Publication:
Percentile curves in binary longitudinal data

dc.contributor.advisor Macchiavelli, Raúl E.
dc.contributor.author Torres Saavedra, Pedro A.
dc.contributor.college College of Arts and Sciences - Sciences en_US
dc.contributor.committee Lorenzo, Edgardo
dc.contributor.committee Acuña Fernández, Edgar
dc.contributor.department Department of Mathematics en_US
dc.contributor.representative Fernando Vega, José
dc.date.accessioned 2019-04-15T15:50:42Z
dc.date.available 2019-04-15T15:50:42Z
dc.date.issued 2006
dc.description.abstract This work presents different alternatives for modeling binary longitudinal data for continuous and categorical outcomes. Using a logistic model with random inter- cept, we propose the Percentile Curves concept, which are conditional probability curves across time representing percentiles of distribution of curves generated by the random intercept. We also analyze the density and cumulative distribution of subject-specific probabilities across time induced by the logistic model with random intercept. We apply this concept to two binary longitudinal data sets (Toenail and Garlic). Also, we expand the percentile curves concept to a logistic model with a random intercept and slope, and we propose a methodology to compute them. en_US
dc.description.abstract En este trabajo se presentan diferentes alternativas de modelamiento de datos longitudinales para respuestas continuas y categóricas. Usando un modelo logístico con intercepto aleatorio, proponemos el concepto de Curvas Percentiles, que son curvas de probabilidades condicionales a través del tiempo que representan percentiles de una distribución de curvas generadas por el intercepto aleatorio. Asímismo, analizamos la función de densidad y la distribución acumulada de las proporciones sujeto-especificas a través del tiempo inducidas por el modelo logístico con intercepto aleatorio. Aplicamos este concepto a dos conjuntos de datos longitudinales binarios, Uñas y Ajo. Además, ampliamos el concepto de curvas percentiles a un modelo logístico con intercepto y pendiente aleatoria y proponemos una metodología para calcularlas en_US
dc.description.graduationYear 2006 en_US
dc.identifier.uri https://hdl.handle.net/20.500.11801/1991
dc.language.iso English en_US
dc.rights.holder (c) 2006 Pedro A. Torres Saavedra en_US
dc.rights.license All rights reserved en_US
dc.subject Percentile curves concept en_US
dc.title Percentile curves in binary longitudinal data en_US
dc.type Thesis en_US
dspace.entity.type Publication
thesis.degree.discipline Mathematical Statistics en_US
thesis.degree.level M.S. en_US
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