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| <div class="subTitle">org.apache.commons.math3.stat.interval</div> |
| <h2 title="Class IntervalUtils" class="title">Class IntervalUtils</h2> |
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| <li>org.apache.commons.math3.stat.interval.IntervalUtils</li> |
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| <pre>public final class <span class="strong">IntervalUtils</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">Factory methods to generate confidence intervals for a binomial proportion. |
| The supported methods are: |
| <ul> |
| <li>Agresti-Coull interval</li> |
| <li>Clopper-Pearson method (exact method)</li> |
| <li>Normal approximation (based on central limit theorem)</li> |
| <li>Wilson score interval</li> |
| </ul></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>3.3</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: IntervalUtils.java 1560551 2014-01-22 22:35:21Z tn $</dd></dl> |
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| <h3>Method Summary</h3> |
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| <td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/stat/interval/ConfidenceInterval.html" title="class in org.apache.commons.math3.stat.interval">ConfidenceInterval</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/interval/IntervalUtils.html#getAgrestiCoullInterval(int, int, double)">getAgrestiCoullInterval</a></strong>(int numberOfTrials, |
| int numberOfSuccesses, |
| double confidenceLevel)</code> |
| <div class="block">Create an Agresti-Coull binomial confidence interval for the true |
| probability of success of an unknown binomial distribution with the given |
| observed number of trials, successes and confidence level.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/stat/interval/ConfidenceInterval.html" title="class in org.apache.commons.math3.stat.interval">ConfidenceInterval</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/interval/IntervalUtils.html#getClopperPearsonInterval(int, int, double)">getClopperPearsonInterval</a></strong>(int numberOfTrials, |
| int numberOfSuccesses, |
| double confidenceLevel)</code> |
| <div class="block">Create a Clopper-Pearson binomial confidence interval for the true |
| probability of success of an unknown binomial distribution with the given |
| observed number of trials, successes and confidence level.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/stat/interval/ConfidenceInterval.html" title="class in org.apache.commons.math3.stat.interval">ConfidenceInterval</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/interval/IntervalUtils.html#getNormalApproximationInterval(int, int, double)">getNormalApproximationInterval</a></strong>(int numberOfTrials, |
| int numberOfSuccesses, |
| double confidenceLevel)</code> |
| <div class="block">Create a binomial confidence interval for the true probability of success |
| of an unknown binomial distribution with the given observed number of |
| trials, successes and confidence level using the Normal approximation to |
| the binomial distribution.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/stat/interval/ConfidenceInterval.html" title="class in org.apache.commons.math3.stat.interval">ConfidenceInterval</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/interval/IntervalUtils.html#getWilsonScoreInterval(int, int, double)">getWilsonScoreInterval</a></strong>(int numberOfTrials, |
| int numberOfSuccesses, |
| double confidenceLevel)</code> |
| <div class="block">Create a Wilson score binomial confidence interval for the true |
| probability of success of an unknown binomial distribution with the given |
| observed number of trials, successes and confidence level.</div> |
| </td> |
| </tr> |
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| <a name="getAgrestiCoullInterval(int, int, double)"> |
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| <h4>getAgrestiCoullInterval</h4> |
| <pre>public static <a href="../../../../../../org/apache/commons/math3/stat/interval/ConfidenceInterval.html" title="class in org.apache.commons.math3.stat.interval">ConfidenceInterval</a> getAgrestiCoullInterval(int numberOfTrials, |
| int numberOfSuccesses, |
| double confidenceLevel)</pre> |
| <div class="block">Create an Agresti-Coull binomial confidence interval for the true |
| probability of success of an unknown binomial distribution with the given |
| observed number of trials, successes and confidence level.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>numberOfTrials</code> - number of trials</dd><dd><code>numberOfSuccesses</code> - number of successes</dd><dd><code>confidenceLevel</code> - desired probability that the true probability of |
| success falls within the returned interval</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>Confidence interval containing the probability of success with |
