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 title="class in 
org.apache.commons.math3.stat.regression">MultipleLinearRegressionAbstractTest</a></code></dd>
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-<div class="block">Verifies that setting X, Y and covariance separately has 
the same effect as newSample(X,Y,cov).</div>
-</li>
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-<!--   -->
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href="../../../../../../src-html/org/apache/commons/math3/stat/regression/GLSMultipleLinearRegressionTest.html#line.196">testGLSOLSConsistency</a>()</pre>
-<div class="block">Verifies that GLS with identity covariance matrix gives the 
same results
- as OLS.</div>
-</li>
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-<a name="testGLSEfficiency()">
-<!--   -->
-</a>
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-<div class="block">Generate an error covariance matrix and sample data 
representing models
- with this error structure. Then verify that GLS estimated coefficients,
- on average, perform better than OLS.</div>
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<span class="el_source">Variance.java</s
 pan></div><h1>Variance.java</h1><pre class="source lang-java linenums">/*
- * 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 &quot;License&quot;); 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 &quot;AS IS&quot; 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.math3.stat.descriptive.moment;
-
-import java.io.Serializable;
-
-import org.apache.commons.math3.exception.MathIllegalArgumentException;
-import org.apache.commons.math3.exception.NullArgumentException;
-import org.apache.commons.math3.exception.util.LocalizedFormats;
-import org.apache.commons.math3.stat.descriptive.WeightedEvaluation;
-import 
org.apache.commons.math3.stat.descriptive.AbstractStorelessUnivariateStatistic;
-import org.apache.commons.math3.util.MathUtils;
-
-/**
- * Computes the variance of the available values.  By default, the unbiased
- * &quot;sample variance&quot; definitional formula is used:
- * &lt;p&gt;
- * variance = sum((x_i - mean)^2) / (n - 1) &lt;/p&gt;
- * &lt;p&gt;
- * where mean is the {@link Mean} and &lt;code&gt;n&lt;/code&gt; is the number
- * of sample observations.&lt;/p&gt;
- * &lt;p&gt;
- * The definitional formula does not have good numerical properties, so
- * this implementation does not compute the statistic using the definitional
- * formula. &lt;ul&gt;
- * &lt;li&gt; The &lt;code&gt;getResult&lt;/code&gt; method computes the 
variance using
- * updating formulas based on West's algorithm, as described in
- * &lt;a href=&quot;http://doi.acm.org/10.1145/359146.359152&quot;&gt; Chan, 
T. F. and
- * J. G. Lewis 1979, &lt;i&gt;Communications of the ACM&lt;/i&gt;,
- * vol. 22 no. 9, pp. 526-531.&lt;/a&gt;&lt;/li&gt;
- * &lt;li&gt; The &lt;code&gt;evaluate&lt;/code&gt; methods leverage the fact 
that they have the
- * full array of values in memory to execute a two-pass algorithm.
- * Specifically, these methods use the &quot;corrected two-pass 
algorithm&quot; from
- * Chan, Golub, Levesque, &lt;i&gt;Algorithms for Computing the Sample 
Variance&lt;/i&gt;,
- * American Statistician, vol. 37, no. 3 (1983) pp. 
242-247.&lt;/li&gt;&lt;/ul&gt;
- * Note that adding values using &lt;code&gt;increment&lt;/code&gt; or
- * &lt;code&gt;incrementAll&lt;/code&gt; and then executing 
&lt;code&gt;getResult&lt;/code&gt; will
- * sometimes give a different, less accurate, result than executing
- * &lt;code&gt;evaluate&lt;/code&gt; with the full array of values. The former 
approach
- * should only be used when the full array of values is not 
available.&lt;/p&gt;
- * &lt;p&gt;
- * The &quot;population variance&quot;  ( sum((x_i - mean)^2) / n ) can also
- * be computed using this statistic.  The 
&lt;code&gt;isBiasCorrected&lt;/code&gt;
- * property determines whether the &quot;population&quot; or 
&quot;sample&quot; value is
- * returned by the &lt;code&gt;evaluate&lt;/code&gt; and 
&lt;code&gt;getResult&lt;/code&gt; methods.
