfinity, 0.1)]
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[TestCase(0.1, 1.0)]
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[TestCase(1.0, 1.0)]
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[TestCase(10.0, 1.0)]
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[TestCase(Double.PositiveInfinity, 1.0)]
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[TestCase(0.1, Double.PositiveInfinity)]
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[TestCase(1.0, Double.PositiveInfinity)]
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[TestCase(10.0, Double.PositiveInfinity)]
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[TestCase(Double.PositiveInfinity, Double.PositiveInfinity)]
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public void ValidateMean(double d1, double d2)
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{
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var n = new FisherSnedecor(d1, d2);
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if (d2 > 2)
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{
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Assert.AreEqual(d2 / (d2 - 2.0), n.Mean);
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}
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}
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/// <summary>
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/// Validate variance.
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/// </summary>
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/// <param name="d1">Degrees of freedom 1</param>
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/// <param name="d2">Degrees of freedom 2</param>
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[TestCase(0.1, 0.1)]
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[TestCase(1.0, 0.1)]
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[TestCase(10.0, 0.1)]
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[TestCase(Double.PositiveInfinity, 0.1)]
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[TestCase(0.1, 1.0)]
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[TestCase(1.0, 1.0)]
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[TestCase(10.0, 1.0)]
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[TestCase(Double.PositiveInfinity, 1.0)]
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[TestCase(0.1, Double.PositiveInfinity)]
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[TestCase(1.0, Double.PositiveInfinity)]
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[TestCase(10.0, Double.PositiveInfinity)]
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[TestCase(Double.PositiveInfinity, Double.PositiveInfinity)]
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public void ValidateVariance(double d1, double d2)
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{
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var n = new FisherSnedecor(d1, d2);
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if (d2 > 4)
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{
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Assert.AreEqual((2.0 * d2 * d2 * (d1 + d2 - 2.0)) / (d1 * (d2 - 2.0) * (d2 - 2.0) * (d2 - 4.0)), n.Variance);
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}
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}
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/// <summary>
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/// Validate standard deviation.
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/// </summary>
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/// <param name="d1">Degrees of freedom 1</param>
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/// <param name="d2">Degrees of freedom 2</param>
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[TestCase(0.1, 0.1)]
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[TestCase(1.0, 0.1)]
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[TestCase(10.0, 0.1)]
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[TestCase(Double.PositiveInfinity, 0.1)]
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[TestCase(0.1, 1.0)]
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[TestCase(1.0, 1.0)]
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[TestCase(10.0, 1.0)]
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[TestCase(Double.PositiveInfinity, 1.0)]
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[TestCase(0.1, Double.PositiveInfinity)]
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[TestCase(1.0, Double.PositiveInfinity)]
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[TestCase(10.0, Double.PositiveInfinity)]
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[TestCase(Double.PositiveInfinity, Double.PositiveInfinity)]
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public void ValidateStdDev(double d1, double d2)
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{
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var n = new FisherSnedecor(d1, d2);
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if (d2 > 4)
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{
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Assert.AreEqual(Math.Sqrt(n.Variance), n.StdDev);
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}
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}
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/// <summary>
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/// Validate entropy throws <c>NotSupportedException</c>.
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/// </summary>
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[Test]
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public void ValidateEntropyThrowsNotSupportedException()
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{
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var n = new FisherSnedecor(1.0, 2.0);
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Assert.Throws<NotSupportedException>(() => { var ent = n.Entropy; });
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}
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/// <summary>
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/// Validate skewness.
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/// </summary>
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/// <param name="d1">Degrees of freedom 1</param>
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/// <param name="d2">Degrees of freedom 2</param>
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[TestCase(0.1, 0.1)]
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[TestCase(1.0, 0.1)]
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[TestCase(10.0, 0.1)]
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[TestCase(Double.PositiveInfinity, 0.1)]
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[TestCase(0.1, 1.0)]
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[TestCase(1.0, 1.0)]
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[TestCase(10.0, 1.0)]
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[TestCase(Double.PositiveInfinity, 1.0)]
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[TestCase(0.1, Double.PositiveInfinity)]
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[TestCase(1.0, Double.PositiveInfinity)]
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[TestCase(10.0, Double.PositiveInfinity)]
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[TestCase(Double.PositiveInfinity, Double.PositiveInfinity)]
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public void ValidateSkewness(double d1, double d2)
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{
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var n = new FisherSnedecor(d1, d2);
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if (d2 > 6)
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{
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Assert.AreEqual((((2.0 * d1) + d2 - 2.0) * Math.Sqrt(8.0 * (d2 - 4.0))) / ((d2 - 6.0) * Math.Sqrt(d1 * (d1 + d2 - 2.0))), n.Skewness);
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}
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}
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/// <summary>
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/// Validate mode.
