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<document>
<properties>
<title>Apache Commons Statistics</title>
</properties>
<body>
<section name="Apache Commons Statistics" href="summary">
<p>
Apache Commons Statistics provides utilities for statistical applications.
</p>
<p>
Support is provided for commonly used continuous and discrete distributions,
for example:
</p>
<source class="prettyprint">
TDistribution t = TDistribution.of(29);
double lowerTail = t.cumulativeProbability(-2.656); // P(T(29) &lt;= -2.656)
double upperTail = t.survivalProbability(2.75); // P(T(29) &gt; 2.75)
PoissonDistribution p = PoissonDistribution.of(4.56);
int x = p.inverseCumulativeProbability(0.99);
</source>
<p>
Hypothesis testing can be performed for various statistical tests, for example:
</p>
<source class="prettyprint">
double[] math = {53, 69, 65, 65, 67, 79, 86, 65, 62, 69}; // mean = 68.0
double[] science = {75, 65, 68, 63, 55, 65, 73, 45, 51, 52}; // mean = 61.2
SignificanceResult result = TTest.withDefaults()
.with(AlternativeHypothesis.GREATER_THAN)
.pairedTest(math, science);
result.getPValue(); // 0.05764
result.reject(0.05); // false
</source>
<p>
For more examples and advanced usage, see the <a href="userguide/index.html">userguide</a>.
</p>
</section>
<section name="Download Apache Commons Statistics">
<subsection name="Releases">
<p>
Download the
<a href="https://commons.apache.org/statistics/download_statistics.cgi">
latest release</a> of Apache Commons Statistics.
</p>
</subsection>
</section>
</body>
</document>