<?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>2007-0934</journal-id>
<journal-title><![CDATA[Revista mexicana de ciencias agrícolas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mex. Cienc. Agríc]]></abbrev-journal-title>
<issn>2007-0934</issn>
<publisher>
<publisher-name><![CDATA[Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2007-09342025000200116</article-id>
<article-id pub-id-type="doi">10.29312/remexca.v16i2.3926</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Parcelas divididas en cuadro latino: modelos estadísticos y fórmulas sin y con submuestreo]]></article-title>
<article-title xml:lang="en"><![CDATA[Split plots in a Latin square: statistical models and formulas without and with subsampling]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-González]]></surname>
<given-names><![CDATA[José Antonio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pérez-López]]></surname>
<given-names><![CDATA[Delfina de Jesús]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández-Ávila]]></surname>
<given-names><![CDATA[Jesús]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Balbuena-Melgarejo]]></surname>
<given-names><![CDATA[Artemio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Franco-Martínez]]></surname>
<given-names><![CDATA[J. Ramón Pascual]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[González-Huerta]]></surname>
<given-names><![CDATA[Andrés]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma del Estado de México Facultad de Ciencias Agrícolas-Campus Universitario ]]></institution>
<addr-line><![CDATA[Toluca de Lerdo Estado de México]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Autónoma del Estado de México Facultad de Ciencias Agrícolas Centro de Investigación y Estudios Avanzados en Fitomejoramiento]]></institution>
<addr-line><![CDATA[Toluca de Lerdo Estado de México]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>03</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>03</month>
<year>2025</year>
</pub-date>
<volume>16</volume>
<numero>2</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-09342025000200116&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-09342025000200116&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-09342025000200116&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Se ha publicado poca información para un arreglo en parcelas divididas para un diseño en cuadro latino. En esta investigación se construyen sus modelos estadísticos, y las fórmulas que permitan obtener grados de libertad y suma de cuadrados considerando las metodologías de mínimos cuadrados y formas cuadráticas o matriciales, sin y con submuestreo balanceado. Se parte de la suposición de que no hay interacción entre hileras, columnas y factor A, pero se indica cómo llegar a los mismos resultados introduciendo el principio de cruzamiento y anidamiento, particularmente si será aplicado InfoStat o InfoGen, se sugiere utilizar la diferencia principal entre las salidas que generan ambos paquetes estadísticos para subdividir al error conjunto en error muestral y error experimental, pero también se hace énfasis en las fórmulas que fueron derivadas para su cálculo directo.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Little information has been published for a split-plot arrangement for a Latin square design. This research builds statistical models and the formulas that allow obtaining degrees of freedom and sum of squares considering the methodologies of least squares and quadratic or matrix forms, without and with balanced subsampling. It is assumed that there is no interaction between rows, columns and factor A; however, it is indicated how to arrive at the same results by introducing the principle of crossing and nesting, particularly if InfoStat or InfoGen will be applied, it is suggested to use the main difference between the outputs generated by both statistical packages to subdivide the joint error into sampling error and experimental error; nevertheless, emphasis is also placed on the formulas that were derived for their direct calculation.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[experimentos bifactoriales]]></kwd>
<kwd lng="es"><![CDATA[formas cuadráticas o matriciales]]></kwd>
<kwd lng="es"><![CDATA[mínimos cuadrados]]></kwd>
<kwd lng="en"><![CDATA[least squares]]></kwd>
<kwd lng="en"><![CDATA[quadratic or matrix forms]]></kwd>
<kwd lng="en"><![CDATA[two-factor experiments]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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