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. 2017 Dec 14;7:17552. doi: 10.1038/s41598-017-17784-2

Table 3.

Estimated probabilities of CHD mortality risk in deciles of estimated risk from six different models in Northern and Southern Europe. (1 calibration, 5 re-calibration).

Model Details Estimated risk probabilities
NE SE
Calibrated SELF Mean observed 0.2519 0.0801
Mean expected 0.2555 0.0829
Decile 1 0.0939 0.0198
Decile 10 0.5532 0.2452
Ratio decile10/decile1 5.89 12.39
p of chi squared of GNDD test 0.7296 0.5942
Re-calibrated SCM Mean expected 0.1148 0.1908
Decile 1 0.0311 0.0652
Decile 10 0.3107 0.4420
Ratio decile10/decile1 10.0 6.78
p of chi squared of GNDD test <0.0001 <0.0001
Re-calibrated CM Mean expected 0.3516 0.0547
Decile 1 0.1161 0.0171
Decile 10 0.3516 0.1419
Ratio decile10/decile1 6.40 8.32
p of chi squared of GNDD test <0.0001 <0.0001
Re-calibrated C Mean expected 0.2624 0.0768
Decile 1 0.0802 0.0243
Decile 10 0.6070 0.1957
Ratio decile10/decile1 7.60 8.06
p of chi squared of GNDD test 0.2820 0.3776
Re-calibrated WC Mean expected 0.2763 0.0938
Decile 1 0.0628 0.0150
Decile 10 0.7129 0.3295
Ratio decile10/decile1 11.34 21.94
p of chi squared of GNDD test <0.0001 0.0178
Re-calibrated ALTS Mean expected 0.2141 0.0950
Decile 1 0.0765 0.0229
Decile 10 0.4803 0.2774
Ratio decile10/decile1 4.32 12.09
p of chi squared of GNDD test 0.0265 0.0072

NE = Northern Europe; SE = Southern Europe;

SELF = original model, respectively NE or SE; SCM = substituting S(0), coefficients and means of risk factors; CM = model substituting coefficients and means of risk factors; C = model substituting coefficients only; WC = model substituting coefficients with the widest coefficients that had the corresponding HR (95% CI): age 1.50 (1.28 1.77); BMI 1.21 (1.05 1.41); systolic blood pressure 1.55 (1.32 1.82); heart rate 1.05 (0.81 1.36); cholesterol 1.28 (1.18 1.39); ex-smokers 1.31 (0.75 2.26); smoker 2.18 (1.45 3.28); finally ALTS = substituting S(0) with altered S(0): for NE 0.9098 instead of 0.7698; for SE: 0.9254 instead of 0.9354.

GNDD = Greenwood-Nam-D’Agostino-Demler goodness of fit test for re-calibrated survival models: by this test significant difference (outlined here in bold) means that re-calibration is not good enough24.