Le 30/12/2010 16:18, Luc Maisonobe a écrit :
> Le 30/12/2010 11:00, Mikkel Meyer Andersen a écrit :
>> Hi,
> 
> Hi Mikkel,
> 
>>
>> This commit consists of new files, so I put
>> @version $Revision: $ $Date: $
>> in the top. I thought SVN would then auto update these, but after
>> checking out again to see if it worked, I see that it didn't. What
>> should I do to make it work? Fire a svn propXXX, use other variables,
>> or?
> 
> You should set some properties. The ones we traditionally use are:
>  svn:eol-style=native
>  svn:keywords="Author Date Id Revision"

Well, in fact we have a policy not to use Author, but rather to put the
author names in the contibutor and developpers sections of the pom.xml file.

Luc

> 
> One way to have these properties automatically set is to use a "config"
> file in subversion configuration folder. I have put the file I use here:
> <http://people.apache.org/~luc/config>.
> 
> I think the file is used only for newly created files, so now that the
> files are already in the repository, you should probably set the
> properties manually.
> 
> best regards,
> Luc
> 
>>
>> Cheers, Mikkel.
>>
>> 2010/12/30  <m...@apache.org>:
>>> Author: mikl
>>> Date: Thu Dec 30 09:52:00 2010
>>> New Revision: 1053836
>>>
>>> URL: http://svn.apache.org/viewvc?rev=1053836&view=rev
>>> Log:
>>> Starting point for fixing MATH-431. Still some validation tests and 
>>> documentation are missing.
>>>
>>> Added:
>>>    
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTest.java
>>>    
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTestImpl.java
>>>    
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTest.java
>>>    
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestImpl.java
>>>    
>>> commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/MannWhitneyUTestTest.java
>>>    
>>> commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestTest.java
>>>
>>> Added: 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTest.java
>>> URL: 
>>> http://svn.apache.org/viewvc/commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTest.java?rev=1053836&view=auto
>>> ==============================================================================
>>> --- 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTest.java
>>>  (added)
>>> +++ 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTest.java
>>>  Thu Dec 30 09:52:00 2010
>>> @@ -0,0 +1,96 @@
>>> +/*
>>> + * Licensed to the Apache Software Foundation (ASF) under one or more
>>> + * contributor license agreements.  See the NOTICE file distributed with
>>> + * this work for additional information regarding copyright ownership.
>>> + * The ASF licenses this file to You under the Apache License, Version 2.0
>>> + * (the "License"); you may not use this file except in compliance with
>>> + * the License.  You may obtain a copy of the License at
>>> + *
>>> + *      http://www.apache.org/licenses/LICENSE-2.0
>>> + *
>>> + * Unless required by applicable law or agreed to in writing, software
>>> + * distributed under the License is distributed on an "AS IS" BASIS,
>>> + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
>>> + * See the License for the specific language governing permissions and
>>> + * limitations under the License.
>>> + */
>>> +package org.apache.commons.math.stat.inference;
>>> +
>>> +import org.apache.commons.math.MathException;
>>> +
>>> +/**
>>> + * An interface for Mann-Whitney U test (also called Wilcoxon rank-sum 
>>> test).
>>> + *
>>> + * @version $Revision: $ $Date: $
>>> + */
>>> +public interface MannWhitneyUTest {
>>> +
>>> +    /**
>>> +     * Computes the <a
>>> +     * href="http://en.wikipedia.org/wiki/Mann%E2%80%93Whitney_U";> 
>>> Mann-Whitney
>>> +     * U statistic</a> comparing mean for two independent samples possibly 
>>> of
>>> +     * different length.
>>> +     * <p>
>>> +     * This statistic can be used to perform a Mann-Whitney U test 
>>> evaluating
>>> +     * the null hypothesis that the two independent samples has equal mean.
>>> +     * </p>
>>> +     * <p>
>>> +     * Let X<sub>i</sub> denote the i'th individual of the first sample and
>>> +     * Y<sub>j</sub> the j'th individual in the second sample. Note that 
>>> the
>>> +     * samples would often have different length.
>>> +     * </p>
>>> +     * <p>
>>> +     * <strong>Preconditions</strong>:
>>> +     * <ul>
>>> +     * <li>All observations in the two samples are independent.</li>
>>> +     * <li>The observations are at least ordinal (continuous are also 
>>> ordinal).</li>
>>> +     * </ul>
>>> +     * </p>
>>> +     *
>>> +     * @param x
>>> +     *            the first sample
>>> +     * @param y
>>> +     *            the second sample
>>> +     * @return mannWhitneyU statistic
>>> +     * @throws IllegalArgumentException
>>> +     *             if preconditions are not met
>>> +     */
>>> +    double mannWhitneyU(final double[] x, final double[] y)
>>> +            throws IllegalArgumentException;
>>> +
>>> +    /**
>>> +     * Returns the asymptotic <i>observed significance level</i>, or <a 
>>> href=
>>> +     * "http://www.cas.lancs.ac.uk/glossary_v1.1/hyptest.html#pvalue";>
>>> +     * p-value</a>, associated with a <a
>>> +     * href="http://en.wikipedia.org/wiki/Mann%E2%80%93Whitney_U";> 
>>> Mann-Whitney
>>> +     * U statistic</a> comparing mean for two independent samples.
