Three state markov model: Comparing three parameterizations of the transition intensity rate. Application to rheumatoid arthritis data

Salazar J.C.; Palomino R.I.; Calvo E.; Rojas A.; Hincapié M.E.; Anaya, Juan-Manuel; Díaz F.J.

Ítem

Acceso Abierto

Three state markov model: Comparing three parameterizations of the transition intensity rate. Application to rheumatoid arthritis data

https://repository.urosario.edu.co/handle/10336/23009

Autores

Salazar J.C.

Palomino R.I.

Calvo E.

Rojas A.

Hincapié M.E.

Anaya, Juan-Manuel

Díaz F.J.

Archivos

PDF

Fecha

2007

Buscar en:

Métricas alternativas

Abstract

We consider a three state model with an absorbing state assuming an underlying Markov process to explain the dependence among observations within subjects. We compare, using a simulation study, three different parameterizations of the transition intensity rate: the first one is based on the Andersen-Gill's multiplicative hazard model (Andersen et al. 1993), the second one is based on the logistic model, and the third one depends on the complementary log-log model. The method to estimate the effect of the parameters is based on the likelihood function which can be optimized using the exact solutions of a Kolmogorov forward differential equations system in conjunction with the Newton-Raphson algorithm (Abramowitz and Stegun 1972). We use the relative bias to select the best estimation estrategy. The methodology is ilustrated using longitudinal data about rheumatoid arthritis (RA) from the Corporación para Investigaciones Biológicas, CIB.