Prediksi Jumlah Sepeda yang Melintasi Willianmsburg Bridge Menggunakan Regresi Binomial Negatif Berdasarkan Variabel Cuaca: Suhu dan Curah Hujan
DOI:
https://doi.org/10.62383/algoritma.v3i6.859Keywords:
Cyclist Mobility, Negative Binomial Regression, Overdispersion, Statistical Modeling, WeatherAbstract
Negative Binomial Regression is a statistical modeling approach used to analyze count data with overdispersion, where the variance exceeds the mean. This study applies the method to examine the influence of weather factors on the daily number of cyclists crossing the Williamsburg Bridge in New York City. The independent variables used in the analysis include maximum temperature, minimum temperature, and precipitation. The dataset was obtained from the NYC Department of Transportation through the Kaggle platform and covers the period from April 1 to April 30, 2016. The analysis began with a Poisson Regression model; however, the presence of overdispersion was identified, indicated by a high AIC value of 8598.19, suggesting that the model was not suitable. The alternative Negative Binomial Regression model was then employed and produced a significantly lower AIC value of 518.77, demonstrating a superior fit. The findings indicate that maximum temperature has a positive effect on the number of cyclists, while precipitation shows a significant negative effect. Conversely, minimum temperature does not exhibit a meaningful influence. These results highlight the importance of considering weather conditions when planning bicycle-based transportation systems and support the development of sustainable mobility strategies in urban environments.
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References
Ananda, E. Y. P., Annas, S., Ihsan, H., Sukarna, & Aswi, A. (2024). Negative binomial regression analysis of factors influencing stunting cases in Central Lombok Regency. Inferensi, 7(3), 167–175. https://doi.org/10.12962/j27213862.v7i3.21436
Dani, A. T. R., Fathurahman, M., Ni’matuzzahroh, L., Permata, R. P., & Putra, F. B. (2025). Exploring crime problems from a statistical point of view with negative binomial regression. Varian, 8(2), 199–208. https://doi.org/10.30812/varian.v8i2.4445
Famoye, F. (2010). On the bivariate negative binomial regression model. Journal of Applied Statistics, 37(6), 969–981. https://doi.org/10.1080/02664760902984618
Fitrial, N. H., & Fatikhurrizqi, A. (2020). Pemodelan jumlah kasus COVID-19 di Indonesia dengan pendekatan regresi Poisson dan regresi binomial negatif. Seminar Nasional Official Statistics, 2020(1), 65-72. https://doi.org/10.34123/semnasoffstat.v2020i1.465
Greene, W. H. (2012). Econometric analysis (7th ed.). Pearson Education Limited.
Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2019). Multivariate data analysis (8th ed.). Cengage.
Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2018). Multivariate data analysis. https://doi.org/10.1002/9781119409137.ch4
Montgomery, D. C., Peck, E. A., & Vining, G. G. (2012). Introduction to linear regression analysis (5th ed.). John Wiley & Sons. https://doi.org/10.2307/2348362
Pratama, W., & Wulandari, S. P. (2015). Pemetaan dan pemodelan jumlah kasus penyakit tuberculosis (TBC) di Provinsi Jawa Barat dengan pendekatan geographically weighted negative binomial regression.
Rahmadeni, & Sari, N. (2018). Solusi overdispersi menggunakan generalized Poisson regression (Studi Kasus: Penderita HIV di Provinsi Riau). Jurnal Sains Matematika dan Statistika, 4(2).
Rahmayanti, D., & Rizki, S. W. (2018). Penanganan overdispersi dengan model binomial negatif pada data klaim asuransi kendaraan bermotor roda empat. Buletin Ilmiah Math.Stat. dan Terapannya (Bimaster), 7.
Ramadan, A., & Rantini, D. (2024). Application of negative binomial regression model in West Java tourism. Journal of Advanced Technology and Multidiscipline, 3(1), 9–12. https://doi.org/10.20473/jatm.v3i1.57281
Sauddin, A., Auliah, N. I., & Alwi, W. (2020). Pemodelan jumlah kematian ibu di Provinsi Sulawesi Selatan menggunakan regresi binomial negatif. Jurnal MSA (Matematika dan Statistika serta Aplikasinya), 8(2), 42. https://doi.org/10.24252/msa.v8i2.17409
Syafiqoh, A. J., Mahardika, R., Amaria, S., Winaryati, E., & Al Haris, M. (2024). Pemodelan regresi binomial negatif untuk mengevaluasi faktor-faktor yang mempengaruhi kasus tuberkulosis di Provinsi Jawa Barat. Jurnal Matematika dan Statistika serta Aplikasinya, 12(1), 15-23. https://doi.org/10.24252/msa.v12i1.39450
Tendriyawati, Wibawa, G. N. A., & Abapihi, B. (2023). Pemodelan regresi Poisson terhadap faktor-faktor yang mempengaruhi terjadinya hipertensi di Kota Kendari. Jurnal Matematika dan Statistika, 3(1), 255-262. https://doi.org/10.33772/jmks.v3i1.35
Valenzuela, E. A., Barban, P., Beitel, D., Moreno, L. F. M., & Nguyen, V. T. Van. (2024). Analyzing the behavior and growth of cycling in four North American cities before, during, and after the COVID-19 pandemic. Transportation Research Record, 2678(12), 420–433. https://doi.org/10.1177/03611981231157396
Widodo, E., & Ariani, P. M. (2018). Analisis faktor penyebab penyakit DBD di Jawa Tengah menggunakan regresi binomial negatif. Jurnal Kesehatan Vokasi, 3(1). https://doi.org/10.22146/jkesvo.33870
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