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<HTML> <BODY BGCOLOR="white"> <PRE> <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> * <p> 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> * </p><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 <code>double[]</code><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> * <p><strong>Preconditions</strong>: <ul><a name="line.40"></a> <FONT color="green">041</FONT> * <li>The categoryData <code>Collection</code> must contain<a name="line.41"></a> <FONT color="green">042</FONT> * <code>double[]</code> arrays.</li><a name="line.42"></a> <FONT color="green">043</FONT> * <li> There must be at least two <code>double[]</code> arrays in the<a name="line.43"></a> <FONT color="green">044</FONT> * <code>categoryData</code> collection and each of these arrays must<a name="line.44"></a> <FONT color="green">045</FONT> * contain at least two values.</li></ul></p><a name="line.45"></a> <FONT color="green">046</FONT> *<a name="line.46"></a> <FONT color="green">047</FONT> * @param categoryData <code>Collection</code> of <code>double[]</code><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<double[]> 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 <code>double[]</code><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> * <p><strong>Preconditions</strong>: <ul><a name="line.61"></a> <FONT color="green">062</FONT> * <li>The categoryData <code>Collection</code> must contain<a name="line.62"></a> <FONT color="green">063</FONT> * <code>double[]</code> arrays.</li><a name="line.63"></a> <FONT color="green">064</FONT> * <li> There must be at least two <code>double[]</code> arrays in the<a name="line.64"></a> <FONT color="green">065</FONT> * <code>categoryData</code> collection and each of these arrays must<a name="line.65"></a> <FONT color="green">066</FONT> * contain at least two values.</li></ul></p><a name="line.66"></a> <FONT color="green">067</FONT> *<a name="line.67"></a> <FONT color="green">068</FONT> * @param categoryData <code>Collection</code> of <code>double[]</code><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<double[]> 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> * <p><strong>Preconditions</strong>: <ul><a name="line.82"></a> <FONT color="green">083</FONT> * <li>The categoryData <code>Collection</code> must contain<a name="line.83"></a> <FONT color="green">084</FONT> * <code>double[]</code> arrays.</li><a name="line.84"></a> <FONT color="green">085</FONT> * <li> There must be at least two <code>double[]</code> arrays in the<a name="line.85"></a> <FONT color="green">086</FONT> * <code>categoryData</code> collection and each of these arrays must<a name="line.86"></a> <FONT color="green">087</FONT> * contain at least two values.</li><a name="line.87"></a> <FONT color="green">088</FONT> * <li>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> * </li></ul></p><a name="line.89"></a> <FONT color="green">090</FONT> *<a name="line.90"></a> <FONT color="green">091</FONT> * @param categoryData <code>Collection</code> of <code>double[]</code><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<double[]> 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> </PRE> </BODY> </HTML>