- * To compute population variances, set this property to 
&lt;code&gt;false.&lt;/code&gt;
- * &lt;/p&gt;
- * &lt;p&gt;
- * &lt;strong&gt;Note that this implementation is not 
synchronized.&lt;/strong&gt; If
- * multiple threads access an instance of this class concurrently, and at least
- * one of the threads invokes the &lt;code&gt;increment()&lt;/code&gt; or
- * &lt;code&gt;clear()&lt;/code&gt; method, it must be synchronized 
externally.&lt;/p&gt;
- *
- */
-public class Variance extends AbstractStorelessUnivariateStatistic implements 
Serializable, WeightedEvaluation {
-
-    /** Serializable version identifier */
-    private static final long serialVersionUID = -9111962718267217978L;
-
-    /** SecondMoment is used in incremental calculation of Variance*/
-<span class="pc" id="L75">    protected SecondMoment moment = null;</span>
-
-    /**
-     * Whether or not {@link #increment(double)} should increment
-     * the internal second moment. When a Variance is constructed with an
-     * external SecondMoment as a constructor parameter, this property is
-     * set to false and increments must be applied to the second moment
-     * directly.
-     */
-<span class="pc" id="L84">    protected boolean incMoment = true;</span>
-
-    /**
-     * Whether or not bias correction is applied when computing the
-     * value of the statistic. True means that bias is corrected.  See
-     * {@link Variance} for details on the formula.
-     */
-<span class="pc" id="L91">    private boolean isBiasCorrected = true;</span>
-
-    /**
-     * Constructs a Variance with default (true) 
&lt;code&gt;isBiasCorrected&lt;/code&gt;
-     * property.
-     */
-<span class="fc" id="L97">    public Variance() {</span>
-<span class="fc" id="L98">        moment = new SecondMoment();</span>
-<span class="fc" id="L99">    }</span>
-
-    /**
-     * Constructs a Variance based on an external second moment.
-     * When this constructor is used, the statistic may only be
-     * incremented via the moment, i.e., {@link #increment(double)}
-     * does nothing; whereas {@code m2.increment(value)} increments
-     * both {@code m2} and the Variance instance constructed from it.
-     *
-     * @param m2 the SecondMoment (Third or Fourth moments work
-     * here as well.)
-     */
-<span class="fc" id="L111">    public Variance(final SecondMoment m2) {</span>
-<span class="fc" id="L112">        incMoment = false;</span>
-<span class="fc" id="L113">        this.moment = m2;</span>
-<span class="fc" id="L114">    }</span>
-
-    /**
-     * Constructs a Variance with the specified 
&lt;code&gt;isBiasCorrected&lt;/code&gt;
-     * property
-     *
-     * @param isBiasCorrected  setting for bias correction - true means
-     * bias will be corrected and is equivalent to using the argumentless
-     * constructor
-     */
-<span class="fc" id="L124">    public Variance(boolean isBiasCorrected) 
{</span>
-<span class="fc" id="L125">        moment = new SecondMoment();</span>
-<span class="fc" id="L126">        this.isBiasCorrected = 
isBiasCorrected;</span>
-<span class="fc" id="L127">    }</span>
-
-    /**
-     * Constructs a Variance with the specified 
&lt;code&gt;isBiasCorrected&lt;/code&gt;
-     * property and the supplied external second moment.
-     *
-     * @param isBiasCorrected  setting for bias correction - true means
-     * bias will be corrected
-     * @param m2 the SecondMoment (Third or Fourth moments work
-     * here as well.)
-     */
-<span class="fc" id="L138">    public Variance(boolean isBiasCorrected, 
SecondMoment m2) {</span>
-<span class="fc" id="L139">        incMoment = false;</span>
-<span class="fc" id="L140">        this.moment = m2;</span>
-<span class="fc" id="L141">        this.isBiasCorrected = 
isBiasCorrected;</span>
-<span class="fc" id="L142">    }</span>
-
-    /**
-     * Copy constructor, creates a new {@code Variance} identical
-     * to the {@code original}
-     *
-     * @param original the {@code Variance} instance to copy
-     * @throws NullArgumentException if original is null
-     */
-<span class="nc" id="L151">    public Variance(Variance original) throws 
NullArgumentException {</span>
-<span class="nc" id="L152">        copy(original, this);</span>
-<span class="nc" id="L153">    }</span>
-
-    /**
-     * {@inheritDoc}
-     * &lt;p&gt;If all values are available, it is more accurate to use
-     * {@link #evaluate(double[])} rather than adding values one at a time
-     * using this method and then executing {@link #getResult}, since
-     * &lt;code&gt;evaluate&lt;/code&gt; leverages the fact that is has the 
full
-     * list of values together to execute a two-pass algorithm.
