<?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>S0120-17512006000200004</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Statistical Studies of Age - Specific HIV - Prevalence Data]]></article-title>
<article-title xml:lang="es"><![CDATA[Estudios estadísticos sobre datos de prevalencia del VIH según grupos de edad]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[KNOLLE]]></surname>
<given-names><![CDATA[HELMUT]]></given-names>
</name>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Investigador independiente  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>05</day>
<month>12</month>
<year>2006</year>
</pub-date>
<pub-date pub-type="epub">
<day>05</day>
<month>12</month>
<year>2006</year>
</pub-date>
<volume>29</volume>
<numero>2</numero>
<fpage>181</fpage>
<lpage>194</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-17512006000200004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-17512006000200004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-17512006000200004&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The infectivity function is a function giving a measure of how infectious a given individual is t time units after becoming infected. Today, no feasible and ethically acceptable study design is known, which would lead to estimates of HIV-infection probability within steady heterosexual partnerships, using standard statistical methodology. In this paper a transmission model is used as a link between the infectivity function and data sets which already exist or can be generated with standard methods and moderate expenses. This model suggests that the distribution of HIV-infections by age and sex depends on the infectivity function as well as on age-dependent patterns of sexual partner choice. Application of the model requires populationbased data of age-specific HIV-incidences in men and women of the general heterosexual population. At present, the only known data set suitable for this purpose is a set of HIV-test results from a sample of 8690 Colombian women in pregnancy who attended prenatal care. The prevalence of HIV was 0.33% in the group of 12-24 years, but only 0.16% in the group of 25-34 years. The model can explain this strange result. A data set of age-specific HIV-prevalences in heterosexual Colombian men would be useful, but is not known. Therefore, further research and data collecting is required in order to arrive at well founded conclusions.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[La función de infectividad es una función que dice qué tan infecciosa es una persona transcurrido un tiempo t después de haberse infectado. Hoy en día no se conoce ningún diseño de estudio, que sea factible y éticamente acceptable y que conduzca a estimados de la infectividad del VIH entre uniones heterosexuales estables, usando los métodos estadísticos corrientes. Por eso,aquí se utiliza un modelo de transmisión como puente entre la función de infectividad y datos que ya existen o pueden ser generados con pocos gastos. El modelo sugiere que la distribución según sexo y edad de la infección por VIH en la población heterosexual de bajo riesgo depende de la función de infectividad así como de los patrones de mezcla entre diferentes grupos de edad. La aplicación del modelo requiere datos poblacionales sobre la incidencia de la infección en los grupos de edad de hombres y mujeres heterosexuales. Actualmente el único conjunto de datos adecuado consiste en los resultados de pruebas por VIH en 8690 mujeres colombianas en embarazo que asistieron a consulta de control prenatal. La prevalencia del VIH era 0.33% en el grupo de 12-24 años, y 0.16% en el grupo de 25-34 años. El modelo puede explicar esta diferencia. Pero no existen datos sobre prevalencias del VIH en hombres heterosexuales de diferentes edades que se necesitan en este contexto. Por eso, se requieren otras investigaciones y recolecciones de datos para llegar a conclusiones seguras.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[AIDS]]></kwd>
<kwd lng="en"><![CDATA[Infectivity]]></kwd>
<kwd lng="en"><![CDATA[Health risk]]></kwd>
<kwd lng="en"><![CDATA[Branching process]]></kwd>
<kwd lng="en"><![CDATA[Threshold]]></kwd>
<kwd lng="en"><![CDATA[Age distribution]]></kwd>
<kwd lng="en"><![CDATA[Colombia]]></kwd>
<kwd lng="es"><![CDATA[sida]]></kwd>
<kwd lng="es"><![CDATA[infectividad]]></kwd>
<kwd lng="es"><![CDATA[riesgo de salud]]></kwd>
<kwd lng="es"><![CDATA[proceso ramificado]]></kwd>
