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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).
 *
 *  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}.
 * 
 *
 * @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 double[]
     * arrays.
     *
     * Preconditions: 

     * The categoryData Collection must contain
     * double[] arrays.
     *  There must be at least two double[] arrays in the
     * categoryData collection and each of these arrays must
     * contain at least two values.

     *
     * @param categoryData Collection of double[]
     * 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 categoryData)
        throws IllegalArgumentException, MathException;

    /**
     * Computes the ANOVA P-value for a collection of double[]
     * arrays.
     *
     * Preconditions: 

     * The categoryData Collection must contain
     * double[] arrays.
     *  There must be at least two double[] arrays in the
     * categoryData collection and each of these arrays must
     * contain at least two values.

     *
     * @param categoryData Collection of double[]
     * 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 categoryData)
        throws IllegalArgumentException, MathException;

    /**
     * Performs an ANOVA test, evaluating the null hypothesis that there
     * is no difference among the means of the data categories.
     *
     * Preconditions: 

     * The categoryData Collection must contain
     * double[] arrays.
     *  There must be at least two double[] arrays in the
     * categoryData collection and each of these arrays must
     * contain at least two values.
     * alpha must be strictly greater than 0 and less than or equal to 0.5.
     * 

     *
     * @param categoryData Collection of double[]
     * 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 categoryData, double alpha)
        throws IllegalArgumentException, MathException;

}