<?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>S0120-17512008000200012</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Análisis de la evolución en el tiempo para datos con estructura de grupos: STATIS dual canónico y modelo de medidas repetidas doblemente multivariantes]]></article-title>
<article-title xml:lang="en"><![CDATA[Analysis of Time Evolution for Group Structured Data: Canonical Dual STATIS and Doubly Multivariate Repeated Measures Model]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[VALLEJO]]></surname>
<given-names><![CDATA[AMPARO]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[VICENTE]]></surname>
<given-names><![CDATA[JOSÉ LUIS]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[GALINDO]]></surname>
<given-names><![CDATA[PURIFICACIÓN]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[FERNÁNDEZ]]></surname>
<given-names><![CDATA[MARGARITA]]></given-names>
</name>
<xref ref-type="aff" rid="A04"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[FERNÁNDEZ]]></surname>
<given-names><![CDATA[CAMINO]]></given-names>
</name>
<xref ref-type="aff" rid="A05"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[BÉCARES]]></surname>
<given-names><![CDATA[ELOY]]></given-names>
</name>
<xref ref-type="aff" rid="A06"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad de Antioquia  Departamento de Matemáticas]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad de Salamanca  ]]></institution>
<addr-line><![CDATA[Salamanca ]]></addr-line>
<country>España</country>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad de Salamanca  ]]></institution>
<addr-line><![CDATA[Salamanca ]]></addr-line>
<country>España</country>
</aff>
<aff id="A04">
<institution><![CDATA[,Universidad de León  ]]></institution>
<addr-line><![CDATA[León ]]></addr-line>
<country>España</country>
</aff>
<aff id="A05">
<institution><![CDATA[,Universidad de León  ]]></institution>
<addr-line><![CDATA[León ]]></addr-line>
<country>España</country>
</aff>
<aff id="A06">
<institution><![CDATA[,Universidad de León  ]]></institution>
<addr-line><![CDATA[León ]]></addr-line>
<country>España</country>
</aff>
<pub-date pub-type="pub">
<day>15</day>
<month>12</month>
<year>2008</year>
</pub-date>
<pub-date pub-type="epub">
<day>15</day>
<month>12</month>
<year>2008</year>
</pub-date>
<volume>31</volume>
<numero>2</numero>
<fpage>321</fpage>
<lpage>340</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-17512008000200012&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-17512008000200012&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-17512008000200012&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este trabajo proponemos dos soluciones al problema que se plantea cuando se pretende analizar datos multivariantes, para un conjunto de individuos con estructura de grupos, que además han sido replicados bien sea en ocasiones o en situaciones experimentales diferentes. La primera solución se obtiene aplicando la versión dual del STATIS canónico propuesto por Vallejo-Arboleda et al. (2007); la segunda, aplicando el modelo de medidas repetidas doblemente multivariantes. Usamos los datos del proyecto SWALE (Stephen et al. 2004) para una selección de 7 variables físico-químicas medidas para 4 tratamientos, cada uno con 9 réplicas, durante 4 semanas (elegidas entre las 10 iniciales del proyecto) para comparar las dos soluciones.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this work we propose two solutions to the problem we consider when we have multivariate experimental data of individuals with structure of groups that have been repeated at different occasions or experimental situations. We obtain the first solution applying dual version of canonical STATIS proposed by Vallejo-Arboleda et al. (2007), and the second with doubly multivariate repeated measures model. We use the data of SWALE project (Stephen et al. 2004), with 7 physical-chemical variables, measured in 4 treatments, each one with 9 repetitions and during 4 weeks (selected between 10 original weeks in the project) to compare these solutions.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Análisis canónico]]></kwd>
<kwd lng="es"><![CDATA[medidas repetidas]]></kwd>
<kwd lng="en"><![CDATA[Canonical analysis]]></kwd>
<kwd lng="en"><![CDATA[Repeated measurements]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ 
<font size="2" face="verdana">

    <p>
<b>
<font size="4">
    <center>
An&aacute;lisis de la evoluci&oacute;n en el tiempo para datos con estructura de grupos: STATIS dual can&oacute;nico y modelo de                   medidas repetidas doblemente multivariantes
</center>
</font>
</b>
</p>

    <p>
<b>
<font size="3">
    <center>
Analysis of Time Evolution for Group Structured Data: Canonical Dual STATIS and Doubly Multivariate Repeated Measures Model
</center>
</font>
</b>
</p>

    <p>
    <center>
AMPARO VALLEJO<sup>1</sup>, 
JOS&Eacute; LUIS VICENTE<sup>2</sup>, 
PURIFICACI&Oacute;N GALINDO<sup>3</sup>, 
MARGARITA FERN&Aacute;NDEZ<sup>4</sup>, 
CAMINO FERN&Aacute;NDEZ<sup>5</sup>, 
ELOY B&Eacute;CARES<sup>6</sup>
</center>
</p>

    <p>
<sup>1</sup>Universidad de Antioquia, Departamento de Matem&aacute;ticas, Medell&iacute;n, Colombia. Profesora. Email: <a href="mailto:avallejo@matematicas.udea.edu.co">avallejo@matematicas.udea.edu.co</a>
    <br>

<sup>2</sup>Universidad de Salamanca, Salamanca, Espa&ntilde;a. Profesor. Email: <a href="mailto:villardon@usal.es">villardon@usal.es</a>
    <br>

<sup>3</sup>Universidad de Salamanca, Salamanca, Espa&ntilde;a. Profesora. Email: <a href="mailto:pgalindo@usal.es">pgalindo@usal.es</a>
    ]]></body>
<body><![CDATA[<br>