>>> +     * <p>
>>> +     * Let X<sub>i</sub> denote the i'th individual of the first sample and
>>> +     * Y<sub>j</sub> the j'th individual in the second sample. Note that 
>>> the
>>> +     * samples would often have different length.
>>> +     * </p>
>>> +     * <p>
>>> +     * <strong>Preconditions</strong>:
>>> +     * <ul>
>>> +     * <li>All observations in the two samples are independent.</li>
>>> +     * <li>The observations are at least ordinal (continuous are also 
>>> ordinal).</li>
>>> +     * </ul>
>>> +     * </p>
>>> +     *
>>> +     * @param x
>>> +     *            the first sample
>>> +     * @param y
>>> +     *            the second sample
>>> +     * @param exactPValue
>>> +     *            if the exact p-value is wanted (only works for x.length 
>>> <= 30,
>>> +     *            if true and x.length > 30, this is ignored because
>>> +     *            calculations may take too long)
>>> +     * @return asymptotic p-value
>>> +     * @throws IllegalArgumentException
>>> +     *             if preconditions are not met
>>> +     * @throws MathException
>>> +     *             if an error occurs computing the p-value
>>> +     */
>>> +    double mannWhitneyUTest(final double[] x, final double[] y)
>>> +            throws IllegalArgumentException, MathException;
>>> +}
>>>
>>> Added: 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTestImpl.java
>>> URL: 
>>> http://svn.apache.org/viewvc/commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTestImpl.java?rev=1053836&view=auto
>>> ==============================================================================
>>> --- 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTestImpl.java
>>>  (added)
>>> +++ 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/MannWhitneyUTestImpl.java
>>>  Thu Dec 30 09:52:00 2010
>>> @@ -0,0 +1,199 @@
>>> +/*
>>> + * Licensed to the Apache Software Foundation (ASF) under one or more
>>> + * contributor license agreements.  See the NOTICE file distributed with
>>> + * this work for additional information regarding copyright ownership.
>>> + * The ASF licenses this file to You under the Apache License, Version 2.0
>>> + * (the "License"); you may not use this file except in compliance with
>>> + * the License.  You may obtain a copy of the License at
>>> + *
>>> + *      http://www.apache.org/licenses/LICENSE-2.0
>>> + *
>>> + * Unless required by applicable law or agreed to in writing, software
>>> + * distributed under the License is distributed on an "AS IS" BASIS,
>>> + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
>>> + * See the License for the specific language governing permissions and
>>> + * limitations under the License.
>>> + */
>>> +package org.apache.commons.math.stat.inference;
>>> +
>>> +import org.apache.commons.math.MathException;
>>> +import org.apache.commons.math.distribution.NormalDistributionImpl;
>>> +import org.apache.commons.math.stat.ranking.NaNStrategy;
>>> +import org.apache.commons.math.stat.ranking.NaturalRanking;
>>> +import org.apache.commons.math.stat.ranking.TiesStrategy;
>>> +import org.apache.commons.math.util.FastMath;
>>> +
>>> +/**
>>> + * An implementation of the Mann-Whitney U test (also called Wilcoxon 
>>> rank-sum
>>> + * test).
>>> + *
>>> + * @version $Revision: $ $Date: $
>>> + */
>>> +public class MannWhitneyUTestImpl implements MannWhitneyUTest {
>>> +    private NaturalRanking naturalRanking;
>>> +
>>> +    /**
>>> +     * Create a test instance using where NaN's are left in place and ties 
>>> get
>>> +     * the average of applicable ranks. Use this unless you are very sure 
>>> of
>>> +     * what you are doing.
>>> +     */
>>> +    public MannWhitneyUTestImpl() {
>>> +        naturalRanking = new NaturalRanking(NaNStrategy.FIXED,
>>> +                TiesStrategy.AVERAGE);
>>> +    }
>>> +
>>> +    /**
>>> +     * Create a test instance using the given strategies for NaN's and 
>>> ties.
>>> +     * Only use this if you are sure of what you are doing.
>>> +     *
>>> +     * @param nanStrategy
>>> +     *            specifies the strategy that should be used for 
>>> Double.NaN's
>>> +     * @param tiesStrategy
>>> +     *            specifies the strategy that should be used for ties
>>> +     */
>>> +    public MannWhitneyUTestImpl(NaNStrategy nanStrategy,
>>> +            TiesStrategy tiesStrategy) {
>>> +        naturalRanking = new NaturalRanking(nanStrategy, tiesStrategy);
>>> +    }
>>> +
>>> +    /**
>>> +     * Ensures that the provided arrays fulfills the assumptions.