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/// </summary>
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/// <param name="d1">Degrees of freedom 1</param>
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/// <param name="d2">Degrees of freedom 2</param>
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[TestCase(0.1, 0.1)]
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[TestCase(1.0, 0.1)]
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[TestCase(10.0, 0.1)]
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[TestCase(100.0, 0.1)]
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[TestCase(0.1, 1.0)]
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[TestCase(1.0, 1.0)]
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[TestCase(10.0, 1.0)]
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[TestCase(100.0, 1.0)]
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[TestCase(0.1, 100.0)]
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[TestCase(1.0, 100.0)]
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[TestCase(10.0, 100.0)]
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[TestCase(100.0, 100.0)]
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public void ValidateMode(double d1, double d2)
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{
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var n = new FisherSnedecor(d1, d2);
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if (d1 > 2)
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{
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Assert.AreEqual((d2 * (d1 - 2.0)) / (d1 * (d2 + 2.0)), n.Mode);
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}
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}
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/// <summary>
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/// Validate median throws <c>NotSupportedException</c>.
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/// </summary>
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[Test]
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public void ValidateMedianThrowsNotSupportedException()
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{
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var n = new FisherSnedecor(1.0, 2.0);
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Assert.Throws<NotSupportedException>(() => { var m = n.Median; });
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}
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/// <summary>
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/// Validate minimum.
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/// </summary>
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[Test]
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public void ValidateMinimum()
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{
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var n = new FisherSnedecor(1.0, 2.0);
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Assert.AreEqual(0.0, n.Minimum);
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}
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/// <summary>
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/// Validate maximum.
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/// </summary>
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[Test]
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public void ValidateMaximum()
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{
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var n = new FisherSnedecor(1.0, 2.0);
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Assert.AreEqual(Double.PositiveInfinity, n.Maximum);
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}
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/// <summary>
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/// Validate density.
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/// </summary>
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/// <param name="d1">Degrees of freedom 1</param>
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/// <param name="d2">Degrees of freedom 2</param>
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/// <param name="x">Input X value</param>
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[TestCase(0.1, 0.1, 1.0)]
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[TestCase(1.0, 0.1, 1.0)]
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[TestCase(10.0, 0.1, 1.0)]
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[TestCase(100.0, 0.1, 1.0)]
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[TestCase(0.1, 1.0, 1.0)]
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[TestCase(1.0, 1.0, 1.0)]
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[TestCase(10.0, 1.0, 1.0)]
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[TestCase(100.0, 1.0, 1.0)]
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[TestCase(0.1, 100.0, 1.0)]
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[TestCase(1.0, 100.0, 1.0)]
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[TestCase(10.0, 100.0, 1.0)]
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[TestCase(100.0, 100.0, 1.0)]
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[TestCase(0.1, 0.1, 10.0)]
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[TestCase(1.0, 0.1, 10.0)]
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[TestCase(10.0, 0.1, 10.0)]
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[TestCase(100.0, 0.1, 10.0)]
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[TestCase(0.1, 1.0, 10.0)]
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[TestCase(1.0, 1.0, 10.0)]
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[TestCase(10.0, 1.0, 10.0)]
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[TestCase(100.0, 1.0, 10.0)]
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[TestCase(0.1, 100.0, 10.0)]
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[TestCase(1.0, 100.0, 10.0)]
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[TestCase(10.0, 100.0, 10.0)]
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[TestCase(100.0, 100.0, 10.0)]
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public void ValidateDensity(double d1, double d2, double x)
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{
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var n = new FisherSnedecor(d1, d2);
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double expected = Math.Sqrt(Math.Pow(d1*x, d1)*Math.Pow(d2, d2)/Math.Pow((d1*x) + d2, d1 + d2))/(x*SpecialFunctions.Beta(d1/2.0, d2/2.0));
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Assert.AreEqual(expected, n.Density(x));
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Assert.AreEqual(expected, FisherSnedecor.PDF(d1, d2, x));
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}
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/// <summary>
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/// Validate density log.
