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Ann Thorac Surg 2002;74:1749
© 2002 The Society of Thoracic Surgeons
a St. Vincent Hospital,Providence Health System,9155 SW Barnes Rd, Suite 33,Portland, Oregon, 97225, USA
e-mail: ggrunkemeier{at}providence.org
To the Editor:
We thank Mr Nashef and Dr Roques for responding to our editorial and for agreeing with our conclusion. We respond to their comments in order.
We agree with their comments about risk predictability but do not believe that our criticism of a C-index of 0.80 is unfair. The C-index, the area beneath the receiver operating characteristic curve, is widely used to measure the discrimination value of an operative risk model. A receiver operating characteristic curve is derived by considering various death probabilities as potential cut-points for defining a test to identify deaths. It is a plot of the sensitivity (ability to predict deaths) of these tests versus their specificity (ability to predict survivors). A C-index of .70 to .80 is considered acceptable and .80 to .90 excellent [1].
To support our criticism, we will demonstrate the predictive value of a very good risk model. We recently applied The Society of Thoracic Surgeons operative risk model to diabetic patients who had coronary artery operations and found that it gave excellent predictability, as evidenced by a C-index of .83 (Furnary AP, Gao G, Grunkemeier GL, et al. Continuous insulin infusions reduce mortality in diabetic CABG patients. unpublished data). What does this mean for using this model to predict the death of a patient? Agambler would wager on death or survival according to whether the STS probability was greater or less than 50%, respectively. Only four deaths (of 87) would have been guessed correctly, for a sensitivity of 4.6% (Table 1). To increase the sensitivity to 95%, the probability cut-point would need to be lowered to 1.3%. But then only 30% of the surviving patients are predicted correctly. To obtain 95% specificity, we need to make the cut-point 10.8%; but then the sensitivity is only 46%. We think this makes the point that even with an excellent C-index, the ability to predict, though certainly not worthless, is still far from perfect.
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We tabulated only risk models that were specific for death after coronary artery procedures, and omitted those that included other cardiac procedures, such as heart valves. The EuroSCORE model was not included because it includes all cardiac procedures, coronary and valve. Nevertheless, we are aware of the excellent work done by the EuroSCORE project, from publications [2, 3] and from the website (www.euroscore.org), which has full information and support for patients and physicians. This is an admirable implementation and dissemination model, which should be emulated.
References
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D. M. Shahian, E. H. Blackstone, F. H. Edwards, F. L. Grover, G. L. Grunkemeier, D. C. Naftel, S. A.M. Nashef, W. C. Nugent, and E. D. Peterson Cardiac Surgery Risk Models: A Position Article Ann. Thorac. Surg., November 1, 2004; 78(5): 1868 - 1877. [Abstract] [Full Text] [PDF] |
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