DETERMINING STUDENT GRADUATION BASED ON SCHOOL LOCATION USING GEOGRAPHICALLY WEIGHTED LOGISTIC REGRESSION

  • Hendra Perdana Department Mathematics, Faculty of Mathematics and Science, Tanjungpura University, Indonesia
  • Neva Satyahadewi Department Mathematics, Faculty of Mathematics and Science, Tanjungpura University, Indonesia
  • Fritzgerald Muhammad Arsyi Department Mathematics, Faculty of Mathematics and Science, Tanjungpura University, Indonesia
Keywords: Classification Accuracy, GWLR, Kernel Function, Logistic Regression, Spatial Data, Student Graduation

Abstract

Faculty of Mathematics and Natural Sciences (FMIPA) is one of the Faculties in Tanjungpura University with 9 Undergraduate Programs (S1). Based on the graduation data of the 2014 batch of FMIPA students, the number of students who did not complete their studies was 131 students or 29% of the total 445 students and 187 schools in Indonesia. If the study period of students can be predicted early, the study program can provide advice or recommendations so that students can complete their studies in/exactly 8 semesters. This study aims to determine the model for analyzing the factors that influence the graduation of FMIPA students using GWLR. Geographically Weighted Logistic Regression (GWLR) is a developing logistic regression model applied to spatial data. This model is used to predict data with binary dependent variables that consider the location characteristics of each observation. The units of observation in this study are the school location of 455 students spread across Indonesia. The variables used in this study were sourced from the Academic and Student Affairs Bureau UNTAN and divided into dependent variables (Y) and independent variables (X), i.e. Gender, college selection, Accreditation, School Type, School Location, and Name of Study Program. The dependent variable analyzed is the graduated status of FMIPA UNTAN students, i.e. completed and not completed their studies. The results showed that gender and the name of the study program are factors that affect the graduation of FMIPA UNTAN 2014 students with a classification accuracy of 72.6%.

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References

M. Fathurahman, Purhadi, Sutikno, and V. Ratnasari, “Pemodelan Geographically Weighted Logistic Regression pada Indeks Pembangunan Kesehatan Masyarakat di Provinsi Papua,” Pros. Semin. Nas. MIPA 2016, no. April, pp. 34–42, 2016.

D. W. Hosmer, S. Lemeshow, and R. X. Sturdivant, Applied Logistic Regression: Third Edition. 2013. doi: 10.1002/9781118548387.

Desriwendi, A. Hoyyi, and T. Wuryandari, “Pemodelan Geographically Weighted Logistic Regression (GWLR) dengan Fungsi Pembobot Fixed Gaussian Kernel dan Adaptive Gaussian Kernel,” Concept Commun., vol. 4, no. 2, pp. 193–204, 2015.

M. Rifada and Purhadi, “Pemodelan Tingkat Kerawanan Demam Berdarah Dengue di Kabupaten Lamongan dengan Pendekatan Geographically Weighted Ordinal Logistic Regression,” 2011.

S. M. Soemartojo, R. D. Ghaisani, T. Siswantining, M. R. Shahab, and M. M. Ariyanto, “Parameter Estimation of Geographically Weighted Regression (GWR) Model Using Weighted Least Square and Its Application,” AIP Conf. Proc., 2018, doi: 10.1063/1.5054485.

N. A. Solekha and M. F. Qudratullah, “Pemodelan Geographically Weighted Logistic Regression dengan Fungsi Adaptive Gaussian Kernel Terhadap Kemiskinan di Provinsi NTT,” Jambura J. Math., vol. 4, no. 1, pp. 17–32, 2022, doi: 10.34312/jjom.v4i1.11452.

C. A. W. Aji, M. A. Mukid, and H. Yasin, “Analisis Faktor-Faktor Yang Mempengaruhi Laju Pertumbuhan Penduduk Kota Semarang Tahun 2011 Menggunakan Geographically Weighted Logistic Regression,” Gaussian, vol. 3, no. 23, pp. 161–171, 2014.

