Simultaneous Modeling of Cardiovascular Disease and Diabetes Incidence with Age, BMI, Smoking, and Physical Activity as Predictors
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Abstract
This study investigated the simultaneous occurrence of cardiovascular disease (CVD) and diabetes and
examined the linear and non-linear effects of age, body mass index (BMI), smoking status, and physical
activity on both outcomes while accounting for their possible dependence. Data from 315 participants were
analysed using descriptive statistics, correlation analysis, logistic regression, and Vector Generalized
Additive Models (VGAMs). The prevalence of CVD and diabetes was 23.81% and 40.95%, respectively, and
the co-occurrence of both conditions was 15.24%. Logistic regression showed that age and BMI were
significant predictors of diabetes, whereas none of the selected predictors had a statistically significant linear
association with CVD. The VGAM identified a significant non-linear relationship between age and diabetes
incidence (p = 0.0134), while the non-linear effects of age and BMI on CVD were not statistically significant.
The estimated residual correlation parameter was 0.552, indicating moderate positive dependence between
CVD and diabetes after adjustment for covariates. The diabetes prediction model showed reasonable
Original Research Article
Are et al.; Asian J. Res. Cardio. Dis., vol. 8, no. 1, pp. 245-261, 2026; Article no.AJRCD.161608
246
discriminatory ability (AUC = 0.76), whereas the CVD model showed poor discriminatory ability (AUC =
0.51). The VGAM joint model also produced lower AIC and BIC values than the restricted independence
model, and the likelihood ratio test confirmed significant dependence between the two outcomes (LRT =
20.60, p < 0.001). These findings support the use of joint modelling for related cardiometabolic outcomes.