Letter to the Editor: Robustness of osteoporosis risk prediction models with enhanced statistical analyses

In response to Oka et al.'s letter, we conducted additional statistical analyses to validate the robustness of our osteoporosis risk prediction model using NHANES 2007-2014 data (n = 7924). We evaluated 10 key predictors through Spearman's rho, Kendall's tau, Mutual Information (MI), and Total Correlation. Weight (BMX_BMXWT) and arm circumference (BMX_BMXARMC) showed strong negative correlations with osteoporosis risk (rho: 0.49, -0.47, p < 1e-270; MI: 0.17, 0.15), while age (DEMO_RIDAGEYR) exhibited a positive correlation (rho: 0.33, p < 1e-128; MI: 0.08). Total Correlation (32.68) confirmed significant multivariate interactions among predictors. These findings reinforce the model's predictive strength, addressing Oka et al.'s recommendations and affirming the importance of anthropometric and demographic factors in osteoporosis risk assessment.