>>> +     *
>>> +     * @param x
>>> +     * @param y
>>> +     * @throws IllegalArgumentException
>>> +     *             if assumptions are not met
>>> +     */
>>> +    private void ensureDataConformance(final double[] x, final double[] y)
>>> +            throws IllegalArgumentException {
>>> +        if (x == null) {
>>> +            throw new IllegalArgumentException("x must not be null");
>>> +        }
>>> +
>>> +        if (y == null) {
>>> +            throw new IllegalArgumentException("y must not be null");
>>> +        }
>>> +
>>> +        if (x.length == 0) {
>>> +            throw new IllegalArgumentException(
>>> +                    "x must contain at least one element");
>>> +        }
>>> +
>>> +        if (y.length == 0) {
>>> +            throw new IllegalArgumentException(
>>> +                    "y must contain at least one element");
>>> +        }
>>> +    }
>>> +
>>> +    private double[] concatinateSamples(final double[] x, final double[] 
>>> y) {
>>> +        final double[] z = new double[x.length + y.length];
>>> +
>>> +        System.arraycopy(x, 0, z, 0, x.length);
>>> +        System.arraycopy(y, 0, z, x.length, y.length);
>>> +
>>> +        return z;
>>> +    }
>>> +
>>> +    /**
>>> +     * {...@inheritdoc}
>>> +     *
>>> +     * @param x
>>> +     *            the first sample
>>> +     * @param y
>>> +     *            the second sample
>>> +     * @return mannWhitneyU statistic U (maximum of U<sup>x</sup> and 
>>> U<sup>y</sup>)
>>> +     * @throws IllegalArgumentException
>>> +     *             if preconditions are not met
>>> +     */
>>> +    public double mannWhitneyU(final double[] x, final double[] y)
>>> +            throws IllegalArgumentException {
>>> +
>>> +        ensureDataConformance(x, y);
>>> +
>>> +        final double[] z = concatinateSamples(x, y);
>>> +        final double[] ranks = naturalRanking.rank(z);
>>> +
>>> +        double sumRankX = 0;
>>> +
>>> +        /*
>>> +         * The ranks for x is in the first x.length entries in ranks 
>>> because x
>>> +         * is in the first x.length entries in z
>>> +         */
>>> +        for (int i = 0; i < x.length; ++i) {
>>> +            sumRankX += ranks[i];
>>> +        }
>>> +
>>> +        /*
>>> +         * U1 = R1 - (n1 * (n1 + 1)) / 2 where R1 is sum of ranks for 
>>> sample 1,
>>> +         * e.g. x, n1 is the number of observations in sample 1.
>>> +         */
>>> +        final double U1 = sumRankX - (x.length * (x.length + 1)) / 2;
>>> +
>>> +        /*
>>> +         * It can be shown that U1 + U2 = n1 * n2
>>> +         */
>>> +        final double U2 = x.length * y.length - U1;
>>> +
>>> +        return FastMath.max(U1, U2);
>>> +    }
>>> +
>>> +    /**
>>> +     * @param Umin
>>> +     *            smallest Mann-Whitney U value
>>> +     * @param N
>>> +     *            number of subjects (corresponding to x.length)
>>> +     * @return two-sided asymptotic p-value
>>> +     * @throws MathException
>>> +     *             if an error occurs computing the p-value
>>> +     */
>>> +    private double calculateAsymptoticPValue(final double Umin, final int 
>>> n1,
>>> +            final int n2) throws MathException {
>>> +
>>> +        final int n1n2prod = n1 * n2;
>>> +
>>> +        // 
>>> http://en.wikipedia.org/wiki/Mann%E2%80%93Whitney_U#Normal_approximation
>>> +        final double EU = (double) n1n2prod / 2.0;
>>> +        final double VarU = (double) (n1n2prod * (n1 + n2 + 1)) / 12.0;
>>> +
>>> +        final double z = (Umin - EU) / FastMath.sqrt(VarU);
>>> +
>>> +        final NormalDistributionImpl standardNormal = new 
>>> NormalDistributionImpl(
>>> +                0, 1);
>>> +
>>> +        return 2 * standardNormal.cumulativeProbability(z);
>>> +    }
>>> +
>>> +    /**
>>> +     * Ties give rise to biased variance at the moment. See e.g. <a
>>> +     * href="http://mlsc.lboro.ac.uk/resources/statistics/Mannwhitney.pdf";
>>> +     * >http://mlsc.lboro.ac.uk/resources/statistics/Mannwhitney.pdf</a>.
>>> +     *
>>> +     * {...@inheritdoc}
>>> +     *
>>> +     * @param x
>>> +     *            the first sample
>>> +     * @param y
>>> +     *            the second sample
>>> +     * @param exactPValue
>>> +     *            if the exact p-value is wanted (only for x.length <= 50)
>>> +     * @return asymptotic p-value (biased for samples with ties)
>>> +     * @throws IllegalArgumentException
>>> +     *             if preconditions are not met
>>> +     * @throws MathException
>>> +     *             if an error occurs computing the p-value
>>> +     */
>>> +    public double mannWhitneyUTest(final double[] x, final double[] y)
>>> +            throws IllegalArgumentException, MathException {
>>> +
>>> +        ensureDataConformance(x, y);
>>> +
>>> +        final double Umax = mannWhitneyU(x, y);
>>> +
>>> +        /*
>>> +         * It can be shown that U1 + U2 = n1 * n2
>>> +         */
>>> +        final double Umin = x.length * y.length - Umax;
>>> +
>>> +        return calculateAsymptoticPValue(Umin, x.length, y.length);
>>> +    }
>>> +}
>>>
>>> Added: 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTest.java
>>> URL: 
>>> http://svn.apache.org/viewvc/commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTest.java?rev=1053836&view=auto
>>> ==============================================================================
>>> --- 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTest.java
>>>  (added)
>>> +++ 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTest.java
>>>  Thu Dec 30 09:52:00 2010
>>> @@ -0,0 +1,107 @@
>>> +/*
>>> + * Licensed to the Apache Software Foundation (ASF) under one or more
>>> + * contributor license agreements.  See the NOTICE file distributed with
>>> + * this work for additional information regarding copyright ownership.