<kwd lng="es"><![CDATA[umbral]]></kwd>
<kwd lng="es"><![CDATA[distribución de edad]]></kwd>
<kwd lng="es"><![CDATA[Colombia]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[   <font size="2" face="verdana">        <p><b>    <center><font size="4">Statistical Studies of Age - Specific  HIV - Prevalence Data</font></center></b></p>        <p><b>    <center><font size="3">Estudios estad&iacute;sticos sobre datos de prevalencia del VIH  seg&uacute;n grupos de edad</font></center></b></p>        <p>    <center>HELMUT KNOLLE<sup>1</sup></center></p>        <p><sup>1</sup>Investigador independiente. E-mail: <a href="mailto:hknolle@gmx.ch">hknolle@gmx.ch</a></p>    <hr size="1">        <p><b>    <center>Abstract</center></b></p>        ]]></body>
<body><![CDATA[<p>The infectivity function is a function giving a measure of how infectious  a given individual is <i>t</i> time units after becoming infected. Today, no feasible  and ethically acceptable study design is known, which would lead to  estimates of HIV-infection probability within steady heterosexual partnerships,  using standard statistical methodology. In this paper a transmission  model is used as a link between the infectivity function and data sets which  already exist or can be generated with standard methods and moderate expenses.  This model suggests that the distribution of HIV-infections by age  and sex depends on the infectivity function as well as on age-dependent patterns  of sexual partner choice. Application of the model requires populationbased  data of age-specific HIV-incidences in men and women of the general  heterosexual population. At present, the only known data set suitable for  this purpose is a set of HIV-test results from a sample of 8690 Colombian  women in pregnancy who attended prenatal care. The prevalence of HIV  was 0.33% in the group of 12-24 years, but only 0.16% in the group of 25-34  years. The model can explain this strange result. A data set of age-specific  HIV-prevalences in heterosexual Colombian men would be useful, but is not  known. Therefore, further research and data collecting is required in order  to arrive at well founded conclusions.</p>        <p><b><i>Key words:</i></b> AIDS, Infectivity, Health risk, Branching process, Threshold,  Age distribution, Colombia.</p>    <hr size="1">        <p><b>    <center>Resumen</center></b></p>        <p>La funci&oacute;n de infectividad es una funci&oacute;n que dice qu&eacute; tan infecciosa es  una persona transcurrido un tiempo <i>t</i> despu&eacute;s de haberse infectado. Hoy en  d&iacute;a no se conoce ning&uacute;n dise&ntilde;o de estudio, que sea factible y &eacute;ticamente acceptable  y que conduzca a estimados de la infectividad del VIH entre uniones  heterosexuales estables, usando los m&eacute;todos estad&iacute;sticos corrientes. Por eso,aqu&iacute; se utiliza un modelo de transmisi&oacute;n como puente entre la funci&oacute;n de  infectividad y datos que ya existen o pueden ser generados con pocos gastos.  El modelo sugiere que la distribuci&oacute;n seg&uacute;n sexo y edad de la infecci&oacute;n por  VIH en la poblaci&oacute;n heterosexual de bajo riesgo depende de la funci&oacute;n de infectividad  as&iacute; como de los patrones de mezcla entre diferentes grupos de edad.  La aplicaci&oacute;n del modelo requiere datos poblacionales sobre la incidencia de  la infecci&oacute;n en los grupos de edad de hombres y mujeres heterosexuales. Actualmente  el &uacute;nico conjunto de datos adecuado consiste en los resultados de  pruebas por VIH en 8690 mujeres colombianas en embarazo que asistieron a  consulta de control prenatal. La prevalencia del VIH era 0.33% en el grupo  de 12-24 a&ntilde;os, y 0.16% en el grupo de 25-34 a&ntilde;os. El modelo puede explicar  esta diferencia. Pero no existen datos sobre prevalencias del VIH en hombres  heterosexuales de diferentes edades que se necesitan en este contexto. Por  eso, se requieren otras investigaciones y recolecciones de datos para llegar a  conclusiones seguras.</p>        <p><b><i>Palabras clave:</i></b> sida, infectividad, riesgo de salud, proceso ramificado,  umbral, distribuci&oacute;n de edad, Colombia.</p>    <hr size="1">        <p>Texto completo disponible en <a href="pdf/rce/v29n2/v29n2a04.pdf">PDF</a></p>    <hr size="1">        <p><b><font size="3">References</font></b></p>        <!-- ref --><p>1. Becker, N. &amp; Britton, T. 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