Proceedings of the 2nd International Conference on Sciences, Mathematics, and Education 2023 (ICOSMED 2023)

Recovery Rate of Pulmonary Tuberculosis Patients Using 2-Parameter Gamma Regression Model with Weighted Least Square Approach

Authors
Hendra H. Dukalang1, 2, Joko Purwadi1, 3, *, Sukma Adi Perdana1, 4, Setia Ningsih5
1Department of Statistics, Institut Teknologi Sepuluh Nopember, Surabaya, 60111, Indonesia
2Syariah Banking, IAIN Sultan AMAI Gorontalo, Indonesia, Gorontalo, 96181, Indonesia
3Mathematics, Faculty of Applied Science and Technology, Universitas Ahmad, Dahlan, 55166, Yogyakarta, Indonesia
4Management of Islamic Education, STAIN Sultan Abdurrahman Kepri, Toapaya, 29157, Indonesia
5Department of Mathematics, Universitas Negeri Gorontalo, Bone Bolango, 96554, Indonesia
*Corresponding author. Email: joko@math.uad.ac.id
Corresponding Author
Joko Purwadi
Available Online 28 July 2025.
DOI
10.2991/978-2-38476-410-5_6How to use a DOI?
Keywords
pulmonary tuberculosis; recovery rate; gamma regression model; Weighted least square
Abstract

This paper discus about the recovery rate of Pulmonary Tuberculosis (TB) Patient. data analysis is carried out using regression methods. Regression models are generally built on assumptions following the Normal distribution, but in practice empirically, this assumption is not always correct because it is possible that the data distribution is asymmetric and may even be thicker or thinner-tailed than the normal distribution. The gamma regression model is used when the values of the response variables under the study are positively skewed following the gamma distribution. Based on the results of the estimated parameters of the regression model with a weight least square and the interpretation that has been carried out, it can be concluded that if the TB patient-free variables such as Age X1, Indication of shortness of breath X3, Indication of Cough X4, and previous history of pulmonary TB X6 are of low value, it is estimated that the treatment period of the TB patient will also be low or the patient will recover faster.

Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the 2nd International Conference on Sciences, Mathematics, and Education 2023 (ICOSMED 2023)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
28 July 2025
ISBN
978-2-38476-410-5
ISSN
2352-5398
DOI
10.2991/978-2-38476-410-5_6How to use a DOI?
Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

TY  - CONF
AU  - Hendra H. Dukalang
AU  - Joko Purwadi
AU  - Sukma Adi Perdana
AU  - Setia Ningsih
PY  - 2025
DA  - 2025/07/28
TI  - Recovery Rate of Pulmonary Tuberculosis Patients Using 2-Parameter Gamma Regression Model with Weighted Least Square Approach
BT  - Proceedings of the 2nd International Conference on Sciences, Mathematics, and Education 2023 (ICOSMED 2023)
PB  - Atlantis Press
SP  - 56
EP  - 66
SN  - 2352-5398
UR  - https://doi.org/10.2991/978-2-38476-410-5_6
DO  - 10.2991/978-2-38476-410-5_6
ID  - Dukalang2025
ER  -