PERBANDINGAN REGRESI ZERO INFLATED POISSON (ZIP) DAN REGRESI ZERO INFLATED NEGATIVE BINOMIAL (ZINB) PADA DATA OVERDISPERSION (Studi Kasus: Angka Kematian Ibu di Provinsi Bali)

  • NI PUTU PREMA DEWANTI Faculty of Mathematics and Natural Sciences, Udayana University
  • MADE SUSILAWATI Faculty of Mathematics and Natural Sciences, Udayana University
  • I GUSTI AYU MADE SRINADI Faculty of Mathematics and Natural Sciences, Udayana University

Abstract

Poisson regression is a nonlinear regression which is often used for count data and has equidispersion assumption (variance value equal to mean value). However in practice, equidispersion assumption is often violated. One of it violations is overdispersion (variance value greater than the mean value). One of the causes of overdipersion is excessive number of zero values on the response variable (excess zeros). There are many methods to handle overdispersion because of excess zeros. Two of them are Zero Inflated Poisson (ZIP) regression and Zero Inflated Negative Binomial (ZINB) regression. The purpose of this research is to determine which regression models is better in handling overdispersion data. The data that can be analyzed using the ZIP and ZINB regression is maternal mortality rate in the Province of Bali. Maternal mortality rate data has proportion of zeros value more than 50% on the response variable.  In this research, ZINB regression better than ZIP regression for modeling maternal mortality rate. The independent variable that affects the number of maternal mortality rate in the Province of Bali  is the percentage of mothers who carry a pregnancy visit, with ZINB regression models and . 

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Author Biographies

NI PUTU PREMA DEWANTI, Faculty of Mathematics and Natural Sciences, Udayana University
Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
MADE SUSILAWATI, Faculty of Mathematics and Natural Sciences, Udayana University
Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
I GUSTI AYU MADE SRINADI, Faculty of Mathematics and Natural Sciences, Udayana University
Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
Published
2016-11-30
How to Cite
DEWANTI, NI PUTU PREMA; SUSILAWATI, MADE; SRINADI, I GUSTI AYU MADE. PERBANDINGAN REGRESI ZERO INFLATED POISSON (ZIP) DAN REGRESI ZERO INFLATED NEGATIVE BINOMIAL (ZINB) PADA DATA OVERDISPERSION (Studi Kasus: Angka Kematian Ibu di Provinsi Bali). E-Jurnal Matematika, [S.l.], v. 5, n. 4, p. 133-138, nov. 2016. ISSN 2303-1751. Available at: <https://ojs.unud.ac.id/index.php/mtk/article/view/25285>. Date accessed: 21 nov. 2024. doi: https://doi.org/10.24843/MTK.2016.v05.i04.p132.
Section
Articles

Keywords

Overdispersion; Poisson Regression; ZIP Regression; ZINB Regression; Maternal Mortality Rate in the Province of Bali

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