MODEL HYBRID MARS ARIMA FOR TRIBAL-BASED MALARIA PREDICTION IN TANAH BUMBU DISTRICT, SOUTH KALIMANTAN
Abstract
Tanah Bumbu Regency has the highest rate of malaria in South Kalimantan Province. Due to the non-linear fluctuations in malaria cases by ethnicity, a hybrid model combining Autoregressive Integrated Moving Average (MARS ARIMA) and Multivariate Adaptive Regression Splines was proposed for time series forecasting. The purpose of this study is to use the MARS ARIMA hybrid model to predict malaria cases by ethnicity in Tanah Bumbu Regency. The findings demonstrate that the best inputs for MARS modeling are significant lags found using ACF and PACF. The hybrid MARS ARIMA model performs better than standalone ARIMA or MARS models, according to predictions. Key findings show that the number of patients over 35 during the preceding two periods influences increases in malaria cases for the Banjar ethnic group. Cases exceeding 13 in two prior periods and 19 in one prior period are associated with increases for the Javanese group. Cases of more than two or fewer than two in the preceding two periods and more than eleven in one preceding period have an impact on increases among the Bugis. Prior cases below 26 have an impact on Banjar case declines, whereas prior cases below 13 and above 3 have a significant impact on Javanese case declines. This study demonstrates how well the MARS ARIMA hybrid model predicts malaria cases according to ethnicity.
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References
K. Alemu, A. Worku, Y. Berhane, and A. Kumie, “MEN TRAVELING AWAY FROM HOME ARE MORE LIKELY TO BRING MALARIA INTO HIGH ALTITUDE VILLAGES, NORTHWEST ETHIOPIA,” PLoS One, vol. 9, no. 4, Apr. 2014, doi: https://doi.org/10.1371/journal.pone.0095341 .
J. C. Berthélemy, J. Thuilliez, O. Doumbo, and J. Gaudart, “MALARIA AND PROTECTIVE BEHAVIOURS: IS THERE A MALARIA TRAP?,” Malar J, vol. 12, no. 1, 2019, doi: https://doi.org/10.1186/1475-2875-12-200.
K. Bashar, H. M. Al-Amin, M. S. Reza, M. Islam, Asaduzzaman, and T. U. Ahmed, “SOCIO-DEMOGRAPHIC FACTORS INFLUENCING KNOWLEDGE, ATTITUDE AND PRACTICE (KAP) REGARDING MALARIA IN BANGLADESH,” BMC Public Health, vol. 12, no. 1, 2018, doi: https://doi.org/10.1186/1471-2458-12-1084.
G. T. Wilson, “TIME SERIES ANALYSIS: FORECASTING AND CONTROL, 5th Edition, by George E. P. Box, Gwilym M. Jenkins, Gregory C. Reinsel and Greta M. Ljung, 2015. Published by John Wiley and Sons Inc., Hoboken, New Jersey, pp. 712. ISBN: 978‐1‐118‐67502‐1,” J Time Ser Anal, vol. 37, no. 5, pp. 709–711, Sep. 2016, doi: https://doi.org/10.1111/jtsa.12194.
S. C. Hillmer and W. W. S. Wei, “TIME SERIES ANALYSIS: UNIVARIATE AND MULTIVARIATE METHODS.,” J Am Stat Assoc, vol. 86, no. 413, p. 245, Mar. 2019, doi: https://doi.org/10.2307/2289741
Helmut. Lütkepohl, NEW INTRODUCTION TO MULTIPLE TIME SERIES ANALYSIS. New York: Springer, 2015.