<sup>4</sup>Universidad de Le&oacute;n, Le&oacute;n, Espa&ntilde;a. Profesora. Email: <a href="mailto:margarita.alaez@unileon.es">margarita.alaez@unileon.es</a>
    <br>

<sup>5</sup>Universidad de Le&oacute;n, Le&oacute;n, Espa&ntilde;a. Profesora. Email: <a href="mailto:camino.alaez@unileon.es">camino.alaez@unileon.es</a>
    <br>

<sup>6</sup>Universidad de Le&oacute;n, Le&oacute;n, Espa&ntilde;a. Profesor. Email: <a href="mailto:ebecm@unileon.es">ebecm@unileon.es</a>
    <br>
</p>

<hr size="1">

    <p>
<b>
    <center>
Resumen
</center>
</b>
</p>

    <p>
En este trabajo proponemos dos soluciones al problema que se plantea cuando se pretende analizar datos multivariantes, para un conjunto de individuos con estructura de grupos, que adem&aacute;s han sido replicados bien sea en ocasiones o en situaciones experimentales diferentes. La primera soluci&oacute;n se obtiene aplicando la versi&oacute;n dual del STATIS can&oacute;nico propuesto por Vallejo-Arboleda et al. (2007); la segunda, aplicando el modelo de medidas repetidas doblemente multivariantes. Usamos los datos del proyecto SWALE (Stephen et al. 2004) para una selecci&oacute;n de 7 variables f&iacute;sico-qu&iacute;micas medidas para 4 tratamientos, cada uno con 9 r&eacute;plicas, durante 4 semanas (elegidas entre las 10 iniciales del proyecto) para comparar las dos soluciones.
</p>

    <p>
<b>
Palabras clave:
</b>
An&aacute;lisis can&oacute;nico,
medidas repetidas.
</p>

<hr size="1">

    <p>
<b>
    <center>
Abstract
</center>
</b>
</p>

    ]]></body>
<body><![CDATA[<p>
In this work we propose two solutions to the problem we consider when we have multivariate experimental data of individuals with structure of groups that have been repeated at different occasions or experimental situations. We obtain the first solution applying dual version of canonical STATIS proposed by Vallejo-Arboleda et al. (2007), and the second with doubly multivariate repeated measures model. We use the data of SWALE project (Stephen et al. 2004), with 7 physical-chemical variables, measured in 4 treatments, each one with 9 repetitions and during 4 weeks (selected between 10 original weeks in the project) to compare these solutions.
</p>

    <p>
<b>
Key words:
</b>
Canonical analysis,
Repeated measurements.
</p>

<hr size="1">

    <p>
Texto completo disponible en <a href="pdf/rce/v31n2/v31n2a12.pdf">PDF</a>
</p>

<hr size="1">

    <p>
<b>
<font size="3">
Referencias
</font>
</b>
</p>


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13. Vallejo, G., Fidalgo, A. M. & Fern&aacute;ndez, P. (1998), `Efectos de la no esfericidad en el an&aacute;lisis de dise&ntilde;os multivariados de medidas repetidas´, <i>Anales de psicolog&iacute;a</i> <b>14</b>(2), 249-268.
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14. Vallejo-Arboleda, A., Vicente-Villard&oacute;n, J. L. & Galindo-Villard&oacute;n, M. P. (2007), `Canonical STATIS: Biplot Analysis of Multi-Table Group Structured Data Based on Statis-Act Methodology´, <i>Comput. Statist. Data Anal.</i> <b>51</b>(9), 4193-4205.
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<b>&#91;Recibido en noviembre de 2007. Aceptado en octubre de 2008&#93;</b>
</center>
<hr size="1">

    ]]></body>
<body><![CDATA[<p>
Este art&iacute;culo se puede citar en <i>LaTeX</i> utilizando la siguiente referencia bibliogr&aacute;fica de <i>BibTeX</i>:
</p>
<code><font size="2">@ARTICLE{RCEv31n2a12,    <br>
 &nbsp;&nbsp;&nbsp; AUTHOR &nbsp;= {Vallejo, Amparo and Vicente, Jos&eacute; Luis and Galindo, Purificaci&oacute;n and Fern&aacute;ndez, Margarita and Fern&aacute;ndez, Camino and B&eacute;cares, Eloy},    <br>
 &nbsp;&nbsp;&nbsp; TITLE &nbsp; = {{An&aacute;lisis de la evoluci&oacute;n en el tiempo para datos con estructura de grupos: STATIS dual can&oacute;nico y modelo de                   medidas repetidas doblemente multivariantes}},    <br>
 &nbsp;&nbsp;&nbsp; JOURNAL = {Revista Colombiana de Estad&iacute;stica},    <br>
&nbsp;&nbsp;&nbsp; YEAR &nbsp;&nbsp; = {2008},    <br>
&nbsp;&nbsp;&nbsp; volume &nbsp;= {31},    <br>
&nbsp;&nbsp;&nbsp; number &nbsp;= {2},    <br>
&nbsp;&nbsp;&nbsp; pages &nbsp; = {321-340}    <br>
}</font></code>

<hr size="1">
</font>
     ]]></body><back>
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<source><![CDATA[RV Coefficient and Congruent Coefficient]]></source>
<year>2007</year>
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<article-title xml:lang="fr"><![CDATA[`Le traitement des variables vectorielles´]]></article-title>
<source><![CDATA[Biometrics]]></source>
<year>1973</year>
<volume>29</volume>
<page-range>751-760</page-range></nlm-citation>
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<label>5</label><nlm-citation citation-type="journal">
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