predicting recurrent c.diff infection with emr data 1201
figure 2. Model Calibration Using the Validation Dataset. For both plots, the X axis shows predicted rates of recurrent CDI in 5% increments, while the Y axis shows the actual observed rates (with associated 95% confidence intervals) in the validation dataset for all observations with that predicted level of risk. The dotted line shows what would be found were calibration to be perfect. For both the Zilberberg and Enhanced models, calibration is poor: calibration fails at levels above 10% predicted risk. Observed rates do not approach predicted rates, meaning that both models over-predict recurrent CDI. Additional calibration figures, including Hosmer-Lemeshow plots, are provided in the Appendix.
highly granular EMR data (eg, vital signs, laboratory tests, composite severity of illness scores, and longitudinal comor- bidity), the models and underlying data had poor ability to predict rCDI. We formally tested a common assumption made by many investigators (ie, that deaths can simply be excluded from the numerator). We found that this approach is justified, and that including patients who die prior to the conclusion of the follow-up period did not improve prediction. Lastly, we found that shortening the length of follow-up to 30 days resulted in worse model performance. Some authors have reported better model performance.
Examination of these other studies paints a less optimistic picture. Hu et al10 report the use of machine-learning appro- aches and a c statistic of 0.80 in their validation dataset. How- ever, this study had a very small sample size (N=110, with N =64 in the validation dataset) and did not employ cross- validation (ie, no formal assessment of the possibility thatmodel performance in a different population might be poor). We were able to achieve c statistics that were this high in our derivation dataset, but these apparently successful models demonstrated considerable instability during cross-validation. We did not pursue them further and chose more parsimonious models. Contrary to previous literature reports, some predictors (eg,
specific antibiotic exposures) were of limited value, particu- larly in models that included severity of illness. This probably reflects the fact that severity of illness is highly correlated (and may, in fact, be the underlying risk factor) with other pre- dictors (eg, intensive care and antibiotics known to predispose
for CDI). We deliberately focused on predicting rCDI in iCDI cases, though previous CDI is a well-known risk factor for recurrence. It is possible that, had we included prior CDI as a predictor, we might have achieved better model performance. However, models that included the COPS2 score (a long- itudinal comorbidity measure that captures information from the preceding 12 months) did not perform much better. Multiple investigators, using a variety of statistical approa-
ches, including machine-learning methods, have been unable to produce static models with better performance using the currently available set of predictors. While it is true that many predictors reach statistical significance in bivariate analyses (particularly when the sample size is large), the clinical sig- nificance may be muted because the relative proportions of patients with and without recurrence are not that different. Further, it is clear that the risk factors (age, antibiotic expo- sure, severity of illness) that place an individual at risk for iCDI are also risk factors for rCDI. Thus, future efforts ought to be placed on identifying better predictors rather than on using different statistical approaches with the currently available predictors. New predictors may include newer biomarkers (eg, indicators of underlying predisposition to recurrence), environ- mental factors (eg, proximity to other CDI patients, presence of C. difficile spores4), behavioral aspects (eg, handwashing), and/ormolecular markers (eg, information on specific C. difficile strains). It is also important to consider rCDI in an ecological context, and future predictive models may need to be explicit about including environmental and ecological predictors
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