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| <div class="subTitle">org.apache.commons.math3.stat.inference</div> |
| <h2 title="Class OneWayAnova" class="title">Class OneWayAnova</h2> |
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| <li><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li> |
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| <ul class="inheritance"> |
| <li>org.apache.commons.math3.stat.inference.OneWayAnova</li> |
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| <pre>public class <span class="strong">OneWayAnova</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">Implements one-way ANOVA (analysis of variance) statistics. |
| |
| <p> Tests for differences between two or more categories of univariate data |
| (for example, the body mass index of accountants, lawyers, doctors and |
| computer programmers). When two categories are given, this is equivalent to |
| the <a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html" title="class in org.apache.commons.math3.stat.inference"><code>TTest</code></a>. |
| </p><p> |
| Uses the <a href="../../../../../../org/apache/commons/math3/distribution/FDistribution.html" title="class in org.apache.commons.math3.distribution"><code>commons-math F Distribution implementation</code></a> to estimate exact p-values.</p> |
| <p>This implementation is based on a description at |
| http://faculty.vassar.edu/lowry/ch13pt1.html</p> |
| <pre> |
| Abbreviations: bg = between groups, |
| wg = within groups, |
| ss = sum squared deviations |
| </pre></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>1.2</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: OneWayAnova.java 1462423 2013-03-29 07:25:18Z luc $</dd></dl> |
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| <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#OneWayAnova()">OneWayAnova</a></strong>()</code> |
| <div class="block">Default constructor.</div> |
| </td> |
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| <th class="colLast" scope="col">Method and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaFValue(java.util.Collection)">anovaFValue</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><double[]> categoryData)</code> |
| <div class="block">Computes the ANOVA F-value for a collection of <code>double[]</code> |
| arrays.</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/OneWayAnova.html#anovaPValue(java.util.Collection)">anovaPValue</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><double[]> categoryData)</code> |
| <div class="block">Computes the ANOVA P-value for a collection of <code>double[]</code> |
| arrays.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaPValue(java.util.Collection, boolean)">anovaPValue</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><<a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive">SummaryStatistics</a>> categoryData, |
| boolean allowOneElementData)</code> |
| <div class="block">Computes the ANOVA P-value for a collection of <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a>.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>boolean</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaTest(java.util.Collection, double)">anovaTest</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><double[]> categoryData, |
| double alpha)</code> |
| <div class="block">Performs an ANOVA test, evaluating the null hypothesis that there |
| is no difference among the means of the data categories.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
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| <h3>Methods inherited from class java.lang.<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></h3> |
| <code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</a></code></li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
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| <ul class="blockList"> |
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| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_detail"> |
| <!-- --> |
| </a> |
| <h3>Constructor Detail</h3> |
| <a name="OneWayAnova()"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>OneWayAnova</h4> |
| <pre>public OneWayAnova()</pre> |
| <div class="block">Default constructor.</div> |
| </li> |
| </ul> |
| </li> |
| </ul> |
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| <h3>Method Detail</h3> |
| <a name="anovaFValue(java.util.Collection)"> |
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| <h4>anovaFValue</h4> |
| <pre>public double anovaFValue(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><double[]> categoryData) |
| 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/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre> |
| <div class="block">Computes the ANOVA F-value for a collection of <code>double[]</code> |
| arrays. |
| |
| <p><strong>Preconditions</strong>: <ul> |
| <li>The categoryData <code>Collection</code> must contain |
| <code>double[]</code> arrays.</li> |
| <li> There must be at least two <code>double[]</code> arrays in the |
| <code>categoryData</code> collection and each of these arrays must |
| contain at least two values.</li></ul></p><p> |
| This implementation computes the F statistic using the definitional |
| formula<pre> |
| F = msbg/mswg</pre> |
| where<pre> |
| msbg = between group mean square |
| mswg = within group mean square</pre> |
| are as defined <a href="http://faculty.vassar.edu/lowry/ch13pt1.html"> |
| here</a></p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>categoryData</code> - <code>Collection</code> of <code>double[]</code> |
| arrays each containing data for one category</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>Fvalue</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>categoryData</code> is <code>null</code></dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the length of the <code>categoryData</code> |
| array is less than 2 or a contained <code>double[]</code> array does not have |
| at least two values</dd></dl> |
| </li> |
| </ul> |
| <a name="anovaPValue(java.util.Collection)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
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| <h4>anovaPValue</h4> |
| <pre>public double anovaPValue(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><double[]> categoryData) |
| 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/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</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">Computes the ANOVA P-value for a collection of <code>double[]</code> |
