<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0120-1751</journal-id>
<journal-title><![CDATA[Revista Colombiana de Estadística]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.Colomb.Estad.]]></abbrev-journal-title>
<issn>0120-1751</issn>
<publisher>
<publisher-name><![CDATA[Departamento de Estadística - Universidad Nacional de Colombia.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-17512006000100004</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Estudio de potencia de pruebas de homogeneidad de varianza]]></article-title>
<article-title xml:lang="en"><![CDATA[A Study of the Power of Tests for Homogeneity of Variance]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[CORREA]]></surname>
<given-names><![CDATA[JUAN CARLOS]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[IRAL]]></surname>
<given-names><![CDATA[RENÉ]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[ROJAS]]></surname>
<given-names><![CDATA[LUCINIA]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional de Colombia Escuela de Estadística ]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Nacional de Colombia Escuela de Estadística ]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad Nacional de Colombia Escuela de Estadística ]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>03</day>
<month>06</month>
<year>2006</year>
</pub-date>
<pub-date pub-type="epub">
<day>03</day>
<month>06</month>
<year>2006</year>
</pub-date>
<volume>29</volume>
<numero>1</numero>
<fpage>57</fpage>
<lpage>76</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-17512006000100004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-17512006000100004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-17512006000100004&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Se realizó un estudio vía simulación para determinar el nivel real y la po tencia de pruebas de homogeneidad de varianza que se aplican comúnmente y de otras pruebas recientemente propuestas. Los resultados permiten a los usuarios tener criterios para escoger la prueba más adecuada de acuerdo con las circunstancias.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Determining the real level of significance and the power of homogeneity of variance tests which are currently applied is the main purpose of this study. The results allow users to have criteria to choose the best test according to the circumstances.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Pruebas de homogeneidad]]></kwd>
<kwd lng="es"><![CDATA[heteroscedasticidad]]></kwd>
<kwd lng="en"><![CDATA[Tests of homogeneity]]></kwd>
<kwd lng="en"><![CDATA[Heteroscedasticity]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font size="2" face="verdana">      <p>    <center><b><font size="4">Estudio de potencia de pruebas de homogeneidad de varianza</font></b></center></p>      <p>    <center><b><font size="3">A Study of the Power of Tests for Homogeneity of Variance</font></b></center></p>      <p>    <center>JUAN CARLOS CORREA<sup>1</sup>, REN&Eacute; IRAL<sup>2</sup>, LUCINIA ROJAS<sup>3</sup></center></p>      <p><sup>1</sup>Universidad Nacional de Colombia, Escuela de Estad&iacute;stica, Medell&iacute;n, Profesor asociado. E-mail: <a href="mailto:jccorrea@unal.edu.co">jccorrea@unal.edu.co</a>    <br> <sup>2</sup>Universidad Nacional de Colombia, Escuela de Estad&iacute;stica, Medell&iacute;n, Profesor asociado. E-mail: <a href="mailto:riral@unal.edu.co">riral@unal.edu.co</a>    <br> <sup>3</sup>Universidad Nacional de Colombia, Escuela de Estad&iacute;stica, Medell&iacute;n, Profesora temporal. E-mail:<a href="mailto:lrojasp@unal.edu.co">lrojasp@unal.edu.co</a></p>  <hr size="1">      ]]></body>
<body><![CDATA[<p>    <center><b>Resumen</b></center></p>      <p>Se realiz&oacute; un estudio v&iacute;a simulaci&oacute;n para determinar el nivel real y la po tencia de pruebas de homogeneidad de varianza que se aplican com&uacute;nmente y de otras pruebas recientemente propuestas. Los resultados permiten a los usuarios tener criterios para escoger la prueba m&aacute;s adecuada de acuerdo con las circunstancias.</p>      <p><b><i>Palabras clave:</i></b> Pruebas de homogeneidad, heteroscedasticidad.</p>  <hr size="1">      <p>    <center><b>Abstract</b></center></p>      <p>Determining the real level of significance and the power of homogeneity of variance tests which are currently applied is the main purpose of this study. The results allow users to have criteria to choose the best test according to the circumstances.</p>      <p><i><b>Key words:</b></i> Tests of homogeneity, Heteroscedasticity.</p>  <hr size="1">      <p>Texto completo disponible en <a href="pdf/rce/v29n1/v29n1a04.pdf">PDF</a></p>  <hr size="1">      <p><b><font size="3">Referencias</font></b></p>      ]]></body>
<body><![CDATA[<!-- ref --><p>1. Brown, M. &amp; Forsythe (1974),&quot;Robust Test for the Equality of Variances&quot;, <i>Journal of the American Statistical Association</i> <b>69</b>(346), 364–367.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000023&pid=S0120-1751200600010000400001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>2. Cochran, W. (1941),&quot;The distribution of the largest of a set of estimated variances as a fraction of their total&quot;, <i>Annals of Eugenics</i> <b>11</b>, 47–52.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000024&pid=S0120-1751200600010000400002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>3. Conover, W., Johnson, M. E. &amp; Johnson, M. (1981),&quot;A Comparative Study of Tests for Homogeneity of Variances, with Applications to the Outer Continental Shelf Bidding Data&quot;, <i>Technometrics</i> <b>23</b>, 351– 361.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000025&pid=S0120-1751200600010000400003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>4. Fligner, M. &amp; Killeen, T. (1976),&quot;Distribution-free two simple test for scale&quot;, <i>Journal of the American Statistical Association</i> <b>71</b>(353), 210–213.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000026&pid=S0120-1751200600010000400004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>5. Hartley, H. (1950),&quot;The Maximum F-Ratio as a Short-Cut Test for Heterogeneity of Variance&quot;, <i>Biometrika</i> <b>37</b>, 308–312.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000027&pid=S0120-1751200600010000400005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>6. Layard, M. (1973),&quot;Robust Large-Sample Test for Homogeneity of Variances&quot;, <i>Journal of the American Statistical Association</i> <b>68</b>(341), 195–198.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000028&pid=S0120-1751200600010000400006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>7. Lentner, M. &amp; Bishop, T. 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(1984), <i>Analysis of Messy Data</i>, Lifetime Learning Publications, Belmont, California.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000031&pid=S0120-1751200600010000400009&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>10. Montgomery, D. (2002), <i>Dise&ntilde;o y an&aacute;lisis de experimentos</i>, 2a. edn, Editorial Limusa.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000032&pid=S0120-1751200600010000400010&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>11. Pardo, J., Pardo, M., Vicente, M. &amp; Esteban, M. 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