Pemodelan faktor-faktor yang memengaruhi angka kesembuhan tuberkulosis di Jawa Barat menggunakan regresi spline truncated

Niken Evitasari, S. Handajani, Hasih Pratiwi
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Abstract

Tuberculosis is a bacterial infection caused by Mycobacterium tuberculosis. Transmission of tuberculosis (TBC) can occur due to environmental factors and community behavior. West Java is Indonesia's province with the highest number of tuberculosis cases. Curing tuberculosis is critical to reducing cases and breaking the transmission chain. The Human Development Index (IPM), good sanitation, comprehensive tuberculosis treatment, public spaces (PS) meeting health criteria, and residents having health insurance are all assumed to influence the tuberculosis cure rate. This research aimed to model the elements that have a substantial impact on tuberculosis cure rates.The tuberculosis cure rate in West Java in 2020 was modeled using nonparametric spline truncated linear regression with a combination of knot points (3,3,3,3,2). The lowest Generalized Cross Validation (GCV) value of 26.7579 was used to find the best knot point. The adjusted coefficient of determination for this study was 96.35 percent, indicating that the linear truncated spline regression model with a combination of knot points is feasible to use in modeling. The five predictor variables simultaneously affect the tuberculosis cure rate of 96.35 percent, while 3.65 percent is influenced by other variables not used in the study. Keywords: Spline truncated, tuberculosis cure, knots, GCVMSC2020: 62G08
结核病是一种由结核分枝杆菌引起的细菌感染。结核病(TBC)的传播可由环境因素和社区行为引起。西爪哇省是印尼肺结核病例最多的省份。治疗结核病对于减少病例和打破传播链至关重要。人类发展指数(IPM)、良好的卫生设施、综合结核病治疗、符合健康标准的公共空间(PS)以及居民是否有健康保险都被认为是影响结核病治愈率的因素。这项研究旨在模拟对结核病治愈率有重大影响的因素。采用结点(3,3,3,3,2)组合的非参数样条截断线性回归对西爪哇2020年结核病治愈率进行建模。采用最低的广义交叉验证(GCV)值26.7579寻找最佳结点。本研究调整后的决定系数为96.35%,表明结合结点的线性截断样条回归模型是可行的。这五个预测变量同时影响96.35%的结核病治愈率,而3.65%的结核病治愈率受到研究中未使用的其他变量的影响。关键词:样条截断,结核治疗,结,GCVMSC2020: 62G08
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