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

  1. Lado Baleato, Óscar
Dirigida por:
  1. Francisco Gude Sampedro Director/a
  2. Javier Roca Pardiñas Director/a

Universidad de defensa: Universidade de Santiago de Compostela

Fecha de defensa: 25 de noviembre de 2022

Tribunal:
  1. Guadalupe Gómez Melis Presidente/a
  2. César Andrés Sánchez Sellero Secretario/a
  3. Bruno de Sousa Vocal

Tipo: Tesis

Resumen

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.