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 |
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C Indexc | Adjusted C Indexd | Likelihood Ratio Teste |
Measures Penalized for Model Complexity |
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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.
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).
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).
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.
Harrell's C index, corrected for optimism using bootstrap resampling (24).
Omnibus test of the overall statistical significance of all predictors in the model. A higher value indicates better fit.
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.
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.