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Mathematics and Statistics Vol. 13(6), pp. 461 - 471
DOI: 10.13189/ms.2025.130603
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Performance of Conditional Autoregressive Models and Their Implementation for Disease Mapping

Jajang ^*, Budi Pratikno , Mashuri , Novita Eka Chandra , Zulfa Fadhilah , Naura Nahda Nadhifa
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Jenderal Soedirman University, Indonesia

ABSTRACT

Conditional Autoregressive (CAR) models have been widely used in various disciplines, including epidemiological studies. The application of the CAR model in epidemiological studies is often associated with the relative risk of an infectious disease. This relative risk value can be estimated using the CAR models. Here, we evaluate four commonly used CAR models: the Intrinsic CAR, the Besag-York-Molli茅 CAR (BYM CAR), the BYM-modified CAR (BYM2 CAR), and the Leroux CAR (LCAR). To estimate CAR model parameters, Bayesian inference and the Integrated Nested Laplace Approximation (INLA) concept are used. The selected model was then used to model the number of dengue hemorrhagic fever (DHF) cases in Central Java Province in 2024. To support this analysis, we used 50 datasets simulated for each sample size (n), ranging from 10 to 100. The results of the study showed that of the four models compared, the best model was BYM2. This model was then used to model DHF cases in 2024 in Central Java Province. The research findings indicate the necessity of controlling population density, optimizing the role of medical personnel, and preparing for increased rainfall to curb the spread of dengue fever. Comprehensive detection and control measures through medical facilities are also required. Meanwhile, based on the coefficient of the altitude variable in the model, altitude has a positive influence on the number of dengue fever cases. Therefore, the conflicting conclusions between the model results and the medical perspective require data verification and further study of this variable.

KEYWORDS
CAR, INLA, Dengue Fever, BYM, Leroux

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Jajang , Budi Pratikno , Mashuri , Novita Eka Chandra , Zulfa Fadhilah , Naura Nahda Nadhifa , "Performance of Conditional Autoregressive Models and Their Implementation for Disease Mapping," Mathematics and Statistics, Vol. 13, No. 6, pp. 461 - 471, 2025. DOI: 10.13189/ms.2025.130603.

(b). APA Format:
Jajang , Budi Pratikno , Mashuri , Novita Eka Chandra , Zulfa Fadhilah , Naura Nahda Nadhifa (2025). Performance of Conditional Autoregressive Models and Their Implementation for Disease Mapping. Mathematics and Statistics, 13(6), 461 - 471. DOI: 10.13189/ms.2025.130603.