-     * See {@link Variance}.&lt;/p&gt;
-     *
-     * &lt;p&gt;Note also that when {@link #Variance(SecondMoment)} is used to
-     * create a Variance, this method does nothing. In that case, the
-     * SecondMoment should be incremented directly.&lt;/p&gt;
-     */
-    @Override
-    public void increment(final double d) {
-<span class="pc bpc" id="L170" title="1 of 2 branches missed.">        if 
(incMoment) {</span>
-<span class="fc" id="L171">            moment.increment(d);</span>
-        }
-<span class="fc" id="L173">    }</span>
-
-    /**
-     * {@inheritDoc}
-     */
-    @Override
-    public double getResult() {
-<span class="fc bfc" id="L180" title="All 2 branches covered.">            if 
(moment.n == 0) {</span>
-<span class="fc" id="L181">                return Double.NaN;</span>
-<span class="fc bfc" id="L182" title="All 2 branches covered.">            } 
else if (moment.n == 1) {</span>
-<span class="fc" id="L183">                return 0d;</span>
-            } else {
-<span class="fc bfc" id="L185" title="All 2 branches covered.">                
if (isBiasCorrected) {</span>
-<span class="fc" id="L186">                    return moment.m2 / (moment.n - 
1d);</span>
-                } else {
-<span class="fc" id="L188">                    return moment.m2 / 
(moment.n);</span>
-                }
-            }
-    }
-
-    /**
-     * {@inheritDoc}
-     */
-    public long getN() {
-<span class="fc" id="L197">        return moment.getN();</span>
-    }
-
-    /**
-     * {@inheritDoc}
-     */
-    @Override
-    public void clear() {
-<span class="pc bpc" id="L205" title="1 of 2 branches missed.">        if 
(incMoment) {</span>
-<span class="fc" id="L206">            moment.clear();</span>
-        }
-<span class="fc" id="L208">    }</span>
-
-    /**
-     * Returns the variance of the entries in the input array, or
-     * &lt;code&gt;Double.NaN&lt;/code&gt; if the array is empty.
-     * &lt;p&gt;
-     * See {@link Variance} for details on the computing algorithm.&lt;/p&gt;
-     * &lt;p&gt;
-     * Returns 0 for a single-value (i.e. length = 1) sample.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;MathIllegalArgumentException&lt;/code&gt; if the 
array is null.&lt;/p&gt;
-     * &lt;p&gt;
-     * Does not change the internal state of the statistic.&lt;/p&gt;
-     *
-     * @param values the input array
-     * @return the variance of the values or Double.NaN if length = 0
-     * @throws MathIllegalArgumentException if the array is null
-     */
-    @Override
-    public double evaluate(final double[] values) throws 
MathIllegalArgumentException {
-<span class="pc bpc" id="L228" title="1 of 2 branches missed.">        if 
(values == null) {</span>
-<span class="nc" id="L229">            throw new 
NullArgumentException(LocalizedFormats.INPUT_ARRAY);</span>
-        }
-<span class="fc" id="L231">        return evaluate(values, 0, 
values.length);</span>
-    }
-
-    /**
-     * Returns the variance of the entries in the specified portion of
-     * the input array, or &lt;code&gt;Double.NaN&lt;/code&gt; if the 
designated subarray
-     * is empty.  Note that Double.NaN may also be returned if the input
-     * includes NaN and / or infinite values.