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/// </summary>
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/// <param name="d1">Degrees of freedom 1</param>
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/// <param name="d2">Degrees of freedom 2</param>
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/// <param name="x">Input X value</param>
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[TestCase(0.1, 0.1, 1.0)]
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[TestCase(1.0, 0.1, 1.0)]
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[TestCase(10.0, 0.1, 1.0)]
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[TestCase(100.0, 0.1, 1.0)]
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[TestCase(0.1, 1.0, 1.0)]
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[TestCase(1.0, 1.0, 1.0)]
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[TestCase(10.0, 1.0, 1.0)]
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[TestCase(100.0, 1.0, 1.0)]
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[TestCase(0.1, 100.0, 1.0)]
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[TestCase(1.0, 100.0, 1.0)]
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[TestCase(10.0, 100.0, 1.0)]
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[TestCase(100.0, 100.0, 1.0)]
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[TestCase(0.1, 0.1, 10.0)]
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[TestCase(1.0, 0.1, 10.0)]
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[TestCase(10.0, 0.1, 10.0)]
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[TestCase(100.0, 0.1, 10.0)]
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[TestCase(0.1, 1.0, 10.0)]
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[TestCase(1.0, 1.0, 10.0)]
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[TestCase(10.0, 1.0, 10.0)]
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[TestCase(100.0, 1.0, 10.0)]
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[TestCase(0.1, 100.0, 10.0)]
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[TestCase(1.0, 100.0, 10.0)]
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[TestCase(10.0, 100.0, 10.0)]
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[TestCase(100.0, 100.0, 10.0)]
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public void ValidateDensityLn(double d1, double d2, double x)
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{
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var n = new FisherSnedecor(d1, d2);
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double expected = Math.Log(Math.Sqrt(Math.Pow(d1*x, d1)*Math.Pow(d2, d2)/Math.Pow((d1*x) + d2, d1 + d2))/(x*SpecialFunctions.Beta(d1/2.0, d2/2.0)));
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Assert.AreEqual(expected, n.DensityLn(x));
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Assert.AreEqual(expected, FisherSnedecor.PDFLn(d1, d2, x));
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}
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/// <summary>
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/// Can sample.
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/// </summary>
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[Test]
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public void CanSample()
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{
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var n = new FisherSnedecor(1.0, 2.0);
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n.Sample();
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}
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/// <summary>
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/// Can sample sequence.
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/// </summary>
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[Test]
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public void CanSampleSequence()
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{
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var n = new FisherSnedecor(1.0, 2.0);
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var ied = n.Samples();
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GC.KeepAlive(ied.Take(5).ToArray());
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}
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[TestCase(0.1, 0.1, 1.0)]
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[TestCase(1.0, 0.1, 1.0)]
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[TestCase(10.0, 0.1, 1.0)]
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[TestCase(0.1, 1.0, 1.0)]
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[TestCase(1.0, 1.0, 1.0)]
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[TestCase(10.0, 1.0, 1.0)]
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[TestCase(0.1, 0.1, 10.0)]
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[TestCase(1.0, 0.1, 10.0)]
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[TestCase(10.0, 0.1, 10.0)]
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[TestCase(0.1, 1.0, 10.0)]
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[TestCase(1.0, 1.0, 10.0)]
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[TestCase(10.0, 1.0, 10.0)]
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public void ValidateCumulativeDistribution(double d1, double d2, double x)
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{
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var n = new FisherSnedecor(d1, d2);
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double expected = SpecialFunctions.BetaRegularized(d1/2.0, d2/2.0, d1*x/(d2 + (x*d1)));
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Assert.That(n.CumulativeDistribution(x), Is.EqualTo(expected));
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Assert.That(FisherSnedecor.CDF(d1, d2, x), Is.EqualTo(expected));
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}
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[TestCase(0.1, 0.1, 1.0)]
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[TestCase(1.0, 0.1, 1.0)]
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[TestCase(10.0, 0.1, 1.0)]
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[TestCase(0.1, 1.0, 1.0)]
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[TestCase(1.0, 1.0, 1.0)]
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[TestCase(10.0, 1.0, 1.0)]
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[TestCase(0.1, 0.1, 10.0)]
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[TestCase(1.0, 0.1, 10.0)]
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[TestCase(10.0, 0.1, 10.0)]
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[TestCase(0.1, 1.0, 10.0)]
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[TestCase(1.0, 1.0, 10.0)]
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[TestCase(10.0, 1.0, 10.0)]
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public void ValidateInverseCumulativeDistribution(double d1, double d2, double x)
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{
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var n = new FisherSnedecor(d1, d2);
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double p = SpecialFunctions.BetaRegularized(d1/2.0, d2/2.0, d1*x/(d2 + (x*d1)));
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Assert.That(n.InverseCumulativeDistribution(p), Is.EqualTo(x).Within(1e-8));
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Assert.That(FisherSnedecor.InvCDF(d1, d2, p), Is.EqualTo(x).Within(1e-8));
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}
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}
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}
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