A STATISTICAL ANALYTICS OF MIGRATION USING BINARY BAYESIAN LOGISTIC REGRESSION

  • Devi Azarina Manzilir Rohmah Department of Statistics, Faculty of Mathematics and Science, Brawijaya University, Indonesia
  • Ani Budi Astuti Department of Statistics, Faculty of Mathematics and Science, Brawijaya University, Indonesia
  • Achmad Efendi Department of Statistics, Faculty of Mathematics and Science, Brawijaya University, Indonesia
Keywords: Bayesian Method, Binary Logistic Regression, Migration

Abstract

Binary logistic regression is utilized in research to understand the relationship between multiple independent variables and a binary response variable. In logistic regression modelling, parameter estimation is regarded as a vital stage. The performance of this estimation is often affected by the sample size and data characteristics, and to deal with this problem, the Bayesian method can be employed as an estimation. This research aims to use Regression Logistic with Bayesian estimation to figure out the determinant of recent in-migrants status in Special Region of Yogyakarta 2021, where Yogyakarta’s recent in-migrants in 2021 took the first position in Indonesia, whereas this city has the lowest regional minimum wage in Indonesia. The Bayesian method was used in this study to obtain a better estimate than previous studies using maximum likelihood estimation, because Bayesian is unbiased for unbalanced cases which are often found in logistic regression. This research results show that particular variables such as resident age, resident marital status, resident main activities, resident latest education, and resident homeownership have significant effect on resident migrating to Special Region of Yogyakarta, Indonesia

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References

M. B. Toney and A. K. Bailey, “Migration, an Overview,” in Encyclopedia of Quality of Life and Well-Being Research, Dordrecht: Springer Netherlands, 2014, pp. 4044–4050. doi: 10.1007/978-94-007-0753-5_1804.

X. Zou, Y. Hu, Z. Tian, and K. Shen, “Logistic Regression Model Optimization and Case Analysis,” in Proc. IEEE 7th Int. Conf. Comput. Sci. Netw. Technol. ICCSNT 2019, Oct. 2019, pp. 135–139.

J. Liang, G. Bi, and C. Zhan, “Multinomial and ordinal Logistic regression analyses with multi-categorical variables using R,” Ann Transl Med, vol. 8, no. 16, pp. 982–982, Aug. 2020, doi: 10.21037/atm-2020-57.

N. Srimaneekarn, A. Hayter, W. Liu, and C. Tantipoj, “Binary Response Analysis Using Logistic Regression in Dentistry,” Int J Dent, vol. 2022, pp. 1–7, Mar. 2022, doi: 10.1155/2022/5358602.

M. Syairozi and K. Wijaya, “Migrasi Tenaga Kerja Informal: Studi Pada Kecamatan Sukorejo Kabupaten Pasuruan,” Seminar Nasional Sistem Informasi (SENASIF), vol. 4, no. 1, pp. 2383–2394, 2020.

T. Andias and W. Syafitri, “Analisis Faktor-Faktor yang Mempengaruhi Keputusan Migran Bekerja di Dalam Negeri dan Luar Negeri (Studi Kasus Kecamatan Gondanglegi Kabupaten Malang),” Jurnal Ilmiah Mahasiswa FEB Universitas Brawijaya, vol. 2, no. 2, 2014.

A. Zaiceva, The Impact of Aging on The Scale of Migration. IZA World of Labor, Institute of Labor Economics (IZA), 2014.

C. Dustmann and J. Mestres, “Savings, Asset Holdings, and Temporary Migration,” Ann Econ Stat, no. 97/98, p. 289, 2010, doi: 10.2307/41219119.

A. B. Owen, “Infinitely Imbalanced Logistic Regression,” 2007.

G. King and L. Zeng, “Logistic Regression in Rare Events Data,” Political Analysis, vol. 9, no. 2, pp. 137–163, 2001.

D. W. Hosmer and S. Lemeshow, Applied Logistic Regression, Third Edition. New Jersey: John Wiley & Sons, 2013.

S. T. Rachev, J. S. Hsu, B. S. Bagasheva, and F. J. Fabozzi, Bayesian Methods in Finance. John Wiley & Sons, 2008.

J. K. Ghosh, M. Delampady, and T. Samanta, An Introduction to Bayesian Analysis: Theory and Methods. Springer Science dan Business Media, 2007.