-     * &lt;p&gt;
-     * See {@link Variance} for details on the computing algorithm.&lt;/p&gt;
-     * &lt;p&gt;
-     * Returns 0 for a single-value (i.e. length = 1) sample.&lt;/p&gt;
-     * &lt;p&gt;
-     * Does not change the internal state of the statistic.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;MathIllegalArgumentException&lt;/code&gt; if the 
array is null.&lt;/p&gt;
-     *
-     * @param values the input array
-     * @param begin index of the first array element to include
-     * @param length the number of elements to include
-     * @return the variance of the values or Double.NaN if length = 0
-     * @throws MathIllegalArgumentException if the array is null or the array 
index
-     *  parameters are not valid
-     */
-    @Override
-    public double evaluate(final double[] values, final int begin, final int 
length)
-    throws MathIllegalArgumentException {
-
-<span class="fc" id="L259">        double var = Double.NaN;</span>
-
-<span class="fc bfc" id="L261" title="All 2 branches covered.">        if 
(test(values, begin, length)) {</span>
-<span class="fc" id="L262">            clear();</span>
-<span class="fc bfc" id="L263" title="All 2 branches covered.">            if 
(length == 1) {</span>
-<span class="fc" id="L264">                var = 0.0;</span>
-<span class="pc bpc" id="L265" title="1 of 2 branches missed.">            } 
else if (length &gt; 1) {</span>
-<span class="fc" id="L266">                Mean mean = new Mean();</span>
-<span class="fc" id="L267">                double m = mean.evaluate(values, 
begin, length);</span>
-<span class="fc" id="L268">                var = evaluate(values, m, begin, 
length);</span>
-            }
-        }
-<span class="fc" id="L271">        return var;</span>
-    }
-
-    /**
-     * &lt;p&gt;Returns the weighted variance of the entries in the specified 
portion of
-     * the input array, or &lt;code&gt;Double.NaN&lt;/code&gt; if the 
designated subarray
-     * is empty.&lt;/p&gt;
-     * &lt;p&gt;
-     * Uses the formula &lt;pre&gt;
-     *   &amp;Sigma;(weights[i]*(values[i] - 
weightedMean)&lt;sup&gt;2&lt;/sup&gt;)/(&amp;Sigma;(weights[i]) - 1)
-     * &lt;/pre&gt;
-     * where weightedMean is the weighted mean&lt;/p&gt;
-     * &lt;p&gt;
-     * This formula will not return the same result as the unweighted variance 
when all
-     * weights are equal, unless all weights are equal to 1. The formula 
assumes that
-     * weights are to be treated as &quot;expansion values,&quot; as will be 
the case if for example
-     * the weights represent frequency counts. To normalize weights so that 
the denominator
-     * in the variance computation equals the length of the input vector minus 
one, use &lt;pre&gt;
-     *   &lt;code&gt;evaluate(values, MathArrays.normalizeArray(weights, 
values.length)); &lt;/code&gt;
-     * &lt;/pre&gt;
-     * &lt;p&gt;
-     * Returns 0 for a single-value (i.e. length = 1) sample.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;IllegalArgumentException&lt;/code&gt; if any of the 
following are true:
-     * &lt;ul&gt;&lt;li&gt;the values array is null&lt;/li&gt;
-     *     &lt;li&gt;the weights array is null&lt;/li&gt;
-     *     &lt;li&gt;the weights array does not have the same length as the 
values array&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains one or more infinite 
values&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains one or more NaN 
values&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains negative values&lt;/li&gt;
-     *     &lt;li&gt;the start and length arguments do not determine a valid 
array&lt;/li&gt;
-     * &lt;/ul&gt;&lt;/p&gt;
-     * &lt;p&gt;
-     * Does not change the internal state of the statistic.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;MathIllegalArgumentException&lt;/code&gt; if either 
array is null.&lt;/p&gt;
-     *
-     * @param values the input array
-     * @param weights the weights array
-     * @param begin index of the first array element to include
-     * @param length the number of elements to include
-     * @return the weighted variance of the values or Double.NaN if length = 0
-     * @throws MathIllegalArgumentException if the parameters are not valid
-     * @since 2.1
-     */
-    public double evaluate(final double[] values, final double[] weights,
-                           final int begin, final int length) throws 
MathIllegalArgumentException {
-
-<span class="fc" id="L319">        double var = Double.NaN;</span>
-
-<span class="pc bpc" id="L321" title="1 of 2 branches missed.">        if 
(test(values, weights,begin, length)) {</span>
-<span class="fc" id="L322">            clear();</span>
-<span class="pc bpc" id="L323" title="1 of 2 branches missed.">            if 
(length == 1) {</span>
-<span class="nc" id="L324">                var = 0.0;</span>
-<span class="pc bpc" id="L325" title="1 of 2 branches missed.">            } 
else if (length &gt; 1) {</span>
-<span class="fc" id="L326">                Mean mean = new Mean();</span>
-<span class="fc" id="L327">                double m = mean.evaluate(values, 
weights, begin, length);</span>
-<span class="fc" id="L328">                var = evaluate(values, weights, m, 
begin, length);</span>
-            }
-        }
-<span class="fc" id="L331">        return var;</span>
-    }
-
-    /**
-     * &lt;p&gt;
-     * Returns the weighted variance of the entries in the the input 
array.&lt;/p&gt;
-     * &lt;p&gt;
