<?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>0122-3461</journal-id>
<journal-title><![CDATA[Ingeniería y Desarrollo]]></journal-title>
<abbrev-journal-title><![CDATA[Ing. Desarro.]]></abbrev-journal-title>
<issn>0122-3461</issn>
<publisher>
<publisher-name><![CDATA[Fundación Universidad del Norte]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0122-34612017000200382</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Simulación de la precisión y el cubrimiento en experimentos con mezclas con respuestas binomial y poisson analizados bajo modelos lineales generalizados y mínimos cuadrados ordinarios]]></article-title>
<article-title xml:lang="en"><![CDATA[Simulation of the accuracy and coverage in experiments including mixtures with binomial and poisson responses studied using generalized linear model and ordinary least squares approaches]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[Leandro]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Barragán]]></surname>
<given-names><![CDATA[Sandra]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Bogotá Jorge Tadeo Lozano  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Bogotá Jorge Tadeo Lozano  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<volume>35</volume>
<numero>2</numero>
<fpage>382</fpage>
<lpage>401</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0122-34612017000200382&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0122-34612017000200382&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0122-34612017000200382&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este artículo se muestra un análisis de diseños experimentales con mezclas simplex centroides con respuestas binomial y Poisson empleando un Modelo Lineal Generalizado. Se comparó la precisión y el cubrimiento de los intervalos de confianza, alrededor de las medias esperadas, obtenidos bajo un modelo de Mínimos Cuadrados Ordinarios que utiliza una transformación con los proporcionados por un modelo lineal generalizado; dicha comparación se hizo mediante dos simulaciones en donde se asume un modelo conocido. En dichas simulaciones se introdujo reiteradamente una perturbación aleatoria de las medias esperadas en cada punto experimental. Los nuevos vectores de respuestas fueron analizados con cada uno de los dos modelos. La precisión y el cubrimiento fueron reportados, en cada caso, en función de la magnitud de la perturbación inducida y fueron utilizados como medida de comparación de la incertidumbre de la estimación y para evaluar el comportamiento de ambos modelos. En el análisis en un diseño experimental con mezclas con respuesta no normal, el Modelo Lineal Generalizado produjo mejores resultados en términos de precisión y cubrimiento que el hecho con Mínimos Cuadrados Ordinarios basado en una transformación.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This article provides an analysis of experimental designs simplex cen troid mixtures with binomial and Poisson responses using a Generalized Linear Model. Throughout a simulation process, in which a model was assumed known, it was compared accuracy and coverage of the confi dence intervals around the expected average obtained under a model based on normal theory with that provided by a Generalized Linear Model. Simulations were carried out using specialized software, and random perturbation to the true average expected in each experimental point was introduced repeatedly. The new response vectors were analy zed in each of the two models. Accuracy and coverage were reported in each case depending on the magnitude of the induced disturbance and were used as a measure of comparison of estimation uncertainty and to evaluate the performance of both models. In an experimental design with mixtures including no normal reponse, a Generalized Linear Model produced better results in terms of accuracy and coverage than an Ordinary Least Squares based on a transformation.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[cobertura]]></kwd>
<kwd lng="es"><![CDATA[experimentos con mezclas]]></kwd>
<kwd lng="es"><![CDATA[Mínimos Cuadrados Ordinarios]]></kwd>
<kwd lng="es"><![CDATA[Modelo Lineal Generalizado]]></kwd>
<kwd lng="es"><![CDATA[precisión]]></kwd>
<kwd lng="en"><![CDATA[coverage]]></kwd>
<kwd lng="en"><![CDATA[experiments with mixtures]]></kwd>
<kwd lng="en"><![CDATA[Generalized Linear Model]]></kwd>
<kwd lng="en"><![CDATA[Ordinary Least Squares]]></kwd>
<kwd lng="en"><![CDATA[precision]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>[1]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Scheffé]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Experiments with mixtures]]></article-title>
<source><![CDATA[Journal of the Royal Society]]></source>
<year>1958</year>
<volume>20</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>344-60</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>[2]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Scheffé]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The simplex-centroid desing for experiments with mixtures]]></article-title>
<source><![CDATA[Journal of the Royal Statistical Society]]></source>
<year>1963</year>
<volume>25</volume>
<page-range>235-63</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Montgomery]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Design and Analysis of Experiments]]></source>
<year>2005</year>
<edition>Sexta</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rondón]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[León]]></surname>
<given-names><![CDATA[O]]></given-names>
</name>
<name>
<surname><![CDATA[Fernández]]></surname>
<given-names><![CDATA[W]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Comportamiento de una mezcla asfáltica tibia fabricada en una planta de asfalto]]></article-title>
<source><![CDATA[Revista Ingeniería y Desarrollo]]></source>
<year>2017</year>
<volume>35</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>152-73</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cornell]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[Experiments with mixtures. Designs, models and analysis of mixture data]]></source>
<year>2002</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<label>[6]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Myers]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
<name>
<surname><![CDATA[Montgomery]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Response suface methodology. Process and product optimization using designed experiments]]></source>
<year>2016</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<label>[7]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bisgaard]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Fuller]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Analysis of factorial experiments with defects or defectives as response]]></article-title>
<source><![CDATA[Quality Engineering]]></source>
<year>1995</year>
<volume>7</volume>
<page-range>429-43</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>[8]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Neyman]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Scott]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Correction for bias introduced by transformation of variables]]></article-title>
<source><![CDATA[Annals of mathematical statistics]]></source>
<year>1960</year>
<volume>31</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>643-55</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>[9]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nelder]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Wedderburn]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Generalized linear models]]></article-title>
<source><![CDATA[Journal of Royal Statistical Society]]></source>
<year>1972</year>
<volume>135</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>370-84</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>[10]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[McCullagh]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<name>
<surname><![CDATA[Nelder]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[Generalized linear models]]></source>
<year>2000</year>
<publisher-loc><![CDATA[Londres ]]></publisher-loc>
<publisher-name><![CDATA[Chapman and Hall]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<label>[11]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Myers]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
<name>
<surname><![CDATA[Montgomery]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Generalized linear models]]></source>
<year>2002</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<label>[12]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lewis]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<source><![CDATA[Analysis of designed experiments using generalized linear models]]></source>
<year>1998</year>
<publisher-loc><![CDATA[Tempe ]]></publisher-loc>
<publisher-name><![CDATA[Universidad estatal de Arizona]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<label>[13]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lewis]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Montgomery]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Myers]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Confidence interval coverage for designed experiments analyzed with GLMs]]></article-title>
<source><![CDATA[Journal of quality technology]]></source>
<year>2001</year>
<volume>33</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>279-92</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>[14]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lewis]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Montgomery]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
<name>
<surname><![CDATA[Raimond]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Examples of designed experiments with non normal responses]]></article-title>
<source><![CDATA[Journal quality of technology]]></source>
<year>2001</year>
<volume>33</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>265-78</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
