Pengaruh Suplementasi Vitamin D dan BMI terhadap LVEF dengan Pendekatan Generalized Additive Models Longitudinal

Dita  Amelia; Suliyanto Suliyanto; Victoria Anggia  Alexandra; Adelia Frielady  Yosifa; Syavrilia Alfiatur  Rakhma; Agnes Happy  Julianto

doi:10.12962/limits.v22i1.3378

Authors

Dita Amelia Departemen Matematika, Universitas Airlangga
Suliyanto Suliyanto Departemen Matematika, Universitas Airlangga
Victoria Anggia Alexandra Departemen Matematika, Universitas Airlangga
Adelia Frielady Yosifa Departemen Matematika, Universitas Airlangga
Syavrilia Alfiatur Rakhma Departemen Matematika, Universitas Airlangga
Agnes Happy Julianto Departemen Matematika, Universitas Airlangga

DOI:

https://doi.org/10.12962/limits.v22i1.3378

Keywords:

Generalized Additive Models, Longitudinal

Abstract

Cardiovascular diseases (CVD) are the leading cause of global mortality, with Left Ventricular Ejection Fraction (LVEF) being a key indicator of heart function. This study explores the impact of vitamin D supplementation and Body Mass Index (BMI) on LVEF using Generalized Additive Models (GAM) in longitudinal data from 47 elderly patients with hypovitaminosis D undergoing orthopedic surgery. LVEF was measured before surgery and at 1, 3, and 6 months post-intervention. GAM was employed to capture nonlinear relationships between variables with working correlation structures such as Independence, Exchangeable, Unstructured, and Autoregressive-1 (AR-1). The findings revealed a significant increase in vitamin D levels and LVEF following supplementation, while BMI remained relatively stable throughout the observation period. The best GAM model with AR-1 correlation structure achieved the lowest Quasi Information Criterion (QIC) score of 443.47, indicating a complex relationship between vitamin D and LVEF and a linear relationship between BMI and LVEF. Vitamin D demonstrated a significant nonlinear effect on LVEF improvement, whereas a 1-point increase in BMI raised LVEF by 0.291%. This study underscores the importance of vitamin D supplementation in enhancing heart function among elderly patients with hypovitaminosis D, supporting the development of evidence-based health policies

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