Contributions to flexible bivariate regression models. Applications in Medicine and Environment

This thesis proposes bivariate regression models useful in clinical setting, in medical research, and in other fields. To make these models as widely as possible, no parametric restrictions for the responses variables were contemplated. A probabilistic region covering a specific percentage of the da...

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Detalles Bibliográficos
Autor: Lado Baleato, Óscar
Tipo de recurso: tesis doctoral
Fecha de publicación:2022
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/29801
Acceso en línea:http://hdl.handle.net/10347/29801
Access Level:acceso abierto
Palabra clave:Materias::Investigación::12 Matemáticas::1209 Estadística::120909 Análisis multivariante
Descripción
Sumario:This thesis proposes bivariate regression models useful in clinical setting, in medical research, and in other fields. To make these models as widely as possible, no parametric restrictions for the responses variables were contemplated. A probabilistic region covering a specific percentage of the data points can be estimated for these models. This region characterises the bivariate distribution shape depending on the effect of covariates. In practical terms, this identifies which values are most likely to be observed in the general healthy population after adjusting for patient characteristics; a region containing 95% of healthy patients results as conditioned by covariates can thus be obtained for diagnostic purposes. This reference region is a natural extension of the use of reference intervals.

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