<?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>2007-7467</journal-id>
<journal-title><![CDATA[RIDE. Revista Iberoamericana para la Investigación y el Desarrollo Educativo]]></journal-title>
<abbrev-journal-title><![CDATA[RIDE. Rev. Iberoam. Investig. Desarro. Educ]]></abbrev-journal-title>
<issn>2007-7467</issn>
<publisher>
<publisher-name><![CDATA[Centro de Estudios e Investigaciones para el Desarrollo Docente A.C.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2007-74672022000200046</article-id>
<article-id pub-id-type="doi">10.23913/ride.v13i25.1322</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Construcción de índices de capacidad para el análisis y evaluación de procesos con múltiples respuestas]]></article-title>
<article-title xml:lang="en"><![CDATA[Construction of Capacity Indices for the Analysis and Evaluation of Processes with Multiple Responses]]></article-title>
<article-title xml:lang="pt"><![CDATA[Construção de índices de capacidade para análise e avaliação de processos com múltiplas respostas]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Cuamea Cruz]]></surname>
<given-names><![CDATA[Guillermo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez Medina]]></surname>
<given-names><![CDATA[Manuel Arnoldo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Poblano Ojinaga]]></surname>
<given-names><![CDATA[Eduardo Rafael]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[García Martínez]]></surname>
<given-names><![CDATA[Rafael]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sandoval Chávez]]></surname>
<given-names><![CDATA[Diego Adiel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Sonora  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Tecnológico Nacional de México Instituto Tecnológico de Ciudad Juárez ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Tecnológico Nacional de México Instituto Tecnológico de Ciudad Juárez ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Tecnológico Nacional de México Instituto Tecnológico de Hermosillo ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Tecnológico Nacional de México Instituto Tecnológico de Ciudad Juárez ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2022</year>
</pub-date>
<volume>13</volume>
<numero>25</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-74672022000200046&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-74672022000200046&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-74672022000200046&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Los productos fabricados actualmente tienen varias características de calidad, todas tienen importancia para el cliente, y controlarlas y evaluarlas se ha convertido en una actividad de primer interés. La industria automotriz establece índices de capacidad para evaluar la capacidad de los procesos donde se tiene únicamente una variable de respuesta, y cuando estos son estables se recomienda utilizar el Cp y el Cpk como medibles de la capacidad del proceso de manufactura para manufacturar productos que cumplan con las especificaciones y sean catalogados como productos de calidad. Para evaluar la calidad completa de un producto, la cual depende de que se cumpla con varias características de calidad simultáneamente, existen propuestas en la literatura de cómo medir la capacidad de procesos multivariados; la mayoría de estas coinciden en que se debe establecer claramente una región de especificación que represente lo que establece el cliente y otra región que muestre la variación como medida de desempeño del proceso. En la definición de ambas regiones existe una gran controversia entre los autores, lo que lleva a presentar esta nueva propuesta, mediante la cual se definen de manera confiable estas dos regiones mencionadas, y al hacer una comparación entre ellas se pueden obtener los índices de capacidad multivariados Cpm y el Cpkm y el como una extensión de los índices univariados Cp y el Cpk. El documento incluye el análisis de datos de un proceso donde el producto, para ser de buena calidad, debe cumplir con dos características de calidad simultáneamente. Las mediciones obtenidas del proceso se pueden representar por una distribución normal multivariada, lo que permite medir la capacidad del proceso utilizando los índices propuestos y realizar una interpretación de estos en relación con el desempeño del proceso.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Currently manufactured products have several quality characteristics, all of which are important to the customer, and controlling and evaluating them has become an activity of prime interest. The automotive industry establishes capacity indices to evaluate the capacity of processes where there is only one response variable, and when these are stable, it recommends using Cp and Cpk as measures of the capacity of the manufacturing process to manufacture products that comply with specifications and are cataloged as quality products. To evaluate the complete quality of a product, which depends on meeting several quality characteristics simultaneously, there are proposals in the literature on how to measure the capability of multivariate processes; most of these agree that a specification region should be clearly established to represent the customer's requirements and another region to show the variation as a measure of process performance. In the definition of both regions there is a great controversy among the authors, which leads to present this new proposal, by which these two regions are defined in a reliable way, and by making a comparison between them, the multivariate capacity indexes Cpm and Cpkm can be obtained as an extension of the univariate indexes Cp and Cpk. The document includes the data analysis of a process where the product to be of good quality must meet two quality characteristics simultaneously. The measurements obtained from the process can be represented by a multivariate normal distribution, which allows measuring the process capability using the proposed indexes and interpreting them in relation to the process performance.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo Os produtos fabricados atualmente possuem diversas características de qualidade, todas importantes para o cliente, e controlá-los e avaliá-los tornou-se uma atividade de grande interesse. A indústria automotiva estabelece índices de capacidade para avaliar a capacidade de processos onde há apenas uma variável de resposta, e quando estes estão estáveis, recomenda o uso de Cp e Cpk como medidas da capacidade do processo de fabricação em fabricar produtos que atendam às especificações e sejam catalogados como produtos de qualidade. Para avaliar a qualidade completa de um produto, que depende do cumprimento de várias características de qualidade simultaneamente, existem propostas na literatura sobre como medir a capacidade de processos multivariados; a maioria concorda que uma definição clara deve ser estabelecida. que representa o que o cliente estabelece e outra região que mostra a variação como medida de desempenho do processo. Na definição de ambas as regiões há grande controvérsia entre os autores, o que leva a apresentar esta nova proposta, pela qual estas duas regiões são definidas de forma fiável, e fazendo uma comparação entre elas é possível obter os índices de capacidade multivariados Cpm e Cpkm como uma extensão dos índices univariados Cp e Cpk. O documento inclui a análise de dados de um processo onde o produto para ser de boa qualidade deve atender a duas características de qualidade simultaneamente. As medições obtidas a partir do processo podem ser representadas por uma distribuição normal multivariada, permitindo que a capacidade do processo seja medida utilizando os índices propostos e uma interpretação destes índices em relação ao desempenho do processo.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[capacidad del proceso]]></kwd>
<kwd lng="es"><![CDATA[índices de capacidad]]></kwd>
<kwd lng="es"><![CDATA[procesos multivariados]]></kwd>
<kwd lng="es"><![CDATA[regiones de especificación]]></kwd>
<kwd lng="en"><![CDATA[process capability]]></kwd>
<kwd lng="en"><![CDATA[capability indices]]></kwd>
<kwd lng="en"><![CDATA[multivariate processes]]></kwd>
<kwd lng="en"><![CDATA[specification regions]]></kwd>
<kwd lng="pt"><![CDATA[capacidade de processo]]></kwd>
<kwd lng="pt"><![CDATA[índices de capacidade]]></kwd>
<kwd lng="pt"><![CDATA[processos multivariados]]></kwd>
<kwd lng="pt"><![CDATA[regiões de especificação]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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