Journal of Mathematics, Computation and Statistics (JMATHCOS)
Vol. 9 No. 2 (2026): Volume 09 Issue 02 (June 2026)

Comparison of Bayesian Spatial Leroux CAR Models with Poisson and Binomial Likelihoods for Modeling Stunting Cases

Rika Saniarti (Universitas Negeri Makassar)
Aswi Aswi (Universitas Negeri Makassar)



Article Info

Publish Date
26 May 2026

Abstract

Stunting remains a chronic nutritional problem requiring precise spatial mapping to support effective policy interventions in East Java, Indonesia. Spatial disease mapping commonly applies the Poisson distribution with Conditional Autoregressive (CAR) effects; however, the Poisson distribution is sensitive to overdispersion. Alternatively, the Bayesian Spatial CAR model with a Binomial likelihood may offer a better framework, yet empirical comparisons remain limited. This study compares the performance of Bayesian Spatial Leroux CAR models with Poisson and Binomial likelihoods in modeling stunting cases and identifies associated factors. The data include stunting cases across 38 districts in East Java (2024) and predictors: low birth weight (LBW), prematurity, exclusive breastfeeding, complete basic immunization (CBI), pneumonia, and diarrhea. Performance was evaluated using the Deviance Information Criterion (DIC) and the Watanabe–Akaike Information Criterion (WAIC). Results indicate significant spatial dependence. The Bayesian Spatial Leroux CAR model with a binomial likelihood outperforms the Poisson-based model. LBW, exclusive breastfeeding, CBI, pneumonia, and diarrhea are significantly associated with stunting. Kediri Regency exhibits the highest relative risk (RR), followed by Probolinggo Regency and Batu City, while Kediri City and Ponorogo Regency show the lowest RR

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Journal Info

Abbrev

JMATHCOS

Publisher

Subject

Mathematics

Description

Fokus yang didasarkan tidak hanya untuk penelitian dan juga teori-teori pengetahuan yang tidak menerbitkan plagiarism. Ruang lingkup jurnal ini adalah teori matematika, matematika terapan, program perhitungan, perhitungan matematika, statistik, dan statistik ...