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Computes the Mann-Whitney U statistic
[http://en.wikipedia.org/wiki/Mann%E2%80%93Whitney_U] comparin

mannWhitneyU

calculateAsymptoticPValue

concatenateSamples

Ensures that the provided arrays fulfills the assumptions.

ensureDataConformance

Create a test instance using the given strategies for NaN's and ties. Only use
this if you are sure 

<init>

Returns the asymptotic observed significance level, or p-value
[http://www.cas.lancs.ac.uk/glossary_

mannWhitneyUTest

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A Map is a data structure consisting of a set of keys and values in which each
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A reentrant mutual exclusion Lock with the same basic behavior and semantics as
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java.util.concurrent.locks.ReentrantLock

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This is the central class in the log4j package. Most logging operations, except
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/**
 * Returns the asymptotic observed significance level, 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.
 * 
 * Let Xi denote the i'th individual of the first sample and
 * Yj the j'th individual in the second sample. Note that the
 * samples would often have different length.
 * 
 * 
 * Preconditions:
 * <ul>
 * <li>All observations in the two samples are independent.</li>
 * <li>The observations are at least ordinal (continuous are also ordinal).</li>
 * </ul>
 * 
 * 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>.
 *
 * @param x the first sample
 * @param y the second sample
 * @return asymptotic p-value
 * @throws NullArgumentException if {@code x} or {@code y} are {@code null}.
 * @throws NoDataException if {@code x} or {@code y} are zero-length.
 * @throws ConvergenceException if the p-value can not be computed due to a
 * convergence error
 * @throws MaxCountExceededException if the maximum number of iterations
 * is exceeded
 */

/*
         * It can be shown that U1 + U2 = n1 * n2
         */

/**
	 * Returns the asymptotic observed significance level, 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.
	 * 
	 * Let Xi denote the i'th individual of the first sample and
	 * Yj the j'th individual in the second sample. Note that the
	 * samples would often have different length.
	 * 
	 * 
	 * Preconditions:
	 * <ul>
	 * <li>All observations in the two samples are independent.</li>
	 * <li>The observations are at least ordinal (continuous are also
	 * ordinal).</li>
	 * </ul>
	 * 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>.
	 *
	 * @param x
	 * the first sample
	 * @param y
	 * the second sample
	 * @return asymptotic p-value
	 * @throws NullArgumentException
	 * if {@code x} or {@code y} are {@code null}.
	 * @throws NoDataException
	 * if {@code x} or {@code y} are zero-length.
	 * @throws ConvergenceException
	 * if the p-value can not be computed due to a convergence error
	 * @throws MaxCountExceededException
	 * if the maximum number of iterations is exceeded
	 */

/*
         * It can be shown that U1 + U2 = n1 * n2
         */

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org.apache.commons.math3.stat.inference.MannWhitneyUTest