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. 2010 Jan 28;171(5):540–549. doi: 10.1093/aje/kwp428

Table 3.

Discrimination, Model Fit, and Calibration Estimates for Total Coronary Heart Disease Events (n = 235 Events) in Older Adults During a Median Follow-up Period of 8.2 Years (Maximum, 10.2 Years), According to Traditional Cardiovascular Disease Risk Factors, With or Without the Addition of Markers of Inflammation or of Atherosclerosis (n = 1,515), Health, Aging, and Body Composition Study, 1997–2007a

Model Discrimination
Model Fit
Calibration: Modified Hosmer-Lemeshow Testb
C Indexc Adjusted C Indexd Likelihood Ratio Teste
Measures Penalized for Model Complexity
χ2 (df) P Value Akaike's Information Criterionf Bayes Information Criteriong χ2 P Value
Traditional cardiovascular disease risk factors 0.631 0.611 35.31 (8) <0.001 3,102.6 3,145.2 4.23 0.90
    Plus IL-6 0.650 0.629 58.71 (11) <0.001 3,085.3 3,143.8 8.19 0.52
    Plus C-reactive protein 0.638 0.622 41.87 (11) <0.001 3,104.8 3,163.3 13.86 0.13
    Plus tumor necrosis factor-α 0.647 0.621 43.49 (11) <0.001 3,089.5 3,148.0 14.26 0.11
    Plus AAI 0.650 0.624 45.80 (12) <0.001 3,100.2 3,164.1 15.01 0.09
    Plus aortic pulse wave velocity 0.629 0.605 41.42 (11) <0.001 3,102.6 3,161.1 3.76 0.93
    Plus IL-6 + AAI 0.662 0.634 68.58 (15) <0.001 3,083.5 3,163.3 13.01 0.16

Abbreviations: AAI, ankle-arm index; IL-6, interleukin-6.

a

All estimates reported are from multivariate analyses, adjusted for traditional cardiovascular disease risk factors, with or without addition of each marker in quartiles or clinically defined categories (for AAI) (see Methods section in text), among 1,515 participants with complete data on all markers (mainly because of 422 missing values for aortic pulse wave velocity).

b

Parzen and Lipsitz's adaptation (25), based on martingale residuals, of the Hosmer-Lemeshow test of goodness of fit in the logistic model to the Cox model, comparing observed and expected failures within deciles of predicted risk. Larger P values indicate better calibration (24).

c

Harrell’s C Index, an adaptation of the C statistic (equivalently, the area under the receiver operating characteristic curve) in logistic models. Higher values indicate better discrimination.

d

Harrell's C index, corrected for optimism using bootstrap resampling (24).

e

Omnibus test of the overall statistical significance of all predictors in the model. A higher value indicates better fit.

f

Akaike's Information Criterion (10) is a likelihood-based measure in which a simple measure of goodness of fit (−2 times the log-likelihood) is penalized for the number of predictors in the model. A lower value indicates better prediction.

g

The Bayes Information Criterion (24) is similar to Akaike's Information Criterion. This measure of predictiveness imposes a more severe penalty for the number of predictors. A lower value indicates better prediction.