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* Licensed to the Apache Software Foundation (ASF) under one or more
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* contributor license agreements. See the NOTICE file distributed with
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* this work for additional information regarding copyright ownership.
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* The ASF licenses this file to You under the Apache License, Version 2.0
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* (the "License"); you may not use this file except in compliance with
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* the License. You may obtain a copy of the License at
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* http://www.apache.org/licenses/LICENSE-2.0
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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package org.apache.commons.math.distribution;
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import org.apache.commons.math.TestUtils;
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* Test cases for HyperGeometriclDistribution.
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* Extends IntegerDistributionAbstractTest. See class javadoc for
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* IntegerDistributionAbstractTest for details.
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* @version $Revision: 762087 $ $Date: 2009-04-05 10:20:18 -0400 (Sun, 05 Apr 2009) $
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public class HypergeometricDistributionTest extends IntegerDistributionAbstractTest {
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* Constructor for ChiSquareDistributionTest.
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public HypergeometricDistributionTest(String name) {
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//-------------- Implementations for abstract methods -----------------------
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/** Creates the default discrete distribution instance to use in tests. */
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public IntegerDistribution makeDistribution() {
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return new HypergeometricDistributionImpl(10,5, 5);
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/** Creates the default probability density test input values */
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public int[] makeDensityTestPoints() {
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return new int[] {-1, 0, 1, 2, 3, 4, 5, 10};
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/** Creates the default probability density test expected values */
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public double[] makeDensityTestValues() {
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return new double[] {0d, 0.003968d, 0.099206d, 0.396825d, 0.396825d,
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0.099206d, 0.003968d, 0d};
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/** Creates the default cumulative probability density test input values */
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public int[] makeCumulativeTestPoints() {
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return makeDensityTestPoints();
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/** Creates the default cumulative probability density test expected values */
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public double[] makeCumulativeTestValues() {
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return new double[] {0d, .003968d, .103175d, .50000d, .896825d, .996032d,
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/** Creates the default inverse cumulative probability test input values */
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public double[] makeInverseCumulativeTestPoints() {
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return new double[] {0d, 0.001d, 0.010d, 0.025d, 0.050d, 0.100d, 0.999d,
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0.990d, 0.975d, 0.950d, 0.900d, 1d};
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/** Creates the default inverse cumulative probability density test expected values */
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public int[] makeInverseCumulativeTestValues() {
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return new int[] {-1, -1, 0, 0, 0, 0, 4, 3, 3, 3, 3, 5};
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//-------------------- Additional test cases ------------------------------
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/** Verify that if there are no failures, mass is concentrated on sampleSize */
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public void testDegenerateNoFailures() throws Exception {
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setDistribution(new HypergeometricDistributionImpl(5,5,3));
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setCumulativeTestPoints(new int[] {-1, 0, 1, 3, 10 });
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setCumulativeTestValues(new double[] {0d, 0d, 0d, 1d, 1d});
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setDensityTestPoints(new int[] {-1, 0, 1, 3, 10});
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setDensityTestValues(new double[] {0d, 0d, 0d, 1d, 0d});
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setInverseCumulativeTestPoints(new double[] {0.1d, 0.5d});
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setInverseCumulativeTestValues(new int[] {2, 2});
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verifyCumulativeProbabilities();
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verifyInverseCumulativeProbabilities();
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/** Verify that if there are no successes, mass is concentrated on 0 */
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public void testDegenerateNoSuccesses() throws Exception {
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setDistribution(new HypergeometricDistributionImpl(5,0,3));
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setCumulativeTestPoints(new int[] {-1, 0, 1, 3, 10 });
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setCumulativeTestValues(new double[] {0d, 1d, 1d, 1d, 1d});
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setDensityTestPoints(new int[] {-1, 0, 1, 3, 10});
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setDensityTestValues(new double[] {0d, 1d, 0d, 0d, 0d});
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setInverseCumulativeTestPoints(new double[] {0.1d, 0.5d});
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setInverseCumulativeTestValues(new int[] {-1, -1});
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verifyCumulativeProbabilities();
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verifyInverseCumulativeProbabilities();
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/** Verify that if sampleSize = populationSize, mass is concentrated on numberOfSuccesses */
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public void testDegenerateFullSample() throws Exception {
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setDistribution(new HypergeometricDistributionImpl(5,3,5));
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setCumulativeTestPoints(new int[] {-1, 0, 1, 3, 10 });
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setCumulativeTestValues(new double[] {0d, 0d, 0d, 1d, 1d});
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setDensityTestPoints(new int[] {-1, 0, 1, 3, 10});
