EKSAKTA: Journal of Sciences and Data Analysis
VOLUME 7, ISSUE 1, April 2026

Multi-state Models for Longitudinal Data with Hidden Markov Method

Amritha, Yadhurani Dewi (Unknown)
Danarnodo, Danarnodo (Unknown)



Article Info

Publish Date
30 Apr 2026

Abstract

A person’s health condition can certainly change from time to the time. Changes in this condition can be formed into a model, one of model is a multi-state with Markov assumptions. The live expectancy value of a person suffering from a chronic disease is never 100 % correct because there is a lot of uncertainty in the future. However, by selecting the right method, the expected value can be determined with a low error rate or provide the best possible estimate of the future state. A multi-state Hidden Markov Model (HMM) is utilized in this study to analyze longitudinal data on Type 2 Diabetes Mellitus, chosen specifically for its robust capacity to manage data collected with regular, irregular, or continuous observation schedules. This model is also used to estimate the transition and observation probabilities with the maximum likelihood method. Additionally, estimates for the transition intensity and transition probability were calculated for each of the four possible model specifications. From the models that can be formed, the best model is determined through the AIC value. In this case, the best model is the model that uses covariates in each transition

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Journal Info

Abbrev

eksakta

Publisher

Subject

Chemical Engineering, Chemistry & Bioengineering Chemistry Earth & Planetary Sciences Materials Science & Nanotechnology

Description

Ekstakta is an interdisciplinary journal with the scope of mathematics and natural sciences that is published by Fakultas MIPA Universitas Islam Indonesia. All submitted papers should describe original, innovatory research, and modelling research indicating their basic idea for potential ...