>>> + * The ASF licenses this file to You under the Apache License, Version 2.0
>>> + * (the "License"); you may not use this file except in compliance with
>>> + * the License.  You may obtain a copy of the License at
>>> + *
>>> + *      http://www.apache.org/licenses/LICENSE-2.0
>>> + *
>>> + * Unless required by applicable law or agreed to in writing, software
>>> + * distributed under the License is distributed on an "AS IS" BASIS,
>>> + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
>>> + * See the License for the specific language governing permissions and
>>> + * limitations under the License.
>>> + */
>>> +package org.apache.commons.math.stat.inference;
>>> +
>>> +import org.apache.commons.math.MathException;
>>> +
>>> +/**
>>> + * An interface for Wilcoxon signed-rank test.
>>> + *
>>> + * @version $Revision: $ $Date: $
>>> + */
>>> +public interface WilcoxonSignedRankTest {
>>> +
>>> +    /**
>>> +     * Computes the <a
>>> +     * href="http://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test";>
>>> +     * Wilcoxon signed ranked statistic</a> comparing mean for two related
>>> +     * samples or repeated measurements on a single sample.
>>> +     * <p>
>>> +     * This statistic can be used to perform a Wilcoxon signed ranked test
>>> +     * evaluating the null hypothesis that the two related samples or 
>>> repeated
>>> +     * measurements on a single sample has equal mean.
>>> +     * </p>
>>> +     * <p>
>>> +     * Let X<sub>i</sub> denote the i'th individual of the first sample and
>>> +     * Y<sub>i</sub> the related i'th individual in the second sample. Let
>>> +     * Z<sub>i</sub> = Y<sub>i</sub> - X<sub>i</sub>.
>>> +     * </p>
>>> +     * <p>
>>> +     * <strong>Preconditions</strong>:
>>> +     * <ul>
>>> +     * <li>The differences Z<sub>i</sub> must be independent.</li>
>>> +     * <li>Each Z<sub>i</sub> comes from a continuous population (they 
>>> must be
>>> +     * identical) and is symmetric about a common median.</li>
>>> +     * <li>The values that X<sub>i</sub> and Y<sub>i</sub> represent are
>>> +     * ordered, so the comparisons greater than, less than, and equal to 
>>> are
>>> +     * meaningful.</li>
>>> +     * </ul>
>>> +     * </p>
>>> +     *
>>> +     * @param x
>>> +     *            the first sample
>>> +     * @param y
>>> +     *            the second sample
>>> +     * @return wilcoxonSignedRank statistic
>>> +     * @throws IllegalArgumentException
>>> +     *             if preconditions are not met
>>> +     */
>>> +    double wilcoxonSignedRank(final double[] x, final double[] y)
>>> +            throws IllegalArgumentException;
>>> +
>>> +    /**
>>> +     * Returns the <i>observed significance level</i>, or <a href=
>>> +     * "http://www.cas.lancs.ac.uk/glossary_v1.1/hyptest.html#pvalue";>
>>> +     * p-value</a>, associated with a <a
>>> +     * href="http://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test";>
>>> +     * Wilcoxon signed ranked statistic</a> comparing mean for two related
>>> +     * samples or repeated measurements on a single sample.
>>> +     * <p>
>>> +     * Let X<sub>i</sub> denote the i'th individual of the first sample and
>>> +     * Y<sub>i</sub> the related i'th individual in the second sample. Let
>>> +     * Z<sub>i</sub> = Y<sub>i</sub> - X<sub>i</sub>.
>>> +     * </p>
>>> +     * <p>
>>> +     * <strong>Preconditions</strong>:
>>> +     * <ul>
>>> +     * <li>The differences Z<sub>i</sub> must be independent.</li>
>>> +     * <li>Each Z<sub>i</sub> comes from a continuous population (they 
>>> must be
>>> +     * identical) and is symmetric about a common median.</li>
>>> +     * <li>The values that X<sub>i</sub> and Y<sub>i</sub> represent are
>>> +     * ordered, so the comparisons greater than, less than, and equal to 
>>> are
>>> +     * meaningful.</li>
>>> +     * </ul>
>>> +     * </p>
>>> +     *
>>> +     * @param x
>>> +     *            the first sample
>>> +     * @param y
>>> +     *            the second sample
>>> +     * @param exactPValue
>>> +     *            if the exact p-value is wanted (only works for x.length 
>>> <= 30,
>>> +     *            if true and x.length > 30, this is ignored because
>>> +     *            calculations may take too long)
>>> +     * @return p-value
>>> +     * @throws IllegalArgumentException
>>> +     *             if preconditions are not met
>>> +     * @throws MathException
>>> +     *             if an error occurs computing the p-value
>>> +     */
>>> +    double wilcoxonSignedRankTest(final double[] x, final double[] y,
>>> +            boolean exactPValue) throws IllegalArgumentException,
>>> +            MathException;
>>> +}
>>>
>>> Added: 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestImpl.java
>>> URL: 
>>> http://svn.apache.org/viewvc/commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestImpl.java?rev=1053836&view=auto
>>> ==============================================================================
>>> --- 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestImpl.java
>>>  (added)
>>> +++ 
>>> commons/proper/math/trunk/src/main/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestImpl.java
>>>  Thu Dec 30 09:52:00 2010
>>> @@ -0,0 +1,271 @@
>>> +/*
>>> + * Licensed to the Apache Software Foundation (ASF) under one or more
>>> + * contributor license agreements.  See the NOTICE file distributed with
>>> + * this work for additional information regarding copyright ownership.
