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| <h2 title="Class MannWhitneyUTest" class="title">Class MannWhitneyUTest</h2> |
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| <pre>public class <span class="strong">MannWhitneyUTest</span> |
| extends <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre> |
| <div class="block">An implementation of the Mann-Whitney U test (also called Wilcoxon rank-sum test).</div> |
| <dl><dt><span class="strong">Version:</span></dt> |
| <dd>$Id: MannWhitneyUTest.java 1416643 2012-12-03 19:37:14Z tn $</dd></dl> |
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| <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/MannWhitneyUTest.html#MannWhitneyUTest()">MannWhitneyUTest</a></strong>()</code> |
| <div class="block">Create a test instance using where NaN's are left in place and ties get |
| the average of applicable ranks.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/MannWhitneyUTest.html#MannWhitneyUTest(org.apache.commons.math3.stat.ranking.NaNStrategy, org.apache.commons.math3.stat.ranking.TiesStrategy)">MannWhitneyUTest</a></strong>(<a href="../../../../../../org/apache/commons/math3/stat/ranking/NaNStrategy.html" title="enum in org.apache.commons.math3.stat.ranking">NaNStrategy</a> nanStrategy, |
| <a href="../../../../../../org/apache/commons/math3/stat/ranking/TiesStrategy.html" title="enum in org.apache.commons.math3.stat.ranking">TiesStrategy</a> tiesStrategy)</code> |
| <div class="block">Create a test instance using the given strategies for NaN's and ties.</div> |
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| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/MannWhitneyUTest.html#mannWhitneyU(double[], double[])">mannWhitneyU</a></strong>(double[] x, |
| double[] y)</code> |
| <div class="block">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.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/MannWhitneyUTest.html#mannWhitneyUTest(double[], double[])">mannWhitneyUTest</a></strong>(double[] x, |
| double[] y)</code> |
| <div class="block">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.</div> |
| </td> |
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| <h4>MannWhitneyUTest</h4> |
| <pre>public MannWhitneyUTest()</pre> |
| <div class="block">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.</div> |
| </li> |
| </ul> |
| <a name="MannWhitneyUTest(org.apache.commons.math3.stat.ranking.NaNStrategy, org.apache.commons.math3.stat.ranking.TiesStrategy)"> |
| <!-- --> |
| </a> |
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| <h4>MannWhitneyUTest</h4> |
| <pre>public MannWhitneyUTest(<a href="../../../../../../org/apache/commons/math3/stat/ranking/NaNStrategy.html" title="enum in org.apache.commons.math3.stat.ranking">NaNStrategy</a> nanStrategy, |
| <a href="../../../../../../org/apache/commons/math3/stat/ranking/TiesStrategy.html" title="enum in org.apache.commons.math3.stat.ranking">TiesStrategy</a> tiesStrategy)</pre> |
| <div class="block">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.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>nanStrategy</code> - specifies the strategy that should be used for Double.NaN's</dd><dd><code>tiesStrategy</code> - specifies the strategy that should be used for ties</dd></dl> |
| </li> |
| </ul> |
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| <a name="mannWhitneyU(double[], double[])"> |
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| <h4>mannWhitneyU</h4> |
| <pre>public double mannWhitneyU(double[] x, |
| double[] y) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></pre> |
| <div class="block">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></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the first sample</dd><dd><code>y</code> - the second sample</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>Mann-Whitney U statistic (maximum of U<sup>x</sup> and U<sup>y</sup>)</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if <code>x</code> or <code>y</code> are <code>null</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code> - if <code>x</code> or <code>y</code> are zero-length.</dd></dl> |
| </li> |
| </ul> |
| <a name="mannWhitneyUTest(double[], double[])"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
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| <h4>mannWhitneyUTest</h4> |
| <pre>public double mannWhitneyUTest(double[] x, |
| double[] y) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre> |
| <div class="block">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><p> |
| 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>.</p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the first sample</dd><dd><code>y</code> - the second sample</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>asymptotic p-value</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if <code>x</code> or <code>y</code> are <code>null</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code> - if <code>x</code> or <code>y</code> are zero-length.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a></code> - if the p-value can not be computed due to a |
| convergence error</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code> - if the maximum number of iterations |
| is exceeded</dd></dl> |
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