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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    package org.apache.commons.math.stat.inference;<a name="line.17"></a>
<FONT color="green">018</FONT>    <a name="line.18"></a>
<FONT color="green">019</FONT>    import org.apache.commons.math.MathException;<a name="line.19"></a>
<FONT color="green">020</FONT>    import java.util.Collection;<a name="line.20"></a>
<FONT color="green">021</FONT>    <a name="line.21"></a>
<FONT color="green">022</FONT>    /**<a name="line.22"></a>
<FONT color="green">023</FONT>     * An interface for one-way ANOVA (analysis of variance).<a name="line.23"></a>
<FONT color="green">024</FONT>     *<a name="line.24"></a>
<FONT color="green">025</FONT>     * &lt;p&gt; Tests for differences between two or more categories of univariate data<a name="line.25"></a>
<FONT color="green">026</FONT>     * (for example, the body mass index of accountants, lawyers, doctors and<a name="line.26"></a>
<FONT color="green">027</FONT>     * computer programmers).  When two categories are given, this is equivalent to<a name="line.27"></a>
<FONT color="green">028</FONT>     * the {@link org.apache.commons.math.stat.inference.TTest}.<a name="line.28"></a>
<FONT color="green">029</FONT>     * &lt;/p&gt;<a name="line.29"></a>
<FONT color="green">030</FONT>     *<a name="line.30"></a>
<FONT color="green">031</FONT>     * @since 1.2<a name="line.31"></a>
<FONT color="green">032</FONT>     * @version $Revision: 811786 $ $Date: 2009-09-06 05:36:08 -0400 (Sun, 06 Sep 2009) $<a name="line.32"></a>
<FONT color="green">033</FONT>     */<a name="line.33"></a>
<FONT color="green">034</FONT>    public interface OneWayAnova {<a name="line.34"></a>
<FONT color="green">035</FONT>    <a name="line.35"></a>
<FONT color="green">036</FONT>        /**<a name="line.36"></a>
<FONT color="green">037</FONT>         * Computes the ANOVA F-value for a collection of &lt;code&gt;double[]&lt;/code&gt;<a name="line.37"></a>
<FONT color="green">038</FONT>         * arrays.<a name="line.38"></a>
<FONT color="green">039</FONT>         *<a name="line.39"></a>
<FONT color="green">040</FONT>         * &lt;p&gt;&lt;strong&gt;Preconditions&lt;/strong&gt;: &lt;ul&gt;<a name="line.40"></a>
<FONT color="green">041</FONT>         * &lt;li&gt;The categoryData &lt;code&gt;Collection&lt;/code&gt; must contain<a name="line.41"></a>
<FONT color="green">042</FONT>         * &lt;code&gt;double[]&lt;/code&gt; arrays.&lt;/li&gt;<a name="line.42"></a>
<FONT color="green">043</FONT>         * &lt;li&gt; There must be at least two &lt;code&gt;double[]&lt;/code&gt; arrays in the<a name="line.43"></a>
<FONT color="green">044</FONT>         * &lt;code&gt;categoryData&lt;/code&gt; collection and each of these arrays must<a name="line.44"></a>
<FONT color="green">045</FONT>         * contain at least two values.&lt;/li&gt;&lt;/ul&gt;&lt;/p&gt;<a name="line.45"></a>
<FONT color="green">046</FONT>         *<a name="line.46"></a>
<FONT color="green">047</FONT>         * @param categoryData &lt;code&gt;Collection&lt;/code&gt; of &lt;code&gt;double[]&lt;/code&gt;<a name="line.47"></a>
<FONT color="green">048</FONT>         * arrays each containing data for one category<a name="line.48"></a>
<FONT color="green">049</FONT>         * @return Fvalue<a name="line.49"></a>
<FONT color="green">050</FONT>         * @throws IllegalArgumentException if the preconditions are not met<a name="line.50"></a>
<FONT color="green">051</FONT>         * @throws MathException if the statistic can not be computed do to a<a name="line.51"></a>
<FONT color="green">052</FONT>         *         convergence or other numerical error.<a name="line.52"></a>
<FONT color="green">053</FONT>         */<a name="line.53"></a>
<FONT color="green">054</FONT>        double anovaFValue(Collection&lt;double[]&gt; categoryData)<a name="line.54"></a>
<FONT color="green">055</FONT>            throws IllegalArgumentException, MathException;<a name="line.55"></a>
<FONT color="green">056</FONT>    <a name="line.56"></a>
<FONT color="green">057</FONT>        /**<a name="line.57"></a>
<FONT color="green">058</FONT>         * Computes the ANOVA P-value for a collection of &lt;code&gt;double[]&lt;/code&gt;<a name="line.58"></a>
<FONT color="green">059</FONT>         * arrays.<a name="line.59"></a>
<FONT color="green">060</FONT>         *<a name="line.60"></a>
<FONT color="green">061</FONT>         * &lt;p&gt;&lt;strong&gt;Preconditions&lt;/strong&gt;: &lt;ul&gt;<a name="line.61"></a>
<FONT color="green">062</FONT>         * &lt;li&gt;The categoryData &lt;code&gt;Collection&lt;/code&gt; must contain<a name="line.62"></a>