-     * Uses the formula &lt;pre&gt;
-     *   &amp;Sigma;(weights[i]*(values[i] - 
weightedMean)&lt;sup&gt;2&lt;/sup&gt;)/(&amp;Sigma;(weights[i]) - 1)
-     * &lt;/pre&gt;
-     * where weightedMean is the weighted mean&lt;/p&gt;
-     * &lt;p&gt;
-     * This formula will not return the same result as the unweighted variance 
when all
-     * weights are equal, unless all weights are equal to 1. The formula 
assumes that
-     * weights are to be treated as &quot;expansion values,&quot; as will be 
the case if for example
-     * the weights represent frequency counts. To normalize weights so that 
the denominator
-     * in the variance computation equals the length of the input vector minus 
one, use &lt;pre&gt;
-     *   &lt;code&gt;evaluate(values, MathArrays.normalizeArray(weights, 
values.length)); &lt;/code&gt;
-     * &lt;/pre&gt;
-     * &lt;p&gt;
-     * Returns 0 for a single-value (i.e. length = 1) sample.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;MathIllegalArgumentException&lt;/code&gt; if any of 
the following are true:
-     * &lt;ul&gt;&lt;li&gt;the values array is null&lt;/li&gt;
-     *     &lt;li&gt;the weights array is null&lt;/li&gt;
-     *     &lt;li&gt;the weights array does not have the same length as the 
values array&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains one or more infinite 
values&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains one or more NaN 
values&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains negative values&lt;/li&gt;
-     * &lt;/ul&gt;&lt;/p&gt;
-     * &lt;p&gt;
-     * Does not change the internal state of the statistic.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;MathIllegalArgumentException&lt;/code&gt; if either 
array is null.&lt;/p&gt;
-     *
-     * @param values the input array
-     * @param weights the weights array
-     * @return the weighted variance of the values
-     * @throws MathIllegalArgumentException if the parameters are not valid
-     * @since 2.1
-     */
-    public double evaluate(final double[] values, final double[] weights)
-    throws MathIllegalArgumentException {
-<span class="fc" id="L374">        return evaluate(values, weights, 0, 
values.length);</span>
-    }
-
-    /**
-     * Returns the variance of the entries in the specified portion of
-     * the input array, using the precomputed mean value.  Returns
-     * &lt;code&gt;Double.NaN&lt;/code&gt; if the designated subarray is empty.
-     * &lt;p&gt;
-     * See {@link Variance} for details on the computing algorithm.&lt;/p&gt;
-     * &lt;p&gt;
-     * The formula used assumes that the supplied mean value is the arithmetic
-     * mean of the sample data, not a known population parameter.  This method
-     * is supplied only to save computation when the mean has already been
-     * computed.&lt;/p&gt;
-     * &lt;p&gt;
-     * Returns 0 for a single-value (i.e. length = 1) sample.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;MathIllegalArgumentException&lt;/code&gt; if the 
array is null.&lt;/p&gt;
-     * &lt;p&gt;
-     * Does not change the internal state of the statistic.&lt;/p&gt;
-     *
-     * @param values the input array
-     * @param mean the precomputed mean value
-     * @param begin index of the first array element to include
-     * @param length the number of elements to include
-     * @return the variance of the values or Double.NaN if length = 0
-     * @throws MathIllegalArgumentException if the array is null or the array 
index
-     *  parameters are not valid
-     */
-    public double evaluate(final double[] values, final double mean,
-            final int begin, final int length) throws 
MathIllegalArgumentException {
-
-<span class="fc" id="L406">        double var = Double.NaN;</span>
-
-<span class="pc bpc" id="L408" title="1 of 2 branches missed.">        if 
(test(values, begin, length)) {</span>
-<span class="pc bpc" id="L409" title="1 of 2 branches missed.">            if 
(length == 1) {</span>
-<span class="nc" id="L410">                var = 0.0;</span>
-<span class="pc bpc" id="L411" title="1 of 2 branches missed.">            } 
else if (length &gt; 1) {</span>
-<span class="fc" id="L412">                double accum = 0.0;</span>
-<span class="fc" id="L413">                double dev = 0.0;</span>
-<span class="fc" id="L414">                double accum2 = 0.0;</span>
-<span class="fc bfc" id="L415" title="All 2 branches covered.">                
for (int i = begin; i &lt; begin + length; i++) {</span>
-<span class="fc" id="L416">                    dev = values[i] - mean;</span>
-<span class="fc" id="L417">                    accum += dev * dev;</span>
-<span class="fc" id="L418">                    accum2 += dev;</span>
-                }
-<span class="fc" id="L420">                double len = length;</span>
-<span class="fc bfc" id="L421" title="All 2 branches covered.">                
if (isBiasCorrected) {</span>
-<span class="fc" id="L422">                    var = (accum - (accum2 * accum2 
/ len)) / (len - 1.0);</span>
-                } else {
-<span class="fc" id="L424">                    var = (accum - (accum2 * accum2 
/ len)) / len;</span>
-                }
-            }
-        }
-<span class="fc" id="L428">        return var;</span>
-    }
-
-    /**
-     * Returns the variance of the entries in the input array, using the
-     * precomputed mean value.  Returns &lt;code&gt;Double.NaN&lt;/code&gt; if 
the array
-     * is empty.