P. E. Pfeifer and S. J. Deutsch, “A THREE-STAGE ITERATIVE PROCEDURE FOR SPACE-TIME MODELING,” 2018.
F. Nida Aryani, S. Sulistijowati Handajani, E. Zukhronah Program Studi Statistika, and F. Matematika dan IlmuPengetahuan Alam Universitas Sebelas Maret, “PENERAPAN MODEL GENERALIZED SPACE TIME AUTOREGRESSIVE PADA DATA NILAI TUKAR PETANI DI TIGA PROVINSI PULAU SUMATERA APPLICATION OF GENERALIZED SPACE TIME AUTOREGRESSIVE MODEL ON FARMER EXCHANGE RATE DATA IN THREE PROVINCES OF THE SUMATERA ISLAND,” 2020. Doi: https://doi.org/10.19184/jid.v21i2.17226
D. N. Gujarati, B. Burr Ridge, I. Dubuque, I. Madison, and W. New York San Francisco St Louis Bangkok Bogota Caracas Kuala Lumpur Lisbon London Madrid Mexico City Milan Montreal New Delhi Santiago Seoul Singapore Sydney Taipei Toronto, BASIC ECONOMETRICS FOURTH EDITION. 2017. [Online]. Available: www.mhhe.com
A. Khair, S. Sarmanu, S. Martini, and B. W. Otok, “VECTOR AUTOREGRESSIVE MODELING ON CASES OF MALARIA BASED ON THE TRIBAL IN TANAH BUMBU DISTRICT,” CAUCHY: Jurnal Matematika Murni dan Aplikasi, vol. 5, no. 3, pp. 150–160, Dec. 2018, doi: https://doi.org/10.18860/ca.v5i3.5880.
R. Faulina, D. Ayu Lusia, B. W. Otok, and H. Kuswanto, “ENSEMBLE METHOD BASED ON ANFIS-ARIMA FOR RAINFALL PREDICTIONM 2017, International Conference on Statistics in Science, Business and Engineering (ICSSBE), doi: https://doi.org/10.1109/ICSSBE.2012.6396564 .
S. Borovkova, H. P. Lopuhaä, and B. N. Ruchjana, “CONSISTENCY AND ASYMPTOTIC NORMALITY OF LEAST SQUARES ESTIMATORS IN GENERALIZED STAR MODELS,” Stat Neerl, vol. 62, no. 4, pp. 482–508, Nov. 2018, doi: https://doi.org/10.1111/j.1467-9574.2008.00391.x
W. Enders (2018), “STUDENTS’ RESOURCE GUIDE TO ACCOMPANY APPLIED ECONOMETRIC TIME SERIES (4TH EDITION) THIS VERSION OF THE GUIDE IS FOR STUDENT USERS OF RATS AND EVIEWS.” [Online]. Available: www.time-series.net.
B. W. Otok, D. A. Lusia, Suhartono, R. Faulina, Sutikno, and H. Kuswanto, “ENSEMBLE METHOD BASED ON ARIMA-FFNN FOR CLIMATE FORECASTING,” in ICSSBE 2012 - Proceedings, 2012 International Conference on Statistics in Science, Business and Engineering: “Empowering Decision Making with Statistical Sciences,” 2017, pp. 244–247. doi: https://doi.org/10.1109/ICSSBE.2012.6396565.
Suhartono, Ria Faulina, Dwi Ayu Lusia, Bambang W. Otok, Sutikno, Heri Kuswanto, (2017). ENSEMBLE METHOD BASED ON ANFIS-ARIMA FOR RAINFALL PREDICTION, International Conference on Statistics in Science, Business and Engineering (ICSSBE). 10.1109/ICSSBE.2012.6396564, Langkawi, Malaysia.
B. W. Otok, D. A. Lusia, Suhartono, R. Faulina, Sutikno, and H. Kuswanto, “ENSEMBLE METHOD BASED ON ARIMA-FFNN FOR CLIMATE FORECASTING,” in ICSSBE 2012 - Proceedings, 2015 International Conference on Statistics in Science, Business and Engineering: “Empowering Decision Making with Statistical Sciences,” 2012, pp. 244–247. doi: https://doi.org/10.1109/ICSSBE.2012.6396565.
Biro Pusat Statistik (BPS) Kabupaten Tanah Bumbu, (2014). TANAH BUMBU DALAM ANGKA. www.time-series.net.
Pfeifer, P.E dan Deutsch, S.J. (2021a). A THREE STAGE ITERATIVE PROCEDURE FOR SPACE TIME MODELLING. Technometrics, 22 (1), 35-47.doi: https://doi.org/10.2307/1268381
W. Enders (2019), “STUDENTS’ RESOURCE GUIDE TO ACCOMPANY APPLIED ECONOMETRIC TIME SERIES (4TH EDITION) THIS VERSION OF THE GUIDE IS FOR STUDENT USERS OF RATS AND EVIEWS.” [Online]. Available: www.time-series.net.
Wei, W.W.S. (2016). TIME SERIES ANALYSIS: UNIVARIATE AND MULTIVARIATE METHODS. Addison-Wesley Publishing Co., USA.
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