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setDensityTestValues(new double[] {0d, 0d, 0d, 1d, 0d});
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setInverseCumulativeTestPoints(new double[] {0.1d, 0.5d});
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setInverseCumulativeTestValues(new int[] {2, 2});
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verifyCumulativeProbabilities();
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verifyInverseCumulativeProbabilities();
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public void testPopulationSize() {
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HypergeometricDistribution dist = new HypergeometricDistributionImpl(5,3,5);
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dist.setPopulationSize(-1);
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fail("negative population size. IllegalArgumentException expected");
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} catch(IllegalArgumentException ex) {
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dist.setPopulationSize(10);
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assertEquals(10, dist.getPopulationSize());
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public void testLargeValues() {
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int populationSize = 3456;
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int sampleSize = 789;
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int numberOfSucceses = 101;
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{0.0, 2.75646034603961e-12, 2.75646034603961e-12, 1.0},
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{1.0, 8.55705370142386e-11, 8.83269973602783e-11, 0.999999999997244},
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{2.0, 1.31288129219665e-9, 1.40120828955693e-9, 0.999999999911673},
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{3.0, 1.32724172984193e-8, 1.46736255879763e-8, 0.999999998598792},
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{4.0, 9.94501711734089e-8, 1.14123796761385e-7, 0.999999985326375},
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{5.0, 5.89080768883643e-7, 7.03204565645028e-7, 0.999999885876203},
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{20.0, 0.0760051397707708, 0.27349758476299, 0.802507555007781},
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{21.0, 0.087144222047629, 0.360641806810619, 0.72650241523701},
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{22.0, 0.0940378846881819, 0.454679691498801, 0.639358193189381},
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{23.0, 0.0956897500614809, 0.550369441560282, 0.545320308501199},
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{24.0, 0.0919766921922999, 0.642346133752582, 0.449630558439718},
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{25.0, 0.083641637261095, 0.725987771013677, 0.357653866247418},
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{96.0, 5.93849188852098e-57, 1.0, 6.01900244560712e-57},
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{97.0, 7.96593036832547e-59, 1.0, 8.05105570861321e-59},
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{98.0, 8.44582921934367e-61, 1.0, 8.5125340287733e-61},
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{99.0, 6.63604297068222e-63, 1.0, 6.670480942963e-63},
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{100.0, 3.43501099007557e-65, 1.0, 3.4437972280786e-65},
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{101.0, 8.78623800302957e-68, 1.0, 8.78623800302957e-68},
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testHypergeometricDistributionProbabilities(populationSize, sampleSize, numberOfSucceses, data);
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private void testHypergeometricDistributionProbabilities(int populationSize, int sampleSize, int numberOfSucceses, double[][] data) {
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HypergeometricDistributionImpl dist = new HypergeometricDistributionImpl(populationSize, numberOfSucceses, sampleSize);
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for (int i = 0; i < data.length; ++i) {
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int x = (int)data[i][0];
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double pdf = data[i][1];
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double actualPdf = dist.probability(x);
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TestUtils.assertRelativelyEquals(pdf, actualPdf, 1.0e-9);
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double cdf = data[i][2];
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double actualCdf = dist.cumulativeProbability(x);
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TestUtils.assertRelativelyEquals(cdf, actualCdf, 1.0e-9);
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double cdf1 = data[i][3];
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double actualCdf1 = dist.upperCumulativeProbability(x);
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TestUtils.assertRelativelyEquals(cdf1, actualCdf1, 1.0e-9);
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public void testMoreLargeValues() {
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int populationSize = 26896;
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int sampleSize = 895;
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int numberOfSucceses = 55;
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{0.0, 0.155168304750504, 0.155168304750504, 1.0},
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{1.0, 0.29437545000746, 0.449543754757964, 0.844831695249496},
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{2.0, 0.273841321577003, 0.723385076334967, 0.550456245242036},
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{3.0, 0.166488572570786, 0.889873648905753, 0.276614923665033},
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{4.0, 0.0743969744713231, 0.964270623377076, 0.110126351094247},
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{5.0, 0.0260542785784855, 0.990324901955562, 0.0357293766229237},
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{20.0, 3.57101101678792e-16, 1.0, 3.78252101622096e-16},
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{21.0, 2.00551638598312e-17, 1.0, 2.11509999433041e-17},
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{22.0, 1.04317070180562e-18, 1.0, 1.09583608347287e-18},
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{23.0, 5.03153504903308e-20, 1.0, 5.266538166725e-20},
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{24.0, 2.2525984149695e-21, 1.0, 2.35003117691919e-21},
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{25.0, 9.3677424515947e-23, 1.0, 9.74327619496943e-23},
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{50.0, 9.83633962945521e-69, 1.0, 9.8677629437617e-69},
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{51.0, 3.13448949497553e-71, 1.0, 3.14233143064882e-71},
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{52.0, 7.82755221928122e-74, 1.0, 7.84193567329055e-74},
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{53.0, 1.43662126065532e-76, 1.0, 1.43834540093295e-76},
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{54.0, 1.72312692517348e-79, 1.0, 1.7241402776278e-79},
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{55.0, 1.01335245432581e-82, 1.0, 1.01335245432581e-82},
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testHypergeometricDistributionProbabilities(populationSize, sampleSize, numberOfSucceses, data);