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. 2012 Mar 28;7(3):e34287. doi: 10.1371/journal.pone.0034287

Table 3. Discrimination and calibration of Framingham functions (FRS), recalibrated FRS and Health ABC function in men (n = 981).

Participants with Risk Factor, N (%) CHD events (N) FRS Recalibrated FRS Refit FRS (Health ABC function )*
Coef Coef Coef (95% CI) HR (95% CI)
Age, y, mean (SD) 73.613 (2.86) 205 0.04826 0.04826 0.05 (−0.00,0.10) 1.05 (1.00,1.10)
TC, mg/dL
<160 139 (14%) 23 −0.65945 −0.65945 −0.32 (−0.78,0.14) 0.73 (0.46,1.15)
160–199 451 (46%) 94 Referent Referent Referent Referent
200–239 303 (31%) 69 0.17692 0.17692
240–279 70 (7%) 15 0.50539 0.50539 0.10 (−0.20,0.39) 1.10 (0.82,1.48)
≥280 18 (2%) 4 0.65713 0.65713
HDL-C, mg/dL
<35 140 (14%) 28 0.49744 0.49744
35–44 295 (30%) 72 0.24310 0.24310 Referent Referent
45–49 160 (16%) 38 Referent Referent
50–59 204 (21%) 40 −0.05107 −0.05107 −0.23 (−0.58,0.13) 0.80 (0.56,1.13)
≥60 182 (19%) 27 −0.48660 −0.48660 −0.60 (−1.02 ,−0.19) 0.55 (0.36,0.83)
Blood pressure
Optimal 214 (22%) 27 −0.00226 −0.00226 −0.47 (−0.95,0.02) 0.63 (0.39,1.02)
Normal 210 (22%) 42 Referent Referent Referent Referent
High normal 188 (19%) 51 0.28320 0.28320
Stage I hypertension 258 (26%) 59 0.52168 0.52168 0.18 (−0.16,0.53) 1.20 (0.85,1.70)
Stage II–IV hypertension 111 (11%) 26 0.61859 0.61859
Diabetes 151 (15%) 38 0.42839 0.42839 0.23 (−0.12,0.58) 1.26 (0.88,1.79)
Smoker
Never 302 (31%) 56 Referent Referent Referent Referent
Former 568 (58%) 125
Current 111 (11%) 24 0.52337 0.52337 0.28 (−0.15,0.71) 1.32 (0.86,2.03)
Mean survival function at t = 7.5 years, S0(t) 0.9241 0.7929# 0.8032**
C-index 0.583 0.583 0.606††
H-L statistics∥ ∥ 16.27 (0.062) 16.11 (0.065) 4.89 (0.844)

Abbreviations: FRS: Framingham risk score; CHD: coronary heart disease; coef: coefficient; CI: confidence interval; SD: standard deviation; TC: total cholesterol; HDL-C: high-density lipoprotein cholesterol.

*Some of the Framingham risk factors categories were collapsed to avoid cells with limited numbers of events and /or unpredictive trends. The proportionality assumption was tested using the Therneau and Grambsch statistics, which is based on the Schoenfeld residuals. The assumption was accepted (p = 0.33).

Based on Wilson et al. [2].

Cholesterol categories proposed by the National Cholesterol Education Program [24].

Blood pressure categories: Optimal (Systolic<120, Diastolic>80); Normal (Systolic<130, Diastolic>85); High normal (Systolic<140, Diastolic>90); Stage I (Systolic<160, Diastolic<100); Stage II–IV (Systolic ≥160, Diastolic ≥100) [24].

Estimated from the Framingham adjusted survival rate (survival rate at the mean value of the risk factors) at 10 years: S0(10) = 90015 [2], as: Ŝ0(7.5) = S0(10)0.75 = 0.9241 (exponential model).

#

Kaplan-Meier survival function at t = 7.5 years on HABC data, similar to reference [24].

**Adjusted survival rate at t = 7.5 years obtained on the HABC cohort as the baseline survival functions of the multivariate Cox model, similar to reference [9].

††

After bootstrap correction for the optimism (1000 bootstrap samples from the original dataset [20]), c-index = 0.580 (p = 0.90 for comparison with Framingham function).

∥ ∥

Adaptation to the Cox model of the Hosmer-Lemeshow test of goodness of fit [33], comparing observed and expected failures within deciles of predicted risk. Larger p values indicate better calibration [21].