C. Zhang and Y. Yang, “Modeling the spatial variations in anthropogenic factors of soil heavy metal accumulation by geographically weighted logistic regression,” Sci. Total Environ., vol. 717, p. 137096, 2020, doi: 10.1016/j.scitotenv.2020.137096.

J. H. Kim, “Multicollinearity and misleading statistical results,” Korean J. Anesthesiol., vol. 72, no. 6, pp. 558–569, 2019, doi: 10.4097/kja.19087.

D. N. Gujarati, Basic Econometrics, 4th ed. Gary Burke, 2004.

A. Yulia and S. Astutikand U Sa’adah, “Modeling Spatial Variation of Money Laundering Crime in Indonesia Using Geographically Weighted Multinomial Logistic Regression,” IOP Conf. Ser. Mater. Sci. Eng., vol. 1115, no. 1, p. 012065, 2021, doi: 10.1088/1757-899x/1115/1/012065.

A. M. Yolanda, K. Yunitaningtyas, and Indahwati, “Spatial Data Panel Analysis for Poverty in East Java Province 2012-2017,” J. Phys. Conf. Ser., vol. 1265, no. 1, 2019, doi: 10.1088/1742-6596/1265/1/012027.

P. G. Widayaka, M. Mustafid, and R. Rahmawati, “Pendekatan Mixed Geographically Weighted Regression untuk Pemodelan Pertumbuhan Ekonomi Menurut Kabupaten/Kota di Jawa Tengah,” J. Gaussian, vol. 5, no. 4, pp. 727–736, 2016, [Online]. Available: http://ejournal-s1.undip.ac.id/index.php/gaussian

V. N. Mishra, V. Kumar, R. Prasad, and M. Punia, “Geographically Weighted Method Integrated with Logistic Regression for Analyzing Spatially Varying Accuracy Measures of Remote Sensing Image Classification,” J. Indian Soc. Remote Sens., vol. 49, no. 5, pp. 1189–1199, 2021, doi: 10.1007/s12524-020-01286-2.

J. Tu and W. Tu, “How the relationships between preterm birth and ambient air pollution vary over space: A case study in Georgia, USA using geographically weighted logistic regression,” Appl. Geogr., vol. 92, no. January, pp. 31–40, 2018, doi: 10.1016/j.apgeog.2018.01.007.

I. M. Nur and M. Al Haris, “Geographically Weighted Logistic Regression (GWLR) with Adaptive Gaussian Weighting Function in Human Development Index (HDI) in the Province of Central Java,” J. Phys. Conf. Ser., vol. 1776, no. 1, 2021, doi: 10.1088/1742-6596/1776/1/012048.

M. Xu, C. L. Mei, and S. J. Hou, “Local-linear likelihood estimation of geographically weighted generalized linear models,” J. Spat. Sci., vol. 61, no. 1, pp. 99–117, 2016, doi: 10.1080/14498596.2016.1138245.

A. R. Tizona, R. Goejantoro, and Wasono, “Pemodelan Geographically Weighted Regression (Gwr) dengan Fungsi Pembobot Adaptive Kernel Bisquare untuk Angka Kesakitan Demam Berdarah di Kalimantan Timur Tahun 2015,” J. Eksponensial, vol. 8, no. 1, 2017.

R. A. Johnson and D. W. Wichern, Applied Multivariate Statistical Analysis.: Pearson Prentice Hall. Pearson Prentice Hall, 2007.

Published
2023-12-19
How to Cite
[1]
H. Perdana, N. Satyahadewi, and F. Arsyi, “DETERMINING STUDENT GRADUATION BASED ON SCHOOL LOCATION USING GEOGRAPHICALLY WEIGHTED LOGISTIC REGRESSION”, BAREKENG: J. Math. & App., vol. 17, no. 4, pp. 2273-2280, Dec. 2023.