<FONT color="green">063</FONT>         * &lt;code&gt;double[]&lt;/code&gt; arrays.&lt;/li&gt;<a name="line.63"></a>
<FONT color="green">064</FONT>         * &lt;li&gt; There must be at least two &lt;code&gt;double[]&lt;/code&gt; arrays in the<a name="line.64"></a>
<FONT color="green">065</FONT>         * &lt;code&gt;categoryData&lt;/code&gt; collection and each of these arrays must<a name="line.65"></a>
<FONT color="green">066</FONT>         * contain at least two values.&lt;/li&gt;&lt;/ul&gt;&lt;/p&gt;<a name="line.66"></a>
<FONT color="green">067</FONT>         *<a name="line.67"></a>
<FONT color="green">068</FONT>         * @param categoryData &lt;code&gt;Collection&lt;/code&gt; of &lt;code&gt;double[]&lt;/code&gt;<a name="line.68"></a>
<FONT color="green">069</FONT>         * arrays each containing data for one category<a name="line.69"></a>
<FONT color="green">070</FONT>         * @return Pvalue<a name="line.70"></a>
<FONT color="green">071</FONT>         * @throws IllegalArgumentException if the preconditions are not met<a name="line.71"></a>
<FONT color="green">072</FONT>         * @throws MathException if the statistic can not be computed do to a<a name="line.72"></a>
<FONT color="green">073</FONT>         *         convergence or other numerical error.<a name="line.73"></a>
<FONT color="green">074</FONT>         */<a name="line.74"></a>
<FONT color="green">075</FONT>        double anovaPValue(Collection&lt;double[]&gt; categoryData)<a name="line.75"></a>
<FONT color="green">076</FONT>            throws IllegalArgumentException, MathException;<a name="line.76"></a>
<FONT color="green">077</FONT>    <a name="line.77"></a>
<FONT color="green">078</FONT>        /**<a name="line.78"></a>
<FONT color="green">079</FONT>         * Performs an ANOVA test, evaluating the null hypothesis that there<a name="line.79"></a>
<FONT color="green">080</FONT>         * is no difference among the means of the data categories.<a name="line.80"></a>
<FONT color="green">081</FONT>         *<a name="line.81"></a>
<FONT color="green">082</FONT>         * &lt;p&gt;&lt;strong&gt;Preconditions&lt;/strong&gt;: &lt;ul&gt;<a name="line.82"></a>
<FONT color="green">083</FONT>         * &lt;li&gt;The categoryData &lt;code&gt;Collection&lt;/code&gt; must contain<a name="line.83"></a>
<FONT color="green">084</FONT>         * &lt;code&gt;double[]&lt;/code&gt; arrays.&lt;/li&gt;<a name="line.84"></a>
<FONT color="green">085</FONT>         * &lt;li&gt; There must be at least two &lt;code&gt;double[]&lt;/code&gt; arrays in the<a name="line.85"></a>
<FONT color="green">086</FONT>         * &lt;code&gt;categoryData&lt;/code&gt; collection and each of these arrays must<a name="line.86"></a>
<FONT color="green">087</FONT>         * contain at least two values.&lt;/li&gt;<a name="line.87"></a>
<FONT color="green">088</FONT>         * &lt;li&gt;alpha must be strictly greater than 0 and less than or equal to 0.5.<a name="line.88"></a>
<FONT color="green">089</FONT>         * &lt;/li&gt;&lt;/ul&gt;&lt;/p&gt;<a name="line.89"></a>
<FONT color="green">090</FONT>         *<a name="line.90"></a>
<FONT color="green">091</FONT>         * @param categoryData &lt;code&gt;Collection&lt;/code&gt; of &lt;code&gt;double[]&lt;/code&gt;<a name="line.91"></a>
<FONT color="green">092</FONT>         * arrays each containing data for one category<a name="line.92"></a>
<FONT color="green">093</FONT>         * @param alpha significance level of the test<a name="line.93"></a>
<FONT color="green">094</FONT>         * @return true if the null hypothesis can be rejected with<a name="line.94"></a>
<FONT color="green">095</FONT>         * confidence 1 - alpha<a name="line.95"></a>
<FONT color="green">096</FONT>         * @throws IllegalArgumentException if the preconditions are not met<a name="line.96"></a>
<FONT color="green">097</FONT>         * @throws MathException if the statistic can not be computed do to a<a name="line.97"></a>
<FONT color="green">098</FONT>         *         convergence or other numerical error.<a name="line.98"></a>
<FONT color="green">099</FONT>         */<a name="line.99"></a>
<FONT color="green">100</FONT>        boolean anovaTest(Collection&lt;double[]&gt; categoryData, double alpha)<a name="line.100"></a>
<FONT color="green">101</FONT>            throws IllegalArgumentException, MathException;<a name="line.101"></a>
<FONT color="green">102</FONT>    <a name="line.102"></a>
<FONT color="green">103</FONT>    }<a name="line.103"></a>




























































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