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1.

Parameter estimation in mixed estimator nonparametric regression-spline truncated and fourier series (MENR-SF) for behavioral factors of prevalence of heart disease Pages 597-608 Right click to download the paper Download PDF

Authors: I Nyoman Budiantara, Nur Chamidah, Andrea Tri Rian Dani, Muhammad Anshari

doi 10.5267/j.ijdns.2026.1.011 Crossmark

Keywords: Mixed Estimators, Nonparametric Regression, Spline Truncated, Fourier Series, Prevalence of Heart Disease

Abstract:
This study aims to develop and apply a Mixed Estimator Nonparametric Regression–Spline Truncated and Fourier Series (MENR–SF) to model the nonlinear relationships between behavioral factors and the prevalence of heart disease in Indonesia. The proposed approach simultaneously combines spline truncated estimators and Fourier series within a unified nonparametric regression framework, allowing each predictor variable to be modeled according to the specific characteristics of its relationship with the response variable. Parameter estimation is conducted using the Least Squares method, while the optimal number of spline knots and Fourier oscillations is determined based on the Generalized Cross-Validation (GCV) criterion. The application of the MENR–SF model to data from the 2023 Indonesian Health Survey (Survei Kesehatan Indonesia, SKI), with 38 provinces as the units of analysis, indicates that the best-performing model is obtained when the prevalence of daily smoking, the proportion of insufficient physical activity, and habitual consumption of fatty foods are modeled using spline truncateds, whereas the proportion of hypertension control is modeled using a Fourier series. The optimal combination, with three spline knots and three Fourier oscillations, yields a minimum GCV value of 1.197, low prediction error, and a coefficient of determination of 0.94, indicating an excellent ability of the model to explain variations in heart disease prevalence. These findings conclude that MENR–SF is a flexible and accurate approach for modeling complex nonlinear relationships in health data. The model offers enhanced flexibility and richer interpretability regarding the effects of behavioral factors, thereby holding strong potential to support data-driven health analysis and policy formulation.
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Journal: IJDS | Year: 2026 | Volume: 10 | Issue: 2 | Views: 166 | Reviews: 0

 

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