Modeling the Percentage of Tuberculosis Cure in Indonesia Using a Multivariate Adaptive Regression Spline Approach

Dita Aris Novianti, Nadia Dwi Marwanda, Toha Saifudin, Suliyanto Suliyanto

Abstract


Tuberculosis (TB) is an infectious disease caused by the bacterium Mycobacterium Tuberculosis. After India, Indonesia is the country with the second highest number of TB sufferers in the world. TB prevention efforts in Indonesia have been carried out, even since 1995. However, in general, 2006-2022 the TB cure in Indonesia tends to experience a downward trend. Therefore, it is important to know what variables have a significant effect and how the pattern relates to the percentage of TB cures. We urgently need this information to optimize TB handling efforts and achieve Sustainable Development Goals (SDGs) point 3, which focuses on good health and well-being. For that purpose, this study used the Multivariate Adaptive Regression Spline (MARS) approach. MARS is considered more flexible in overcoming cases of predictor variables that do not form a certain pattern to their response variables and can accommodate possible interactions between predictor variables. The best model was obtained at BF=18,MI=2, and MO=0 with minimum GCV value is 37.053 and R^2 is 91.6%, with significant predictor variables are food management sites meet the requirements according to standards, complete treatment, smoking population over 15 years, families with healthy latrines, and districts/municipalities implement healthy living germas policy. The significance of the nine predictors should prioritize enhancing the quality of health services for example ensuring a fair distribution of complete treatment for TB patients.


Keywords


Tuberculosis; Multivariate Adaptive Regression Spline (MARS); Nonparametric Regression; Statistics

Full Text:

PDF

References


R. Miggiano, M. Rizzi and D. M. Ferraris, "Myctobacterium Tuberculosis Pathogenesis, Infection Preventation an Treatment," Pathogens, vol. 9, no. 5, p. 385, 2020.

Direktorat Jenderal Pengendalian Penyakit dan Penyehatan Lingkungan, Pedoman Nasional Pengendalian Tuberkulosis, Jakarta: Kementerian Kesehatan Republik Indonesia, 2020.

I. Yuniar, A. Wahyono and H. Purnomo, "Relationship of House Building Materials, Lighting and Occupational Density to the Incidence of Tuberculosis," in Proceedings of the 3rd Borobudur International Symposium on Humanities and Social Science 2021, vol. 3, Magelang, Indonesia, Atlantis Press, 222, pp. 378-382.

Direktorat Jenderal Pencegahan dan Pengendalian Penyakit, "Laporan Program Penanggulangan Tuberkulosis Tahun 2021," Kementerian Indonesia Republik Indonesia, Jakarta, 2022.

Direktorat Jenderal Pencegahan dan Pengendalian Penyakit, Strategi Nasional Penanggulangan Tuberkulosis di Indonesia 2020-2024, Jakarta: Kementerian Kesehatan Republik Indonesia, 2020.

Direktorat Jenderal Pengendalian Penyakit dan Penyehatan Lingkungan, Pedoman Nasional Pengendalian Tuberkulosis, Jakarta: Kementerian Kesehatan Republik Indonesia, 2014.

J. H. Friedman, "Multivariate Adaptive Regression Splines," The Annals od Statistics, vol. 19, no. 1, pp. 1-67, 1991.

N. Evitasari., S. Handajani. and H. Pratiwi, "Pemodelan Faktor-Faktor yang Memengaruhi Kesembuhan Tuberkulosis di Provinsi Jawa Timur dengan Regresi Nonparametrik Spline Truncated," in ProSandika Universitas Pekalongan, Pekalongan, 2022.

D. F, Shabrina, N. A, T. M, H. N and Wahyono, "Prediction of Indonesia Inflation Rate Using Regression Model Based on Genetic Algorithm," Journal Online Informatika (JOIN), vol. 5, no. 1, pp. 45-52, 2020.

P. Cizek and S. Sadikoglu, "Robust Nonparametric Regression: A Review," Wiley Interdiscipinary Reviews: Computational Statistics, vol. 12, no. 3, pp. 1-16, 2019.

M. S. Abed, F. J. Kadhim, J. K. Almusawi, H. Imran, L. F. A. Bernardo and S. N. Henedy, "Untilizing Multivariate Adaptive Regression Splines (MARS) for Precise Estimation of Soil Compaction Parameters," Applied Sciences, vol. 13, no. 21, 2023.

S. Celik, A. Bakoglu and M. I. Catal, "Examination of the Relationship Among Plant Characteristics Affecting Yield in Pea Plants with MARS Algorithm," Journal of Animal & Plant Sciences, vol. 31, no. 6, pp. 1622-1631, 2021.

H. Kuswanto, "Multilevel Spline Linear Model in Nonparametric Regression using the Method Restricted Maximum Likelihood," in Doctoral Disertation, Universitas Hasanuddin, Makassar, 2022.

S. D. P. Yasmirullah, B. W. Otok, J. D. T. Purnomo and D. D. Prastyo, "Multivariate Adaptive Regression Spline (MARS) Methods with Application to Multi Drug Resistance Tuberculosis (MDR-TB) Prevalence," in AIP Conference Proceedings, Surabaya, 2021.

J. Friedman. and C. Roose, "An Introduction to Multivariate Adaptive Regression Splines," Statistical Methods in Medical Research, vol. 4, pp. 197-217, 1995.

R. Biswas, B. Rai, P. Samui and S. S. Roy, "Estimating Concrete Compressive Strength Using MARS, LSSVM and GP," Engineering Journal, vol. 24, no. 2, pp. 41-52, 2020.

S. Rissambesy, S. Aulele and F. Lembang, "Misclassiification Analysis of Elementary School Accreditation Data in Ambon City Using Multivariate Adaptive Regression Spline," Jurnal Matematika, Statistik, dan Komputasi, vol. 18, no. 3, pp. 394-406, 2022.

Sekretariat Jenderal, Profil Kesehatan Indonesia tahun 2022, Jakarta: Kementerian Kesehatan Republik Indonesia, 2023.




DOI: http://dx.doi.org/10.12962/j27213862.v7i2.20344

Refbacks

  • There are currently no refbacks.




Creative Commons License
Inferensi by Department of Statistics ITS is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/inferensi.

ISSN:  0216-308X

e-ISSN: 2721-3862

Web
Analytics Made Easy - StatCounter View My Stats