-     * &lt;p&gt;
-     * See {@link Variance} for details on the computing algorithm.&lt;/p&gt;
-     * &lt;p&gt;
-     * If &lt;code&gt;isBiasCorrected&lt;/code&gt; is 
&lt;code&gt;true&lt;/code&gt; the formula used
-     * assumes that the supplied mean value is the arithmetic mean of the
-     * sample data, not a known population parameter.  If the mean is a known
-     * population parameter, or if the &quot;population&quot; version of the 
variance is
-     * desired, set &lt;code&gt;isBiasCorrected&lt;/code&gt; to 
&lt;code&gt;false&lt;/code&gt; before
-     * invoking this method.&lt;/p&gt;
-     * &lt;p&gt;
-     * Returns 0 for a single-value (i.e. length = 1) sample.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;MathIllegalArgumentException&lt;/code&gt; if the 
array is null.&lt;/p&gt;
-     * &lt;p&gt;
-     * Does not change the internal state of the statistic.&lt;/p&gt;
-     *
-     * @param values the input array
-     * @param mean the precomputed mean value
-     * @return the variance of the values or Double.NaN if the array is empty
-     * @throws MathIllegalArgumentException if the array is null
-     */
-    public double evaluate(final double[] values, final double mean) throws 
MathIllegalArgumentException {
-<span class="fc" id="L457">        return evaluate(values, mean, 0, 
values.length);</span>
-    }
-
-    /**
-     * Returns the weighted variance of the entries in the specified portion of
-     * the input array, using the precomputed weighted mean value.  Returns
-     * &lt;code&gt;Double.NaN&lt;/code&gt; if the designated subarray is empty.
-     * &lt;p&gt;
-     * Uses the formula &lt;pre&gt;
-     *   &amp;Sigma;(weights[i]*(values[i] - 
mean)&lt;sup&gt;2&lt;/sup&gt;)/(&amp;Sigma;(weights[i]) - 1)
-     * &lt;/pre&gt;&lt;/p&gt;
-     * &lt;p&gt;
-     * The formula used assumes that the supplied mean value is the weighted 
arithmetic
-     * mean of the sample data, not a known population parameter. This method
-     * is supplied only to save computation when the mean has already been
-     * computed.&lt;/p&gt;
-     * &lt;p&gt;
-     * This formula will not return the same result as the unweighted variance 
when all
-     * weights are equal, unless all weights are equal to 1. The formula 
assumes that
-     * weights are to be treated as &quot;expansion values,&quot; as will be 
the case if for example
-     * the weights represent frequency counts. To normalize weights so that 
the denominator
-     * in the variance computation equals the length of the input vector minus 
one, use &lt;pre&gt;
-     *   &lt;code&gt;evaluate(values, MathArrays.normalizeArray(weights, 
values.length), mean); &lt;/code&gt;
-     * &lt;/pre&gt;
-     * &lt;p&gt;
-     * Returns 0 for a single-value (i.e. length = 1) sample.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;MathIllegalArgumentException&lt;/code&gt; if any of 
the following are true:
-     * &lt;ul&gt;&lt;li&gt;the values array is null&lt;/li&gt;
-     *     &lt;li&gt;the weights array is null&lt;/li&gt;
-     *     &lt;li&gt;the weights array does not have the same length as the 
values array&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains one or more infinite 
values&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains one or more NaN 
values&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains negative values&lt;/li&gt;
-     *     &lt;li&gt;the start and length arguments do not determine a valid 
array&lt;/li&gt;
-     * &lt;/ul&gt;&lt;/p&gt;
-     * &lt;p&gt;
-     * Does not change the internal state of the statistic.&lt;/p&gt;
-     *
-     * @param values the input array
-     * @param weights the weights array
-     * @param mean the precomputed weighted mean value
-     * @param begin index of the first array element to include
-     * @param length the number of elements to include
-     * @return the variance of the values or Double.NaN if length = 0
-     * @throws MathIllegalArgumentException if the parameters are not valid
-     * @since 2.1
-     */
-    public double evaluate(final double[] values, final double[] weights,
-    final double mean, final int begin, final int length)
-    throws MathIllegalArgumentException {
-
-<span class="fc" id="L509">        double var = Double.NaN;</span>
-
-<span class="pc bpc" id="L511" title="1 of 2 branches missed.">        if 
