<?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>S2007-09342024000700110</article-id>
<article-id pub-id-type="doi">10.29312/remexca.v15i7.3831</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Serie de experimentos para tratamientos anidados en grupos con arreglo de bloques completos balanceados]]></article-title>
<article-title xml:lang="en"><![CDATA[Series of experiments for treatments nested in groups with balanced complete block arrangement]]></article-title>
</title-group>
<contrib-group>
<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 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[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[Balbuena-Melgarejo]]></surname>
<given-names><![CDATA[Artemio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rubí-Arriaga]]></surname>
<given-names><![CDATA[Martín]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma del Estado de México Centro de Investigación y Estudios Avanzados en Fitomejoramiento (CIEAF) Facultad de Ciencias Agrícolas]]></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>11</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>11</month>
<year>2024</year>
</pub-date>
<volume>15</volume>
<numero>7</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-09342024000700110&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-09342024000700110&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-09342024000700110&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen El diseño y el análisis de diversas series de experimentos a través de años, localidades o ambos ha sido de gran relevancia en la investigación agronómica. En este estudio se extrapola, a través de ambientes, el caso presentado por Gomez y Gomez (1984) con relación al rendimiento de grano registrado en 45 variedades de arroz anidadas en tres grupos, en arreglo de bloques completos balanceados; se construye su modelo estadístico para un diseño experimental de bloques completos al azar, se incluyen las fórmulas para calcular sumas de cuadrados y se propone el procedimiento para generar una salida si fuera aplicado InfoGen. Los procedimientos se basan en: ambientes, grupos, ambientes x grupos, repeticiones dentro de ambientes, error a, ambientes x tratamientos dentro de grupos, tratamientos dentro de grupos y error b; las primeras cinco componentes definen la unidad principal (UP), y las restantes son la subunidad (SUB). Adicionalmente, son mencionadas otras formas para calcular grados de libertad para UP y SUB, así como los correspondientes al residual del modelo o error b, las cuales simplifican los cálculos manuales. Se discute la diferencia entre un análisis de varianza convencional y el que es considerado en este trabajo, con base en las sumas de cuadrados y, finalmente, se indica cómo aplicar la prueba de Tukey para la comparación de medias de variedades dentro de cada grupo si es empleado este software, InfoStat o SAS.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The design and analysis of various series of experiments across years, locations, or both have been of great relevance in agronomic research. This study extrapolates, across environments, the case presented by Gomez and Gomez (1984) in relation to the grain yield recorded in 45 varieties of rice nested in three groups in a balanced complete block arrangement; its statistical model is built for an experimental design of randomized complete blocks, formulas to calculate the sums of squares are included and the procedure to generate an output if InfoGen is applied is proposed. The procedures are based on environments, groups, environments x groups, replications within environments, error a, environments x treatments within groups, treatments within groups, and error b; the first five components define the main unit, and the remaining ones are the subunit. In addition, other ways to calculate degrees of freedom for the main unit and the subunit, as well as those corresponding to the residual of the model or error b, are mentioned, which simplify manual calculations. The difference between a conventional analysis of variance and the one considered in this work, based on the sums of squares, is discussed; finally, it is indicated how to apply Tukey&#8217;s test for the comparison of means of varieties within each group if this software, InfoStat or SAS are used.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[diseño de bloques completos al azar]]></kwd>
<kwd lng="es"><![CDATA[InfoStat]]></kwd>
<kwd lng="es"><![CDATA[suma de cuadrados y formulas cuadráticas.]]></kwd>
<kwd lng="en"><![CDATA[InfoStat]]></kwd>
<kwd lng="en"><![CDATA[random complete block design]]></kwd>
<kwd lng="en"><![CDATA[sum of squares and quadratic formulas]]></kwd>
</kwd-group>
</article-meta>
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