H. Liu and D. A. Powers, “Bayesian Inference for zero inflated poisson regression modes. ,” Journal of Statistics : Advance in Theory and Aplications, vol. 7, no. 2, pp. 155-188., 2012.

A. Genkin, D. D. Lewis, and D. Mandigan, “Large Scale Bayesian Logistic Regression for Text Categorization,” Technometrics, vol. 49, no. 3, pp. 291–304, 2007.

R. E. Walpole, R. H. Myers, S. L. Myers, and K. Ye, Probability & Statistics for Engineers & Scientist, 9th ed. Pearson Education, Inc, 2012.

I. Ntzoufras, Bayesian Modeling Using WinBUGS. John Wiley & Sons, 2011.

M. Guo, M. Stensland, M. Li, X. Dong, and A. Tiwari, “Is Migration at Older Age Associated With Poorer Psychological Well-Being? Evidence from Chinese Older Immigrants in the United States,” Gerontologist, Jun. 2018, doi: 10.1093/geront/gny066.

M. J. Benetsky, C. A. Burd, and M. A. Rapino, “Young Adult Migration,” 2015.

A. Zeki Al Hazzouri et al., “Quantifying Lifecourse Drivers of International Migration,” Epidemiology, vol. 32, no. 1, pp. 50–60, Jan. 2021, doi: 10.1097/EDE.0000000000001266.

United Nations General Assembly, “The impact of migration on migrant women and girls: a gender perspective,” Apr. 2019.

B. S. A. Yeoh, “Migration and Gender Politics in Southeast Asia,” Migration, Mobility, & Displacement, vol. 2, no. 1, 2016.

D. W. Guntoro, S. Indartono, and I. Sholekhah, “Understanding gender, marital status & education as internal migration factors in developing countries,” Jurnal Pendidikan Geografi, vol. 24, no. 2, pp. 98–107, Jun. 2019, doi: 10.17977/um017v24i22019p098.

F. Borgonovi and A. Pokropek, “Education and Attitudes Toward Migration in a Cross Country Perspective,” Front Psychol, vol. 10, Oct. 2019, doi: 10.3389/fpsyg.2019.02224.

E. Browne, “Evidence on education as a driver for migration,” 2017.

M. Urbański, “Comparing Push and Pull Factors Affecting Migration,” Economies, vol. 10, no. 1, p. 21, Jan. 2022, doi: 10.3390/economies10010021.

I. B. Mantra, Demografi Umum. Yogyakarta: Pustaka Pelajar, 2012.

A. K. Sahin and S. Aytac, “International Migration of Highly Qualified Housewife Mothers and Their Career Concerns,” International Journal of Business and Management Research, vol. 9, no. 1, pp. 45–50, Feb. 2021, doi: 10.37391/IJBMR.090107.

S. Zhang, C. Hou, and J. Chen, “Homeownership, city integration, and the sense of happiness of migrants in urban China,” Frontiers of Business Research in China, vol. 13, no. 1, p. 1, Dec. 2019, doi: 10.1186/s11782-019-0050-5.

A. C. Helderman, M. Ham, and C. H. Mulder, “Migration and Home Ownership,” Tijdschrift voor Economische en Sociale Geografie, vol. 97, no. 2, pp. 111–125, Apr. 2006, doi: 10.1111/j.1467-9663.2006.00506.x.

Published
2023-09-30
How to Cite
[1]
D. Rohmah, A. Astuti, and A. Efendi, “A STATISTICAL ANALYTICS OF MIGRATION USING BINARY BAYESIAN LOGISTIC REGRESSION”, BAREKENG: J. Math. & App., vol. 17, no. 3, pp. 1725-1738, Sep. 2023.