Journal of Mathematics Education and Application (JMEA)
Vol 2, No 2 (2023): Juni

Zero-Inflated Poisson Regression Testing In Handling Overdispersion On Poisson Regression

Mutia Sari (Universitas Sumatera Utara)
Open Darnius (Universitas Sumatera Utara)



Article Info

Publish Date
30 Jun 2023

Abstract

The classical linear regression analysis is an analysis aimed at knowing the relationship between the response variables and the explanatory variables assuming the normal distribution data, but in the applied data is often not the case. Generalized Linear Model (GLM) was developed for data in the form of categorical and discrete distribution. In this study the data was raised which has a poisson distribution by as much as n, with average  λ and the odds appearing zero p. Poisson regression is GLM for Poisson-distributed data assuming that Var(X ) = E(X ), but asusumption is rare in applied data. For rare occurrences of a specified interval X variables are often zero-valued, thus causing overdispersion (Var(X ) E(X )). Lambert (1992) introduced a method for overcoming overdispersion in poisson regression i.e. the Zero-Inflated Poisson regression (ZIP). In this research conducted a ZIP regression test in overcoming overdispersion to see the opportunity limit p appears zero- valued as the value that causes overdispersion. Testing is done with RStudio ver. 1.1.463.0 software. Based on the simulated data obtained that Regression ZIP stopped overcoming overdis persion at the condition n = 500, λ = 0.7 with the odds p = 0.2 with a dispersion ratio of  τ = 1.010.

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Journal Info

Abbrev

mtika

Publisher

Subject

Education Mathematics

Description

Journal of Mathematics Education and Application (JMEA) menerima artikel dan mempublikasikan hasil kajian/penelitian ilmiah tentang Pendidikan dan Aplikasi Matematika dan yang berkaitan. Penyebarluasan penelitian bertujuan untuk membangun peradaban bangsa serta mengembangkan Ilmu Pendidikan dan ...