| arrays. |
| |
| <p><strong>Preconditions</strong>: <ul> |
| <li>The categoryData <code>Collection</code> must contain |
| <code>double[]</code> arrays.</li> |
| <li> There must be at least two <code>double[]</code> arrays in the |
| <code>categoryData</code> collection and each of these arrays must |
| contain at least two values.</li></ul></p><p> |
| This implementation uses the |
| <a href="../../../../../../org/apache/commons/math3/distribution/FDistribution.html" title="class in org.apache.commons.math3.distribution"><code>commons-math F Distribution implementation</code></a> to estimate the exact |
| p-value, using the formula<pre> |
| p = 1 - cumulativeProbability(F)</pre> |
| where <code>F</code> is the F value and <code>cumulativeProbability</code> |
| is the commons-math implementation of the F distribution.</p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>categoryData</code> - <code>Collection</code> of <code>double[]</code> |
| arrays each containing data for one category</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>Pvalue</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>categoryData</code> is <code>null</code></dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the length of the <code>categoryData</code> |
| array is less than 2 or a contained <code>double[]</code> array does not have |
| at least two values</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> |
| </li> |
| </ul> |
| <a name="anovaPValue(java.util.Collection, boolean)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>anovaPValue</h4> |
| <pre>public double anovaPValue(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><<a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive">SummaryStatistics</a>> categoryData, |
| boolean allowOneElementData) |
| 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/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</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">Computes the ANOVA P-value for a collection of <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a>. |
| |
| <p><strong>Preconditions</strong>: <ul> |
| <li>The categoryData <code>Collection</code> must contain |
| <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a>.</li> |
| <li> There must be at least two <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a> in the |
| <code>categoryData</code> collection and each of these statistics must |
| contain at least two values.</li></ul></p><p> |
| This implementation uses the |
| <a href="../../../../../../org/apache/commons/math3/distribution/FDistribution.html" title="class in org.apache.commons.math3.distribution"><code>commons-math F Distribution implementation</code></a> to estimate the exact |
| p-value, using the formula<pre> |
| p = 1 - cumulativeProbability(F)</pre> |
| where <code>F</code> is the F value and <code>cumulativeProbability</code> |
| is the commons-math implementation of the F distribution.</p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>categoryData</code> - <code>Collection</code> of <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a> |
| each containing data for one category</dd><dd><code>allowOneElementData</code> - if true, allow computation for one catagory |
| only or for one data element per category</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>Pvalue</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>categoryData</code> is <code>null</code></dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the length of the <code>categoryData</code> |
| array is less than 2 or a contained <a href="../../../../../../org/apache/commons/math3/stat/descriptive/SummaryStatistics.html" title="class in org.apache.commons.math3.stat.descriptive"><code>SummaryStatistics</code></a> does not have |
| at least two values</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><dt><span class="strong">Since:</span></dt> |
| <dd>3.2</dd></dl> |
| </li> |
| </ul> |
| <a name="anovaTest(java.util.Collection, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
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| <h4>anovaTest</h4> |
| <pre>public boolean anovaTest(<a href="http://docs.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a><double[]> categoryData, |
| double alpha) |
| 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/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</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">Performs an ANOVA test, evaluating the null hypothesis that there |
| is no difference among the means of the data categories. |
| |
| <p><strong>Preconditions</strong>: <ul> |
| <li>The categoryData <code>Collection</code> must contain |
| <code>double[]</code> arrays.</li> |
| <li> There must be at least two <code>double[]</code> arrays in the |
| <code>categoryData</code> collection and each of these arrays must |
| contain at least two values.</li> |
| <li>alpha must be strictly greater than 0 and less than or equal to 0.5. |
| </li></ul></p><p> |
| This implementation uses the |
| <a href="../../../../../../org/apache/commons/math3/distribution/FDistribution.html" title="class in org.apache.commons.math3.distribution"><code>commons-math F Distribution implementation</code></a> to estimate the exact |
| p-value, using the formula<pre> |
| p = 1 - cumulativeProbability(F)</pre> |
| where <code>F</code> is the F value and <code>cumulativeProbability</code> |
| is the commons-math implementation of the F distribution.</p> |
| <p>True is returned iff the estimated p-value is less than alpha.</p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>categoryData</code> - <code>Collection</code> of <code>double[]</code> |
| arrays each containing data for one category</dd><dd><code>alpha</code> - significance level of the test</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>true if the null hypothesis can be rejected with |
| confidence 1 - alpha</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>categoryData</code> is <code>null</code></dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the length of the <code>categoryData</code> |
| array is less than 2 or a contained <code>double[]</code> array does not have |
| at least two values</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code> - if <code>alpha</code> is not in the range (0, 0.5]</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> |
| </li> |
| </ul> |
| </li> |
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