Regression Analysis of Panel Data on Gross Enrolment Rate (GER) At Junior High School and Equivalent Education Levels in South Sulawesi Province in 2018-2022

Nur Elisa; Muhammad Kasim Aidid; Sitti Masyitah Meliyana

doi:10.35877/454RI.qems3932

Authors

Nur Elisa Department of Statistics, Universitas Negeri Makassar, Makassar, 90223, Indonesia
Muhammad Kasim Aidid Department of Statistics, Universitas Negeri Makassar, Makassar, 90223, Indonesia
Sitti Masyitah Meliyana Department of Statistics, Universitas Negeri Makassar, Makassar, 90223, Indonesia

DOI:

https://doi.org/10.35877/454RI.qems3932

Keywords:

Panel Data Regression, Random Effect Model, Gross Enrolment Rate (GER)

Abstract

Panel data regression is a combination of time series and cross section data. This research aims to determine the factors that influence the gross participation rate in South Sulawesi Province using panel data regression analysis. The data used is data from 24 districts/cities in South Sulawesi province from 2018 to 2022 which was obtained through the website of the South Sulawesi Provincial Central Statistics Agency. There are three models in panel data regression analysis, namely the Common Effect Model (CEM), Fixed Effect Model (FEM) and Random Effect Model (REM). Based on the model selection carried out by carrying out the Chow Test, Hausman Test, and Lagrange Multiplier Test, the best model was obtained, namely the Random Effect Model. The equation of this model is Y_it = 82,818 + 0,1485X_1it ? 0,0784X_2it + 0,0053X_3it + 0,0011X_4it. Based on the results of panel data regression analysis, it was found that the variables that had a significant effect on the Gross Enrollment Rate in South Sulawesi province were the student to teacher ratio (X₂), and population density (X₄).

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