<?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>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332016000200475</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Simplificación del gradiente de la función de máxima verosimilitud del análisis factorial confirmatorio]]></article-title>
<article-title xml:lang="en"><![CDATA[Simplification to the maximum likelihood function in confirmatory factor analysis]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rojas-Torres]]></surname>
<given-names><![CDATA[Luis]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Costa Rica  Escuela de Matemática]]></institution>
<addr-line><![CDATA[ San José]]></addr-line>
<country>CR</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<volume>23</volume>
<numero>2</numero>
<fpage>475</fpage>
<lpage>488</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332016000200475&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332016000200475&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332016000200475&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[ResumenEn este artículo se presenta el proceso de simplificación del gradientede la función de máxima verosimilitud, utilizada en la estimación delAnálisis Factorial Confirmatorio. El gradiente obtenido se presenta enfunción de las matrices tradicionales del AFC: &#923;, &#934; y &#920;&#949; (coeficientesde regresión, varianzas de las variables latentes y varianzas de los errores).Esta simplificación se realizó mediante las leyes de derivación de matricesy permitió obtener una expresión para el gradiente de fácil programación.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[AbstractThis paper present the process of simplification of the function maximum likelihood gradient, used in the estimation of confirmatory factoranalysis. The gradient obtained is presented in function of CFA traditionalmatrix: &#923;, &#934; y &#920;&#949; (regression coefficients, variances of latent variablesand error variances). This simplification was performed using matricesderivation laws and yielded an expression for the gradient easy for programing.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[gradiente]]></kwd>
<kwd lng="es"><![CDATA[función de máxima verosimilitud]]></kwd>
<kwd lng="es"><![CDATA[análisis factorialconfirmatorio]]></kwd>
<kwd lng="es"><![CDATA[derivación de matrices]]></kwd>
<kwd lng="en"><![CDATA[gradient]]></kwd>
<kwd lng="en"><![CDATA[maximum likelihood function]]></kwd>
<kwd lng="en"><![CDATA[confirmatory factor analysis]]></kwd>
<kwd lng="en"><![CDATA[matrices derivation]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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