>>> + * The ASF licenses this file to You under the Apache License, Version 2.0
>>> + * (the "License"); you may not use this file except in compliance with
>>> + * the License.  You may obtain a copy of the License at
>>> + *
>>> + *      http://www.apache.org/licenses/LICENSE-2.0
>>> + *
>>> + * Unless required by applicable law or agreed to in writing, software
>>> + * distributed under the License is distributed on an "AS IS" BASIS,
>>> + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
>>> + * See the License for the specific language governing permissions and
>>> + * limitations under the License.
>>> + */
>>> +package org.apache.commons.math.stat.inference;
>>> +
>>> +import org.apache.commons.math.MathException;
>>> +import org.apache.commons.math.distribution.NormalDistributionImpl;
>>> +import org.apache.commons.math.stat.ranking.NaNStrategy;
>>> +import org.apache.commons.math.stat.ranking.NaturalRanking;
>>> +import org.apache.commons.math.stat.ranking.TiesStrategy;
>>> +import org.apache.commons.math.util.FastMath;
>>> +
>>> +/**
>>> + * An implementation of the Wilcoxon signed-rank test.
>>> + *
>>> + * @version $Revision: $ $Date: $
>>> + */
>>> +public class WilcoxonSignedRankTestImpl implements WilcoxonSignedRankTest {
>>> +    private NaturalRanking naturalRanking;
>>> +
>>> +    /**
>>> +     * Create a test instance where NaN's are left in place and ties get
>>> +     * the average of applicable ranks. Use this unless you are very sure
>>> +     * of what you are doing.
>>> +     */
>>> +    public WilcoxonSignedRankTestImpl() {
>>> +        naturalRanking = new NaturalRanking(NaNStrategy.FIXED,
>>> +                TiesStrategy.AVERAGE);
>>> +    }
>>> +
>>> +    /**
>>> +     * Create a test instance using the given strategies for NaN's and 
>>> ties.
>>> +     * Only use this if you are sure of what you are doing.
>>> +     *
>>> +     * @param nanStrategy
>>> +     *            specifies the strategy that should be used for 
>>> Double.NaN's
>>> +     * @param tiesStrategy
>>> +     *            specifies the strategy that should be used for ties
>>> +     */
>>> +    public WilcoxonSignedRankTestImpl(NaNStrategy nanStrategy,
>>> +            TiesStrategy tiesStrategy) {
>>> +        naturalRanking = new NaturalRanking(nanStrategy, tiesStrategy);
>>> +    }
>>> +
>>> +    /**
>>> +     * Ensures that the provided arrays fulfills the assumptions.
>>> +     *
>>> +     * @param x
>>> +     * @param y
>>> +     * @throws IllegalArgumentException
>>> +     *             if assumptions are not met
>>> +     */
>>> +    private void ensureDataConformance(final double[] x, final double[] y)
>>> +            throws IllegalArgumentException {
>>> +        if (x == null) {
>>> +            throw new IllegalArgumentException("x must not be null");
>>> +        }
>>> +
>>> +        if (y == null) {
>>> +            throw new IllegalArgumentException("y must not be null");
>>> +        }
>>> +
>>> +        if (x.length != y.length) {
>>> +            throw new IllegalArgumentException(
>>> +                    "x and y must contain the same number of elements");
>>> +        }
>>> +
>>> +        if (x.length == 0) {
>>> +            throw new IllegalArgumentException(
>>> +                    "x and y must contain at least one element");
>>> +        }
>>> +    }
>>> +
>>> +    /**
>>> +     * Calculates y[i] - x[i] for all i
>>> +     *
>>> +     * @param x
>>> +     * @param y
>>> +     * @throws IllegalArgumentException
>>> +     *             if assumptions are not met
>>> +     */
>>> +    private double[] calculateDifferences(final double[] x, final double[] 
>>> y)
>>> +            throws IllegalArgumentException {
>>> +
>>> +        final double[] z = new double[x.length];
>>> +
>>> +        for (int i = 0; i < x.length; ++i) {
>>> +            z[i] = y[i] - x[i];
>>> +        }
>>> +
>>> +        return z;
>>> +    }
>>> +
>>> +    /**
>>> +     * Calculates |z[i]| for all i
>>> +     *
>>> +     * @param z
>>> +     * @throws IllegalArgumentException
>>> +     *             if assumptions are not met
>>> +     */
>>> +    private double[] calculateAbsoluteDifferences(final double[] z)
>>> +            throws IllegalArgumentException {
>>> +        if (z == null) {
>>> +            throw new IllegalArgumentException("z must not be null");
>>> +        }
>>> +
>>> +        if (z.length == 0) {
>>> +            throw new IllegalArgumentException(
>>> +                    "z must contain at least one element");
>>> +        }
>>> +
>>> +        final double[] zAbs = new double[z.length];
>>> +
>>> +        for (int i = 0; i < z.length; ++i) {
>>> +            zAbs[i] = FastMath.abs(z[i]);
>>> +        }
>>> +
>>> +        return zAbs;
>>> +    }
>>> +
>>> +    /**
>>> +     * {...@inheritdoc}
>>> +     *
>>> +     * @param x
>>> +     *            the first sample
>>> +     * @param y
>>> +     *            the second sample
>>> +     * @return wilcoxonSignedRank statistic (the larger of W+ and W-)
>>> +     * @throws IllegalArgumentException
>>> +     *             if preconditions are not met
>>> +     */
>>> +    public double wilcoxonSignedRank(final double[] x, final double[] y)
>>> +            throws IllegalArgumentException {
>>> +
>>> +        ensureDataConformance(x, y);
>>> +
