| <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> |
| <!-- NewPage --> |
| <html lang="en"> |
| <head> |
| <meta http-equiv="Content-Type" content="text/html" charset="UTF-8"> |
| <title>BinomialTest (Apache Commons Math 3.3 API)</title> |
| <link rel="stylesheet" type="text/css" href="../../../../../../stylesheet.css" title="Style"> |
| </head> |
| <body> |
| <script type="text/javascript"><!-- |
| if (location.href.indexOf('is-external=true') == -1) { |
| parent.document.title="BinomialTest (Apache Commons Math 3.3 API)"; |
| } |
| //--> |
| </script> |
| <noscript> |
| <div>JavaScript is disabled on your browser.</div> |
| </noscript> |
| <!-- ========= START OF TOP NAVBAR ======= --> |
| <div class="topNav"><a name="navbar_top"> |
| <!-- --> |
| </a><a href="#skip-navbar_top" title="Skip navigation links"></a><a name="navbar_top_firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/BinomialTest.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../../help-doc.html">Help</a></li> |
| </ul> |
| <div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../../org/apache/commons/math3/stat/inference/AlternativeHypothesis.html" title="enum in org.apache.commons.math3.stat.inference"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html" title="class in org.apache.commons.math3.stat.inference"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../../index.html?org/apache/commons/math3/stat/inference/BinomialTest.html" target="_top">Frames</a></li> |
| <li><a href="BinomialTest.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_top"> |
| <li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_top"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li>Field | </li> |
| <li><a href="#constructor_summary">Constr</a> | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li>Field | </li> |
| <li><a href="#constructor_detail">Constr</a> | </li> |
| <li><a href="#method_detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip-navbar_top"> |
| <!-- --> |
| </a></div> |
| <!-- ========= END OF TOP NAVBAR ========= --> |
| <!-- ======== START OF CLASS DATA ======== --> |
| <div class="header"> |
| <div class="subTitle">org.apache.commons.math3.stat.inference</div> |
| <h2 title="Class BinomialTest" class="title">Class BinomialTest</h2> |
| </div> |
| <div class="contentContainer"> |
| <ul class="inheritance"> |
| <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> |
| <li> |
| <ul class="inheritance"> |
| <li>org.apache.commons.math3.stat.inference.BinomialTest</li> |
| </ul> |
| </li> |
| </ul> |
| <div class="description"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <hr> |
| <br> |
| <pre>public class <span class="strong">BinomialTest</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 binomial test statistics. |
| <p> |
| Exact test for the statistical significance of deviations from a |
| theoretically expected distribution of observations into two categories.</div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>3.3</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: BinomialTest.java 1532638 2013-10-16 04:29:31Z psteitz $</dd> |
| <dt><span class="strong">See Also:</span></dt><dd><a href="http://en.wikipedia.org/wiki/Binomial_test">Binomial test (Wikipedia)</a></dd></dl> |
| </li> |
| </ul> |
| </div> |
| <div class="summary"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ======== CONSTRUCTOR SUMMARY ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_summary"> |
| <!-- --> |
| </a> |
| <h3>Constructor Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation"> |
| <caption><span>Constructors</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colOne" scope="col">Constructor and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/BinomialTest.html#BinomialTest()">BinomialTest</a></strong>()</code> </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| <!-- ========== METHOD SUMMARY =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method_summary"> |
| <!-- --> |
| </a> |
| <h3>Method Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation"> |
| <caption><span>Methods</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier and Type</th> |
| <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/BinomialTest.html#binomialTest(int, int, double, org.apache.commons.math3.stat.inference.AlternativeHypothesis)">binomialTest</a></strong>(int numberOfTrials, |
| int numberOfSuccesses, |
| double probability, |
| <a href="../../../../../../org/apache/commons/math3/stat/inference/AlternativeHypothesis.html" title="enum in org.apache.commons.math3.stat.inference">AlternativeHypothesis</a> alternativeHypothesis)</code> |
| <div class="block">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/Binomial_test"> Binomial test</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/BinomialTest.html#binomialTest(int, int, double, org.apache.commons.math3.stat.inference.AlternativeHypothesis, double)">binomialTest</a></strong>(int numberOfTrials, |
| int numberOfSuccesses, |
| double probability, |
| <a href="../../../../../../org/apache/commons/math3/stat/inference/AlternativeHypothesis.html" title="enum in org.apache.commons.math3.stat.inference">AlternativeHypothesis</a> alternativeHypothesis, |
| double alpha)</code> |
| <div class="block">Returns whether the null hypothesis can be rejected with the given confidence level.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
| <li class="blockList"><a name="methods_inherited_from_class_java.lang.Object"> |
| <!-- --> |
| </a> |
| <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> |
| </div> |
| <div class="details"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_detail"> |
| <!-- --> |
| </a> |
| <h3>Constructor Detail</h3> |
| <a name="BinomialTest()"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>BinomialTest</h4> |
| <pre>public BinomialTest()</pre> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ============ METHOD DETAIL ========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method_detail"> |
| <!-- --> |
| </a> |
| <h3>Method Detail</h3> |
| <a name="binomialTest(int, int, double, org.apache.commons.math3.stat.inference.AlternativeHypothesis, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>binomialTest</h4> |
