<?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>S0120-17512005000100006</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Una comparación entre la inferencia basada en las estadísticas de Wald y razón de verosimilitud en los modelos logit y probit vía Monte Carlo]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[LEMONTE]]></surname>
<given-names><![CDATA[ARTUR JOSÉ]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[VANEGAS]]></surname>
<given-names><![CDATA[LUIS HERNANDO]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidade Federal de Pernambuco Departamento de Estatística ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brasil</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidade Federal de Pernambuco Departamento de Estatística ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brasil</country>
</aff>
<pub-date pub-type="pub">
<day>03</day>
<month>06</month>
<year>2005</year>
</pub-date>
<pub-date pub-type="epub">
<day>03</day>
<month>06</month>
<year>2005</year>
</pub-date>
<volume>28</volume>
<numero>1</numero>
<fpage>77</fpage>
<lpage>97</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-17512005000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-17512005000100006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-17512005000100006&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Presentamos un estudio que evalúa y compara el desempeño de puebas de hipótesis e intervalos de confianza basados en la estadística de Wald con los basados en la estadística de razón de verosimilitud para los modelos logit y probit. Esta comparación se hace a través de las tasas de cobertura de los intervalos de confianza, tasas superior e inferior de los intervalos de confianza, y la potencia de la prueba de significancia. Se emplearon métodos de simulación de Monte Carlo. También se compararon las estadísticas de Wald y de razón de verosimilitud en los modelos logit y probit en presencia de errores en la especificación del modelo.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this paper we present a study which evaluates and compares the performance of hypothesis testing and confidence intervals based on Wald&rsquo; s statistic with those based on the likelihood ratio statistic for probit and logit models. We compare the rate of coverage of the confidence intervals, the maximum and minimum confidence interval coverage rate, and the power of the significance tests employing Monte Carlo simulation methods. The Wald and likelihood ratio statistics are also compared for the logit and probit models in the presence of errors in model specification.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Modelo logit]]></kwd>
<kwd lng="es"><![CDATA[modelo probit]]></kwd>
<kwd lng="es"><![CDATA[error de especificación]]></kwd>
<kwd lng="es"><![CDATA[simulación de Monte Carlo]]></kwd>
<kwd lng="es"><![CDATA[test de razón de verosimilitud]]></kwd>
<kwd lng="es"><![CDATA[test de Wald]]></kwd>
<kwd lng="en"><![CDATA[Logit model]]></kwd>
<kwd lng="en"><![CDATA[Probit model]]></kwd>
<kwd lng="en"><![CDATA[Specification errors]]></kwd>
<kwd lng="en"><![CDATA[Monte Carlo methods]]></kwd>
<kwd lng="en"><![CDATA[Likelihood ratio test]]></kwd>
<kwd lng="en"><![CDATA[Waldás test]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[   <font size="2" face="verdana">        <p>    <center><b><font size="4">Una comparaci&oacute;n entre la inferencia basada en las  estad&iacute;sticas de Wald y raz&oacute;n de verosimilitud en  los modelos logit y probit v&iacute;a Monte Carlo</font></b></center></p>        <p>    <center>ARTUR JOS&Eacute; LEMONTE<sup>1</sup> LUIS HERNANDO VANEGAS<sup>2</sup></center></p>        <p><sup>1</sup>Departamento de Estat&iacute;stica, Universidade Federal de Pernambuco, Cidade Universit&aacute;ria,  Recife/PE, 50740-540, Brasil. E-mail: <a href="mailto:artur@cox.de.ufpe.br">artur@cox.de.ufpe.br</a>    <br>  <sup>2</sup>Departamento de Estat&iacute;stica, Universidade Federal de Pernambuco, Cidade Universit&aacute;ria,  Recife/PE, 50740-540, Brasil. E-mail:<a href="mailto:hernando@cox.de.ufpe.br">hernando@cox.de.ufpe.br</a></p>      <hr size="1">        <p>    <center><b>Resumen</b></center></p>        <p>Presentamos un estudio que eval&uacute;a y compara el desempe&ntilde;o de puebas de  hip&oacute;tesis e intervalos de confianza basados en la estad&iacute;stica de Wald con  los basados en la estad&iacute;stica de raz&oacute;n de verosimilitud para los modelos  logit y probit. Esta comparaci&oacute;n se hace a trav&eacute;s de las tasas de cobertura  de los intervalos de confianza, tasas superior e inferior de los intervalos de  confianza, y la potencia de la prueba de significancia. Se emplearon m&eacute;todos  de simulaci&oacute;n de Monte Carlo. Tambi&eacute;n se compararon las estad&iacute;sticas de  Wald y de raz&oacute;n de verosimilitud en los modelos logit y probit en presencia  de errores en la especificaci&oacute;n del modelo.</p>        ]]></body>