>>> +        // throws IllegalArgumentException if x and y are not correctly
>>> +        // specified
>>> +        final double[] z = calculateDifferences(x, y);
>>> +        final double[] zAbs = calculateAbsoluteDifferences(z);
>>> +
>>> +        final double[] ranks = naturalRanking.rank(zAbs);
>>> +
>>> +        double Wplus = 0;
>>> +
>>> +        for (int i = 0; i < z.length; ++i) {
>>> +            if (z[i] > 0) {
>>> +                Wplus += ranks[i];
>>> +            }
>>> +        }
>>> +
>>> +        final int N = x.length;
>>> +        final double Wminus = (((double) (N * (N + 1))) / 2.0) - Wplus;
>>> +
>>> +        return FastMath.max(Wplus, Wminus);
>>> +    }
>>> +
>>> +    /**
>>> +     * Algorithm inspired by
>>> +     * 
>>> http://www.fon.hum.uva.nl/Service/Statistics/Signed_Rank_Algorihms.html#C
>>> +     * by Rob van Son, Institute of Phonetic Sciences & IFOTT,
>>> +     * University of Amsterdam
>>> +     *
>>> +     * @param Wmax largest Wilcoxon signed rank value
>>> +     * @param N number of subjects (corresponding to x.length)
>>> +     * @return two-sided exact p-value
>>> +     */
>>> +    private double calculateExactPValue(final double Wmax, final int N) {
>>> +
>>> +        // Total number of outcomes (equal to 2^N but a lot faster)
>>> +        final int m = 1 << N;
>>> +
>>> +        int largerRankSums = 0;
>>> +
>>> +        for (int i = 0; i < m; ++i) {
>>> +            int rankSum = 0;
>>> +
>>> +            // Generate all possible rank sums
>>> +            for (int j = 0; j < N; ++j) {
>>> +
>>> +                // (i >> j) & 1 extract i's j-th bit from the right
>>> +                if (((i >> j) & 1) == 1) {
>>> +                    rankSum += j + 1;
>>> +                }
>>> +            }
>>> +
>>> +            if (rankSum >= Wmax) {
>>> +                ++largerRankSums;
>>> +            }
>>> +        }
>>> +
>>> +        /*
>>> +         * largerRankSums / m gives the one-sided p-value, so it's 
>>> multiplied
>>> +         * with 2 to get the two-sided p-value
>>> +         */
>>> +        return 2 * ((double) largerRankSums) / ((double) m);
>>> +    }
>>> +
>>> +    /**
>>> +     * @param Wmin smallest Wilcoxon signed rank value
>>> +     * @param N number of subjects (corresponding to x.length)
>>> +     * @return two-sided asymptotic p-value
>>> +     * @throws MathException if an error occurs computing the p-value
>>> +     */
>>> +    private double calculateAsymptoticPValue(final double Wmin, final int 
>>> N) throws MathException {
>>> +
>>> +        final double ES = (double) (N * (N + 1)) / 4.0;
>>> +
>>> +        /* Same as (but saves computations):
>>> +         * final double VarW = ((double) (N * (N + 1) * (2*N + 1))) / 24;
>>> +         */
>>> +        final double VarS = ES * ((double) (2 * N + 1) / 6.0);
>>> +
>>> +        // - 0.5 is a continuity correction
>>> +        final double z = (Wmin - ES - 0.5) / FastMath.sqrt(VarS);
>>> +
>>> +        final NormalDistributionImpl standardNormal = new 
>>> NormalDistributionImpl(0, 1);
>>> +
>>> +        return 2*standardNormal.cumulativeProbability(z);
>>> +    }
>>> +
>>> +    /**
>>> +     * {...@inheritdoc}
>>> +     *
>>> +     * @param x
>>> +     *            the first sample
>>> +     * @param y
>>> +     *            the second sample
>>> +     * @param exactPValue
>>> +     *            if the exact p-value is wanted (only for x.length <= 30)
>>> +     * @return p-value
>>> +     * @throws IllegalArgumentException
>>> +     *             if preconditions are not met or exact p-value is wanted 
>>> for
>>> +     *             when x.length > 30
>>> +     * @throws MathException
>>> +     *             if an error occurs computing the p-value
>>> +     */
>>> +    public double wilcoxonSignedRankTest(final double[] x, final double[] 
>>> y,
>>> +            boolean exactPValue) throws IllegalArgumentException,
>>> +            MathException {
>>> +
>>> +        ensureDataConformance(x, y);
>>> +
>>> +        final int N = x.length;
>>> +        final double Wmax = wilcoxonSignedRank(x, y);
>>> +
>>> +        if (exactPValue && N > 30) {
>>> +            throw new IllegalArgumentException("Exact test can only be 
>>> made for N <= 30.");
>>> +        }
>>> +
>>> +        if (exactPValue) {
>>> +            return calculateExactPValue(Wmax, N);
>>> +        } else {
>>> +            final double Wmin = ( (double)(N*(N+1)) / 2.0 ) - Wmax;
>>> +            return calculateAsymptoticPValue(Wmin, N);
>>> +        }
>>> +    }
>>> +}
>>>
>>> Added: 
>>> commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/MannWhitneyUTestTest.java
>>> URL: 
>>> http://svn.apache.org/viewvc/commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/MannWhitneyUTestTest.java?rev=1053836&view=auto
>>> ==============================================================================
>>> --- 
>>> commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/MannWhitneyUTestTest.java
>>>  (added)
>>> +++ 
>>> commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/MannWhitneyUTestTest.java
>>>  Thu Dec 30 09:52:00 2010
>>> @@ -0,0 +1,101 @@
>>> +/*
>>> + * Licensed to the Apache Software Foundation (ASF) under one or more
>>> + * contributor license agreements.  See the NOTICE file distributed with
>>> + * this work for additional information regarding copyright ownership.