| <pre>public boolean binomialTest(int numberOfTrials, |
| int numberOfSuccesses, |
| double probability, |
| <a href="../../../../../../org/apache/commons/math3/stat/inference/AlternativeHypothesis.html" title="enum in org.apache.commons.math3.stat.inference">AlternativeHypothesis</a> alternativeHypothesis, |
| double alpha)</pre> |
| <div class="block">Returns whether the null hypothesis can be rejected with the given confidence level. |
| <p> |
| <strong>Preconditions</strong>: |
| <ul> |
| <li>Number of trials must be ≥ 0.</li> |
| <li>Number of successes must be ≥ 0.</li> |
| <li>Number of successes must be ≤ number of trials.</li> |
| <li>Probability must be ≥ 0 and ≤ 1.</li> |
| </ul></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>numberOfTrials</code> - number of trials performed</dd><dd><code>numberOfSuccesses</code> - number of successes observed</dd><dd><code>probability</code> - assumed probability of a single trial under the null hypothesis</dd><dd><code>alternativeHypothesis</code> - type of hypothesis being evaluated (one- or two-sided)</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 <code>1 - alpha</code></dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code> - if <code>numberOfTrials</code> or <code>numberOfSuccesses</code> is negative</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>probability</code> is not between 0 and 1</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if <code>numberOfTrials</code> < <code>numberOfSuccesses</code> or |
| if <code>alternateHypothesis</code> is null.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/AlternativeHypothesis.html" title="enum in org.apache.commons.math3.stat.inference"><code>AlternativeHypothesis</code></a></dd></dl> |
| </li> |
| </ul> |
| <a name="binomialTest(int, int, double, org.apache.commons.math3.stat.inference.AlternativeHypothesis)"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>binomialTest</h4> |
| <pre>public double binomialTest(int numberOfTrials, |
| int numberOfSuccesses, |
| double probability, |
| <a href="../../../../../../org/apache/commons/math3/stat/inference/AlternativeHypothesis.html" title="enum in org.apache.commons.math3.stat.inference">AlternativeHypothesis</a> alternativeHypothesis)</pre> |
| <div class="block">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/Binomial_test"> Binomial test</a>. |
| <p> |
| The number returned is the smallest significance level at which one can reject the null hypothesis. |
| The form of the hypothesis depends on <code>alternativeHypothesis</code>.</p> |
| <p> |
| The p-Value represents the likelihood of getting a result at least as extreme as the sample, |
| given the provided <code>probability</code> of success on a single trial. For single-sided tests, |
| this value can be directly derived from the Binomial distribution. For the two-sided test, |
| the implementation works as follows: we start by looking at the most extreme cases |
| (0 success and n success where n is the number of trials from the sample) and determine their likelihood. |
| The lower value is added to the p-Value (if both values are equal, both are added). Then we continue with |
| the next extreme value, until we added the value for the actual observed sample.</p> |
| <p> |
| <strong>Preconditions</strong>: |
| <ul> |
| <li>Number of trials must be ≥ 0.</li> |
| <li>Number of successes must be ≥ 0.</li> |
| <li>Number of successes must be ≤ number of trials.</li> |
| <li>Probability must be ≥ 0 and ≤ 1.</li> |
| </ul></p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>numberOfTrials</code> - number of trials performed</dd><dd><code>numberOfSuccesses</code> - number of successes observed</dd><dd><code>probability</code> - assumed probability of a single trial under the null hypothesis</dd><dd><code>alternativeHypothesis</code> - type of hypothesis being evaluated (one- or two-sided)</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>p-value</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code> - if <code>numberOfTrials</code> or <code>numberOfSuccesses</code> is negative</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>probability</code> is not between 0 and 1</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if <code>numberOfTrials</code> < <code>numberOfSuccesses</code> or |
| if <code>alternateHypothesis</code> is null.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/AlternativeHypothesis.html" title="enum in org.apache.commons.math3.stat.inference"><code>AlternativeHypothesis</code></a></dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| </div> |
| <!-- ========= END OF CLASS DATA ========= --> |
| <!-- ======= START OF BOTTOM NAVBAR ====== --> |
| <div class="bottomNav"><a name="navbar_bottom"> |
| <!-- --> |
| </a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/BinomialTest.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../../help-doc.html">Help</a></li> |
| </ul> |
| <div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../../org/apache/commons/math3/stat/inference/AlternativeHypothesis.html" title="enum in org.apache.commons.math3.stat.inference"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html" title="class in org.apache.commons.math3.stat.inference"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../../index.html?org/apache/commons/math3/stat/inference/BinomialTest.html" target="_top">Frames</a></li> |
| <li><a href="BinomialTest.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_bottom"> |
| <li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_bottom"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li>Field | </li> |
| <li><a href="#constructor_summary">Constr</a> | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li>Field | </li> |
| <li><a href="#constructor_detail">Constr</a> | </li> |
| <li><a href="#method_detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip-navbar_bottom"> |
| <!-- --> |
| </a></div> |
| <!-- ======== END OF BOTTOM NAVBAR ======= --> |
| <p class="legalCopy"><small>Copyright © 2003–2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p> |
| </body> |
| </html> |