| probability <code>confidenceLevel</code></dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if <code>numberOfTrials <= 0</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code> - if <code>numberOfSuccesses < 0</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>numberOfSuccesses > numberOfTrials</code>.</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>confidenceLevel</code> is not in the interval <code>(0, 1)</code>.</dd></dl> |
| </li> |
| </ul> |
| <a name="getClopperPearsonInterval(int, int, double)"> |
| <!-- --> |
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| <h4>getClopperPearsonInterval</h4> |
| <pre>public static <a href="../../../../../../org/apache/commons/math3/stat/interval/ConfidenceInterval.html" title="class in org.apache.commons.math3.stat.interval">ConfidenceInterval</a> getClopperPearsonInterval(int numberOfTrials, |
| int numberOfSuccesses, |
| double confidenceLevel)</pre> |
| <div class="block">Create a Clopper-Pearson binomial confidence interval for the true |
| probability of success of an unknown binomial distribution with the given |
| observed number of trials, successes and confidence level. |
| <p> |
| Preconditions: |
| <ul> |
| <li><code>numberOfTrials</code> must be positive</li> |
| <li><code>numberOfSuccesses</code> may not exceed <code>numberOfTrials</code></li> |
| <li><code>confidenceLevel</code> must be strictly between 0 and 1 (exclusive)</li> |
| </ul> |
| </p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>numberOfTrials</code> - number of trials</dd><dd><code>numberOfSuccesses</code> - number of successes</dd><dd><code>confidenceLevel</code> - desired probability that the true probability of |
| success falls within the returned interval</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>Confidence interval containing the probability of success with |
| probability <code>confidenceLevel</code></dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if <code>numberOfTrials <= 0</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code> - if <code>numberOfSuccesses < 0</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>numberOfSuccesses > numberOfTrials</code>.</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>confidenceLevel</code> is not in the interval <code>(0, 1)</code>.</dd></dl> |
| </li> |
| </ul> |
| <a name="getNormalApproximationInterval(int, int, double)"> |
| <!-- --> |
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| <ul class="blockList"> |
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| <h4>getNormalApproximationInterval</h4> |
| <pre>public static <a href="../../../../../../org/apache/commons/math3/stat/interval/ConfidenceInterval.html" title="class in org.apache.commons.math3.stat.interval">ConfidenceInterval</a> getNormalApproximationInterval(int numberOfTrials, |
| int numberOfSuccesses, |
| double confidenceLevel)</pre> |
| <div class="block">Create a binomial confidence interval for the true probability of success |
| of an unknown binomial distribution with the given observed number of |
| trials, successes and confidence level using the Normal approximation to |
| the binomial distribution.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>numberOfTrials</code> - number of trials</dd><dd><code>numberOfSuccesses</code> - number of successes</dd><dd><code>confidenceLevel</code> - desired probability that the true probability of |
| success falls within the interval</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>Confidence interval containing the probability of success with |
| probability <code>confidenceLevel</code></dd></dl> |
| </li> |
| </ul> |
| <a name="getWilsonScoreInterval(int, int, double)"> |
| <!-- --> |
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| <h4>getWilsonScoreInterval</h4> |
| <pre>public static <a href="../../../../../../org/apache/commons/math3/stat/interval/ConfidenceInterval.html" title="class in org.apache.commons.math3.stat.interval">ConfidenceInterval</a> getWilsonScoreInterval(int numberOfTrials, |
| int numberOfSuccesses, |
| double confidenceLevel)</pre> |
| <div class="block">Create a Wilson score binomial confidence interval for the true |
| probability of success of an unknown binomial distribution with the given |
| observed number of trials, successes and confidence level.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>numberOfTrials</code> - number of trials</dd><dd><code>numberOfSuccesses</code> - number of successes</dd><dd><code>confidenceLevel</code> - desired probability that the true probability of |
| success falls within the returned interval</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>Confidence interval containing the probability of success with |
| probability <code>confidenceLevel</code></dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if <code>numberOfTrials <= 0</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code> - if <code>numberOfSuccesses < 0</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>numberOfSuccesses > numberOfTrials</code>.</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>confidenceLevel</code> is not in the interval <code>(0, 1)</code>.</dd></dl> |
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