>>> + * The ASF licenses this file to You under the Apache License, Version 2.0
>>> + * (the "License"); you may not use this file except in compliance with
>>> + * the License.  You may obtain a copy of the License at
>>> + *
>>> + *      http://www.apache.org/licenses/LICENSE-2.0
>>> + *
>>> + * Unless required by applicable law or agreed to in writing, software
>>> + * distributed under the License is distributed on an "AS IS" BASIS,
>>> + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
>>> + * See the License for the specific language governing permissions and
>>> + * limitations under the License.
>>> + */
>>> +package org.apache.commons.math.stat.inference;
>>> +
>>> +import junit.framework.TestCase;
>>> +
>>> +/**
>>> + * Test cases for the ChiSquareTestImpl class.
>>> + *
>>> + * @version $Revision: $ $Date: $
>>> + */
>>> +
>>> +public class MannWhitneyUTestTest extends TestCase {
>>> +
>>> +    protected MannWhitneyUTest testStatistic = new MannWhitneyUTestImpl();
>>> +
>>> +    public MannWhitneyUTestTest(String name) {
>>> +        super(name);
>>> +    }
>>> +
>>> +    public void testMannWhitneyUSimple() throws Exception {
>>> +        /* Target values computed using R version 2.11.1
>>> +         * x <- c(19, 22, 16, 29, 24)
>>> +         * y <- c(20, 11, 17, 12)
>>> +         * wilcox.test(x, y, alternative = "two.sided", mu = 0, paired = 
>>> FALSE, exact = FALSE, correct = FALSE)
>>> +         * W = 17, p-value = 0.08641
>>> +         */
>>> +        final double x[] = {19, 22, 16, 29, 24};
>>> +        final double y[] = {20, 11, 17, 12};
>>> +
>>> +        assertEquals(17, testStatistic.mannWhitneyU(x, y), 1e-10);
>>> +        assertEquals(0.08641, testStatistic.mannWhitneyUTest(x, y), 1e-5);
>>> +    }
>>> +
>>> +
>>> +    public void testMannWhitneyUInputValidation() throws Exception {
>>> +        /* Samples must be present, i.e. length > 0
>>> +         */
>>> +        try {
>>> +            testStatistic.mannWhitneyUTest(new double[] { }, new double[] 
>>> { 1.0 });
>>> +            fail("x does not contain samples (exact), 
>>> IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.mannWhitneyUTest(new double[] { 1.0 }, new 
>>> double[] { });
>>> +            fail("y does not contain samples (exact), 
>>> IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        /*
>>> +         * x and y is null
>>> +         */
>>> +        try {
>>> +            testStatistic.mannWhitneyUTest(null, null);
>>> +            fail("x and y is null (exact), IllegalArgumentException 
>>> expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.mannWhitneyUTest(null, null);
>>> +            fail("x and y is null (asymptotic), IllegalArgumentException 
>>> expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        /*
>>> +         * x or y is null
>>> +         */
>>> +        try {
>>> +            testStatistic.mannWhitneyUTest(null, new double[] { 1.0 });
>>> +            fail("x is null (exact), IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.mannWhitneyUTest(new double[] { 1.0 }, null);
>>> +            fail("y is null (exact), IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +    }
>>> +}
>>>
>>> Added: 
>>> commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestTest.java
>>> URL: 
>>> http://svn.apache.org/viewvc/commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestTest.java?rev=1053836&view=auto
>>> ==============================================================================
>>> --- 
>>> commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestTest.java
>>>  (added)
>>> +++ 
>>> commons/proper/math/trunk/src/test/java/org/apache/commons/math/stat/inference/WilcoxonSignedRankTestTest.java
>>>  Thu Dec 30 09:52:00 2010
>>> @@ -0,0 +1,180 @@
>>> +/*
>>> + * Licensed to the Apache Software Foundation (ASF) under one or more
>>> + * contributor license agreements.  See the NOTICE file distributed with
>>> + * this work for additional information regarding copyright ownership.
>>> + * The ASF licenses this file to You under the Apache License, Version 2.0
>>> + * (the "License"); you may not use this file except in compliance with
>>> + * the License.  You may obtain a copy of the License at
>>> + *
>>> + *      http://www.apache.org/licenses/LICENSE-2.0
>>> + *
>>> + * Unless required by applicable law or agreed to in writing, software
>>> + * distributed under the License is distributed on an "AS IS" BASIS,
>>> + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
>>> + * See the License for the specific language governing permissions and
>>> + * limitations under the License.
>>> + */
>>> +package org.apache.commons.math.stat.inference;
>>> +
>>> +import junit.framework.TestCase;
>>> +
>>> +/**
>>> + * Test cases for the ChiSquareTestImpl class.
