MATHunesa: Jurnal Ilmiah Matematika
Vol 11 No 2 (2023)

REGRESI ZERO INFLATED POISSON UNTUK PEMODELAN ANGKA POSITIF PENYAKIT MALARIA DI JAWA TIMUR

AJENG DIVA APRILIA (Program Studi Matematika, FMIPA, Universitas Negeri Surabaya)
A'yunin Sofro (Program Studi Matematika, FMIPA, Universitas Negeri Surabaya)



Article Info

Publish Date
31 Aug 2023

Abstract

The number of confirmed cases of malaria in East Java from 2020 to 2022 is a count data with numerous zero values and is exhibiting overdispersion. With Zero Inflated Poisson (ZIP) regression, this work seeks to solve the overdispersion issue that plagues Poisson regression. The ZIP model is superior to the Poisson regression model, according to the results. Data modeling with ZIP regression carries out model fit testing with the G test, parameter significance testing with the Wald test, and parameter estimation using Maximum Likelihood Estimation. For case data of malaria positivity, the ZIP regression model in this research is log(????????) = 3,695 + 0,0057X1 − 0,0569X2 − 0,0085X3 − 0,0619X4 + 0,0604X5 − 0,0118X6 − 0,012X8, and logit(????????) = −5,5185 + 0,0039X2 − 0,592X6. The test's findings indicate that factors such as population density, poverty levels, the proportion of households with access to clean water and sanitation, the morbidity rate, the number of medical facilities, the number of health complaints, and the percentage of public spaces that adhere to health standards all significantly influence the number of confirmed cases of malaria in East Java.Keywords: Malaria, excess zeros, overdispersion, Zero Inflated Poisson.

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Journal Info

Abbrev

mathunesa

Publisher

Subject

Mathematics

Description

MATHunesa is a mathematical scientific journal published by the Department of Mathematics, Faculty of Mathematics and Natural Sciences, The State University of Surabaya with e-ISSN 2716-506X and p-ISSN 2301-9115. This journal is published every four months in April, August, and December. One volume ...