Table 3 Covariates in nonlinear mixed-effects models
A. VAS | |||
Nonlinear mixed-model with covariates \(\Delta (t)=(a+\sum_{i}{\beta }_{i}{C}_{i})+\left[{a}_{0}-(a+\sum_{i}{\beta }_{i}{C}_{i})\right]{e}^{-rt}\) | |||
Parameter | Estimate | [95% CI] | P value |
\(a\) | -9.32 | [-20.75, 2.11] | - |
\({\beta }_{Sex}\) | 5.95 | [0.99, 10.91] | 0.009 |
\({\beta }_{KL grade}\) | 4.69 | [1.34, 8.04] | 0.003 |
\({\beta }_{FTA}\) | 0.45 | [0.02, 0.88] | 0.03 |
\({\beta }_{PTS}\) | -1.25 | [-1.88, -0.63] | < 0.0001 |
\({\beta }_{VAS baseline}\) | -0.80 | [-0.88, -0.72] | < 0.0001 |
\({a}_{0}\) | 0.67 | [-1.43, 1.70] | - |
\(r\) | 0.54 | [0.36, 0.72] | - |
AICc; BIC | 693.07; 704.25 | Â | Â |
B. WOMAC | |||
Nonlinear mixed-model with covariates \(\Delta (t)=(a+\sum_{i}{\beta }_{i}{C}_{i})+\left[{a}_{0}-(a+\sum_{i}{\beta }_{i}{C}_{i})\right]{e}^{-rt}\) | |||
Parameter | Estimate | [95% CI] | P value |
\(a\) | -14.53 | [-26.68, -2.38] | - |
\({\beta }_{BMI}\) | 0.28 | [0.01, 0.55] | 0.04 |
\({\beta }_{KL grade}\) | 3.27 | [0.98, 5.56] | 0.003 |
\({\beta }_{WOMAC baseline}\) | -0.87 | [-0.88, -0.86] | < 0.0001 |
\({a}_{0}\) | 0.13 | [-0.81, 1.07] | - |
\(r\) | 0.47 | [0.27, 0.67] | - |
AICc; BIC | 573.85; 583.44 | Â | |
C. KOOS | |||
Nonlinear mixed-model with covariates \(\Delta (t)=(a+\sum_{i}{\beta }_{i}{C}_{i})+\left[{a}_{0}-(a+\sum_{i}{\beta }_{i}{C}_{i})\right]{e}^{-rt}\) | |||
Parameter | Estimate | [95% CI] | P value |
\(a\) | 364.13 | [211.94, 516.32] | - |
\({\beta }_{Age}\) | 1.58 | [0.03, 3.13] | 0.04 |
\({\beta }_{BMI}\) | -2.13 | [-3.30, -0.06] | 0.02 |
\({\beta }_{KL grade}\) | -10.06 | [-20.08, -0.04] | 0.04 |
\({\beta }_{FTA}\) | -5.51 | [-7.85, -3.17] | < 0.0001 |
\({\beta }_{KOOS baseline}\) | -0.91 | [-1.07, -0.75] | < 0.0001 |
\({a}_{0}\) | -8.18 | [-16.80, 0.44] | - |
\(r\) | 0.40 | [0.25, 0.55] | - |
AICc; BIC | 988.82; 1000.77 | Â | |