>>> + *
>>> + * @version $Revision: $ $Date: $
>>> + */
>>> +
>>> +public class WilcoxonSignedRankTestTest extends TestCase {
>>> +
>>> +    protected WilcoxonSignedRankTest testStatistic = new 
>>> WilcoxonSignedRankTestImpl();
>>> +
>>> +    public WilcoxonSignedRankTestTest(String name) {
>>> +        super(name);
>>> +    }
>>> +
>>> +    public void testWilcoxonSignedRankSimple() throws Exception {
>>> +        /* Target values computed using R version 2.11.1
>>> +         * x <- c(1.83, 0.50, 1.62, 2.48, 1.68, 1.88, 1.55, 3.06, 1.30)
>>> +         * y <- c(0.878, 0.647, 0.598, 2.05, 1.06, 1.29, 1.06, 3.14, 1.29)
>>> +         */
>>> +        final double x[] = {1.83, 0.50, 1.62, 2.48, 1.68, 1.88, 1.55, 
>>> 3.06, 1.30};
>>> +        final double y[] = {0.878, 0.647, 0.598, 2.05, 1.06, 1.29, 1.06, 
>>> 3.14, 1.29};
>>> +
>>> +        /* EXACT:
>>> +         * wilcox.test(x, y, alternative = "two.sided", mu = 0, paired = 
>>> TRUE, exact = TRUE, correct = FALSE)
>>> +         * V = 40, p-value = 0.03906
>>> +         *
>>> +         * Corresponds to the value obtained in R.
>>> +         */
>>> +        assertEquals(40, testStatistic.wilcoxonSignedRank(x, y), 1e-10);
>>> +        assertEquals(0.03906, testStatistic.wilcoxonSignedRankTest(x, y, 
>>> true), 1e-5);
>>> +
>>> +        /* ASYMPTOTIC:
>>> +         * wilcox.test(x, y, alternative = "two.sided", mu = 0, paired = 
>>> TRUE, exact = FALSE, correct = FALSE)
>>> +         * V = 40, p-value = 0.03815
>>> +         *
>>> +         * This is not entirely the same due to different corrects,
>>> +         * e.g. http://mlsc.lboro.ac.uk/resources/statistics/wsrt.pdf
>>> +         * and src/library/stats/R/wilcox.test.R in the R source
>>> +         */
>>> +        assertEquals(40, testStatistic.wilcoxonSignedRank(x, y), 1e-10);
>>> +        assertEquals(0.0329693812, testStatistic.wilcoxonSignedRankTest(x, 
>>> y, false), 1e-10);
>>> +    }
>>> +
>>> +    public void testWilcoxonSignedRankInputValidation() throws Exception {
>>> +        /*
>>> +         * Exact only for sample size <= 30
>>> +         */
>>> +        final double[] x1 = new double[30];
>>> +        final double[] x2 = new double[31];
>>> +        final double[] y1 = new double[30];
>>> +        final double[] y2 = new double[31];
>>> +        for (int i = 0; i < 30; ++i) {
>>> +            x1[i] = x2[i] = y1[i] = y2[i] = i;
>>> +        }
>>> +
>>> +        // Exactly 30 is okay
>>> +        testStatistic.wilcoxonSignedRankTest(x1, y1, true);
>>> +
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(x2, y2, true);
>>> +            fail("More than 30 samples and exact chosen, 
>>> IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        /* Samples must be present, i.e. length > 0
>>> +         */
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(new double[] { }, new 
>>> double[] { 1.0 }, true);
>>> +            fail("x does not contain samples (exact), 
>>> IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(new double[] { }, new 
>>> double[] { 1.0 }, false);
>>> +            fail("x does not contain samples (asymptotic), 
>>> IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(new double[] { 1.0 }, new 
>>> double[] { }, true);
>>> +            fail("y does not contain samples (exact), 
>>> IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(new double[] { 1.0 }, new 
>>> double[] { }, false);
>>> +            fail("y does not contain samples (asymptotic), 
>>> IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        /* Samples not same size, i.e. cannot be pairred
>>> +         */
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(new double[] { 1.0, 2.0 
>>> }, new double[] { 3.0 }, true);
>>> +            fail("x and y not same size (exact), IllegalArgumentException 
>>> expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(new double[] { 1.0, 2.0 
>>> }, new double[] { 3.0 }, false);
>>> +            fail("x and y not same size (asymptotic), 
>>> IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        /*
>>> +         * x and y is null
>>> +         */
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(null, null, true);
>>> +            fail("x and y is null (exact), IllegalArgumentException 
>>> expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(null, null, false);
>>> +            fail("x and y is null (asymptotic), IllegalArgumentException 
>>> expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        /*
>>> +         * x or y is null
>>> +         */
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(null, new double[] { 1.0 
>>> }, true);
>>> +            fail("x is null (exact), IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(null, new double[] { 1.0 
>>> }, false);
>>> +            fail("x is null (asymptotic), IllegalArgumentException 
>>> expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(new double[] { 1.0 }, 
>>> null, true);
>>> +            fail("y is null (exact), IllegalArgumentException expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +
>>> +        try {
>>> +            testStatistic.wilcoxonSignedRankTest(new double[] { 1.0 }, 
>>> null, false);
>>> +            fail("y is null (asymptotic), IllegalArgumentException 
>>> expected");
>>> +        } catch (IllegalArgumentException ex) {
>>> +            // expected
>>> +        }
>>> +    }
>>> +}
>>>
>>>
>>>
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