<body><![CDATA[<p><i><b>Palabras Clave:</b> Modelo logit, modelo probit, error de especificaci&oacute;n, simulaci&oacute;n de Monte Carlo, test de raz&oacute;n de verosimilitud, test de Wald.</i></p>    <hr size="1">        <p>    <center><b>Abstract</b></center></p>        <p>In this paper we present a study which evaluates and compares the performance  of hypothesis testing and confidence intervals based on Wald&quot;s statistic  with those based on the likelihood ratio statistic for probit and logit  models. We compare the rate of coverage of the confidence intervals, the  maximum and minimum confidence interval coverage rate, and the power  of the significance tests employing Monte Carlo simulation methods. The  Wald and likelihood ratio statistics are also compared for the logit and probit  models in the presence of errors in model specification.</p>        <p><i><b>Keywords:</b> Logit model, Probit model, Specification errors, Monte Carlo  methods, Likelihood ratio test, Wald&aacute;s test.</i></p>    <hr size="1">        <p>Texto completo disponible en <a href="pdf/rce/v28n1/v28n1a06.pdf">PDF</a></p>    <hr size="1">        <p><b><font size="3">Referencias</font></b></p>        <!-- ref --><p>1. Doornik, J. (2001), <i>Ox: An Object-Oriented Matrix Language</i>, 4 edn, Timberlake  Consultants Press, London.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000020&pid=S0120-1751200500010000600001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p><font size="2" face="verdana">2. Hauck, W. W. &amp; Donner, A. (1977), &quot;Wald&quot;s test as applied to hipotesis in logit  analysis&quot;, <i>JASA</i> <b>72</b>, 851- 853.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000021&pid=S0120-1751200500010000600002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>3. Hosmer, D. &amp; Lemeshow, S. (1989), <i>Applied Logistic Regression</i>, Wiley &amp; Sons,  New York.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000022&pid=S0120-1751200500010000600003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p><font size="2" face="verdana">4. Jennings, D. E. (1986), &quot;Judgind inference adequacy logistic regression&quot;, <i>JASA</i>  <b>81</b>, 471- 476.</font>&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=S0120-1751200500010000600004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>5. McCullagh, P. &amp; Nelder, J. (1989), <i>Generalized Linear Models</i>, Chapman &amp; Hall,  New York.&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=S0120-1751200500010000600005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --> ]]></body><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Doornik]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[]]></source>
<year>2001</year>
<edition>4</edition>
<publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[Ox: An Object-Oriented Matrix LanguageTimberlake Consultants Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hauck]]></surname>
<given-names><![CDATA[W. W]]></given-names>
</name>
<name>
<surname><![CDATA[Donner]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[" Wald&rsquo; s test as applied to hipotesis in logit analysis"]]></article-title>
<source><![CDATA[JASA]]></source>
<year>1977</year>
<volume>72</volume>
<page-range>851-853</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hosmer]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Lemeshow]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<source><![CDATA[Applied Logistic Regression]]></source>
<year>1989</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley & Sons]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jennings]]></surname>
<given-names><![CDATA[D. E]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[" Judgind inference adequacy logistic regression"]]></article-title>
<source><![CDATA[JASA]]></source>
<year>1986</year>
<volume>81</volume>
<page-range>471-476</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[McCullagh]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<name>
<surname><![CDATA[Nelder]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[Generalized Linear Models]]></source>
<year>1989</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Chapman & Hall]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