(test(values, weights, begin, length)) {</span>
-<span class="pc bpc" id="L512" title="1 of 2 branches missed.">            if 
(length == 1) {</span>
-<span class="nc" id="L513">                var = 0.0;</span>
-<span class="pc bpc" id="L514" title="1 of 2 branches missed.">            } 
else if (length &gt; 1) {</span>
-<span class="fc" id="L515">                double accum = 0.0;</span>
-<span class="fc" id="L516">                double dev = 0.0;</span>
-<span class="fc" id="L517">                double accum2 = 0.0;</span>
-<span class="fc bfc" id="L518" title="All 2 branches covered.">                
for (int i = begin; i &lt; begin + length; i++) {</span>
-<span class="fc" id="L519">                    dev = values[i] - mean;</span>
-<span class="fc" id="L520">                    accum += weights[i] * (dev * 
dev);</span>
-<span class="fc" id="L521">                    accum2 += weights[i] * 
dev;</span>
-                }
-
-<span class="fc" id="L524">                double sumWts = 0;</span>
-<span class="fc bfc" id="L525" title="All 2 branches covered.">                
for (int i = begin; i &lt; begin + length; i++) {</span>
-<span class="fc" id="L526">                    sumWts += weights[i];</span>
-                }
-
-<span class="pc bpc" id="L529" title="1 of 2 branches missed.">                
if (isBiasCorrected) {</span>
-<span class="fc" id="L530">                    var = (accum - (accum2 * accum2 
/ sumWts)) / (sumWts - 1.0);</span>
-                } else {
-<span class="nc" id="L532">                    var = (accum - (accum2 * accum2 
/ sumWts)) / sumWts;</span>
-                }
-            }
-        }
-<span class="fc" id="L536">        return var;</span>
-    }
-
-    /**
-     * &lt;p&gt;Returns the weighted variance of the values in the input 
array, using
-     * the precomputed weighted mean value.&lt;/p&gt;
-     * &lt;p&gt;
-     * Uses the formula &lt;pre&gt;
-     *   &amp;Sigma;(weights[i]*(values[i] - 
mean)&lt;sup&gt;2&lt;/sup&gt;)/(&amp;Sigma;(weights[i]) - 1)
-     * &lt;/pre&gt;&lt;/p&gt;
-     * &lt;p&gt;
-     * The formula used assumes that the supplied mean value is the weighted 
arithmetic
-     * mean of the sample data, not a known population parameter. This method
-     * is supplied only to save computation when the mean has already been
-     * computed.&lt;/p&gt;
-     * &lt;p&gt;
-     * This formula will not return the same result as the unweighted variance 
when all
-     * weights are equal, unless all weights are equal to 1. The formula 
assumes that
-     * weights are to be treated as &quot;expansion values,&quot; as will be 
the case if for example
-     * the weights represent frequency counts. To normalize weights so that 
the denominator
-     * in the variance computation equals the length of the input vector minus 
one, use &lt;pre&gt;
-     *   &lt;code&gt;evaluate(values, MathArrays.normalizeArray(weights, 
values.length), mean); &lt;/code&gt;
-     * &lt;/pre&gt;
-     * &lt;p&gt;
-     * Returns 0 for a single-value (i.e. length = 1) sample.&lt;/p&gt;
-     * &lt;p&gt;
-     * Throws &lt;code&gt;MathIllegalArgumentException&lt;/code&gt; if any of 
the following are true:
-     * &lt;ul&gt;&lt;li&gt;the values array is null&lt;/li&gt;
-     *     &lt;li&gt;the weights array is null&lt;/li&gt;
-     *     &lt;li&gt;the weights array does not have the same length as the 
values array&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains one or more infinite 
values&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains one or more NaN 
values&lt;/li&gt;
-     *     &lt;li&gt;the weights array contains negative values&lt;/li&gt;
-     * &lt;/ul&gt;&lt;/p&gt;
-     * &lt;p&gt;
-     * Does not change the internal state of the statistic.&lt;/p&gt;
-     *
-     * @param values the input array
-     * @param weights the weights array
-     * @param mean the precomputed weighted mean value
-     * @return the variance of the values or Double.NaN if length = 0
-     * @throws MathIllegalArgumentException if the parameters are not valid
-     * @since 2.1
-     */
-    public double evaluate(final double[] values, final double[] weights, 
final double mean)
-    throws MathIllegalArgumentException {
-<span class="nc" id="L582">        return evaluate(values, weights, mean, 0, 
values.length);</span>
-    }
-
-    /**
-     * @return Returns the isBiasCorrected.
