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/*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.commons.math.stat.inference;
import org.apache.commons.math.MathException;
import java.util.Collection;
/**
* An interface for one-way ANOVA (analysis of variance).
*
* <p> Tests for differences between two or more categories of univariate data
* (for example, the body mass index of accountants, lawyers, doctors and
* computer programmers). When two categories are given, this is equivalent to
* the {@link org.apache.commons.math.stat.inference.TTest}.
* </p>
*
* @since 1.2
* @version $Revision: 811786 $ $Date: 2009-09-06 11:36:08 +0200 (dim. 06 sept. 2009) $
*/
public interface OneWayAnova {
/**
* Computes the ANOVA F-value for a collection of <code>double[]</code>
* arrays.
*
* <p><strong>Preconditions</strong>: <ul>
* <li>The categoryData <code>Collection</code> must contain
* <code>double[]</code> arrays.</li>
* <li> There must be at least two <code>double[]</code> arrays in the
* <code>categoryData</code> collection and each of these arrays must
* contain at least two values.</li></ul></p>
*
* @param categoryData <code>Collection</code> of <code>double[]</code>
* arrays each containing data for one category
* @return Fvalue
* @throws IllegalArgumentException if the preconditions are not met
* @throws MathException if the statistic can not be computed do to a
* convergence or other numerical error.
*/
double anovaFValue(Collection<double[]> categoryData)
throws IllegalArgumentException, MathException;
/**
* Computes the ANOVA P-value for a collection of <code>double[]</code>
* arrays.
*
* <p><strong>Preconditions</strong>: <ul>
* <li>The categoryData <code>Collection</code> must contain
* <code>double[]</code> arrays.</li>
* <li> There must be at least two <code>double[]</code> arrays in the
* <code>categoryData</code> collection and each of these arrays must
* contain at least two values.</li></ul></p>
*
* @param categoryData <code>Collection</code> of <code>double[]</code>
* arrays each containing data for one category
* @return Pvalue
* @throws IllegalArgumentException if the preconditions are not met
* @throws MathException if the statistic can not be computed do to a
* convergence or other numerical error.
*/
double anovaPValue(Collection<double[]> categoryData)
throws IllegalArgumentException, MathException;
/**
* Performs an ANOVA test, evaluating the null hypothesis that there
* is no difference among the means of the data categories.
*
* <p><strong>Preconditions</strong>: <ul>
* <li>The categoryData <code>Collection</code> must contain
* <code>double[]</code> arrays.</li>
* <li> There must be at least two <code>double[]</code> arrays in the
* <code>categoryData</code> collection and each of these arrays must
* contain at least two values.</li>
* <li>alpha must be strictly greater than 0 and less than or equal to 0.5.
* </li></ul></p>
*
* @param categoryData <code>Collection</code> of <code>double[]</code>
* arrays each containing data for one category
* @param alpha significance level of the test
* @return true if the null hypothesis can be rejected with
* confidence 1 - alpha
* @throws IllegalArgumentException if the preconditions are not met
* @throws MathException if the statistic can not be computed do to a
* convergence or other numerical error.
*/
boolean anovaTest(Collection<double[]> categoryData, double alpha)
throws IllegalArgumentException, MathException;
}
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