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Development of an iterative validation process for a 30-day hospital readmission prediction index
Sean M McConachie1, Joshua N Raub2, David Trupianio3
1Department of Pharmacy Practice, Eugene Applebaum College of Pharmacy and Health Sciences, Wayne State University, Detroit, MI, and Transitions of Care, Detroit, MI.
Purpose:
A study was conducted to determine if an iterative validation process could maintain or improve the discriminative and predictive capabilities of a 30-day hospital readmission prediction index over 2.5 years.
Methods:
Patient admissions were retrospectively identified using the electronic medical record. The receiver operating characteristic curve was used to assess model discrimination. Prediction index specificity, sensitivity, and positive and negative predictive values were also assessed. A rolling iterative validation process was developed in which patient admissions were divided into 3-month cohorts. Each cohort was analyzed individually and then included into the cumulative patient cohort and analyzed again.
Results:
From 121,277 patient visits, an iterative validation approach maintained the discrimination (0.71 to 0.72), predictive validity, and overall accuracy (80.9% to 81.7%) of the 30-day readmission prediction index over 2.5 years. Index sensitivity and negative predictive value increased from baseline while specificity and positive predictive value remained largely unchanged. None of the assessed index parameters diminished or became less useful over the course of the study.
Conclusion:
An internal iterative validation process based on frequentist statistics maintained the discriminative ability and accuracy of a readmission index over 2.5 years despite numerous changes in the variables associated with readmission in the patient population.
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However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.