-     */
-    public boolean isBiasCorrected() {
-<span class="nc" id="L589">        return isBiasCorrected;</span>
-    }
-
-    /**
-     * @param biasCorrected The isBiasCorrected to set.
-     */
-    public void setBiasCorrected(boolean biasCorrected) {
-<span class="fc" id="L596">        this.isBiasCorrected = biasCorrected;</span>
-<span class="fc" id="L597">    }</span>
-
-    /**
-     * {@inheritDoc}
-     */
-    @Override
-    public Variance copy() {
-<span class="fc" id="L604">        Variance result = new Variance();</span>
-        // No try-catch or advertised exception because parameters are 
guaranteed non-null
-<span class="fc" id="L606">        copy(this, result);</span>
-<span class="fc" id="L607">        return result;</span>
-    }
-
-    /**
-     * Copies source to dest.
-     * &lt;p&gt;Neither source nor dest can be null.&lt;/p&gt;
-     *
-     * @param source Variance to copy
-     * @param dest Variance to copy to
-     * @throws NullArgumentException if either source or dest is null
-     */
-    public static void copy(Variance source, Variance dest)
-        throws NullArgumentException {
-<span class="fc" id="L620">        MathUtils.checkNotNull(source);</span>
-<span class="fc" id="L621">        MathUtils.checkNotNull(dest);</span>
-<span class="fc" id="L622">        dest.setData(source.getDataRef());</span>
-<span class="fc" id="L623">        dest.moment = source.moment.copy();</span>
-<span class="fc" id="L624">        dest.isBiasCorrected = 
source.isBiasCorrected;</span>
-<span class="fc" id="L625">        dest.incMoment = source.incMoment;</span>
-<span class="fc" id="L626">    }</span>
-}
-</pre><div class="footer"><span class="right">Created with <a 
href="http://www.eclemma.org/jacoco";>JaCoCo</a> 
0.7.5.201505241946</span></div></body></html>
\ No newline at end of file

http://git-wip-us.apache.org/repos/asf/commons-complex/blob/b3576eeb/site-content/.svn/pristine/05/050a03d311c74167d150b8d5086efddb09f88041.svn-base
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diff --git 
a/site-content/.svn/pristine/05/050a03d311c74167d150b8d5086efddb09f88041.svn-base
 
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--- 
a/site-content/.svn/pristine/05/050a03d311c74167d150b8d5086efddb09f88041.svn-base
+++ /dev/null
@@ -1,117 +0,0 @@
-<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" 
"http://www.w3.org/TR/html4/loose.dtd";>
-<!-- NewPage -->
-<html lang="en">
-<head>
-<meta http-equiv="Content-Type" content="text/html" charset="UTF-8">
-<title>Uses of Class org.apache.commons.math3.linear.FieldLUSolverTest (Apache 
Commons Math 3.5 Test API)</title>
-<link rel="stylesheet" type="text/css" href="../../../../../../stylesheet.css" 
title="Style">
-</head>
-<body>
-<script type="text/javascript"><!--
-    if (location.href.indexOf('is-external=true') == -1) {
-        parent.document.title="Uses of Class 
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-    }
-//-->
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-</noscript>
-<!-- ========= START OF TOP NAVBAR ======= -->
-<div class="topNav"><a name="navbar_top">
-<!--   -->
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-<ul class="navList" title="Navigation">
-<li><a href="../../../../../../overview-summary.html">Overview</a></li>
-<li><a href="../package-summary.html">Package</a></li>
-<li><a 
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-<li class="navBarCell1Rev">Use</li>
-<li><a href="../package-tree.html">Tree</a></li>
-<li><a href="../../../../../../deprecated-list.html">Deprecated</a></li>
-<li><a href="../../../../../../index-all.html">Index</a></li>
-<li><a href="../../../../../../help-doc.html">Help</a></li>
-</ul>
-<div class="aboutLanguage"><em><script type="text/javascript" 
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