Model Regresi Zero Inflated Poisson Pada Data Overdispersion

  • Wirajaya Kusuma Fakultas MIPA, Universitas Mataram
  • Desy Komalasari Fakultas MIPA, Universitas Mataram
  • Mustika Hadijati Fakultas MIPA, Universitas Mataram

Abstract

Overdispersion is a phenomenon of the data variance greater than the average. One of the causes of overdispersion is too many zero value (excess zero) on the response variable. Zero inflated Poisson regression model (ZIP) is one of the method that can be used to overcome problems due to excess zeros. The purpose of this research is to estimate the regression parameters model Zero -inflated Poisson (ZIP) and applying to the data of unsuccessful students in national examinations in senior high school and vocational school in the city of Mataram. Parameter estimation Zero inflated Poisson regression model using the maximum likelihood and maximization expectation algorithm with Newton Rhapson approach. Zero inflated Poisson regression model obtained on the data is:

dan With  is school accreditation; and  is the proportion of teachers who are already certified

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Author Biographies

Wirajaya Kusuma, Fakultas MIPA, Universitas Mataram

Fakultas MIPA, Universitas Mataram

Desy Komalasari, Fakultas MIPA, Universitas Mataram

Fakultas MIPA, Universitas Mataram

Mustika Hadijati, Fakultas MIPA, Universitas Mataram

Fakultas MIPA, Universitas Mataram

Published
2013-06-30
How to Cite
KUSUMA, Wirajaya; KOMALASARI, Desy; HADIJATI, Mustika. Model Regresi Zero Inflated Poisson Pada Data Overdispersion. Jurnal Matematika, [S.l.], v. 3, n. 2, p. 71-85, june 2013. ISSN 2655-0016. Available at: <https://ojs.unud.ac.id/index.php/jmat/article/view/16570>. Date accessed: 28 mar. 2024. doi: https://doi.org/10.24843/JMAT.2013.v03.i02.p37.
Section
Articles

Keywords

Zero Inflated Poisson; Overdispersion; Maximization Expectation; Newton Rhapson; unsuccessful students SMA/SMK