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Binary regression: Total gain in positive and negative predictive values
Authors:Jens Klotsche  Dietmar Ferger  David Leistner  Lars Pieper  Andreas M Zeiher  Hans‐Ulrich Wittchen  Juergen Rehm
Institution:1. Institute of Clinical Psychology and Psychotherapy, Technische Universitaet Dresden, , 01187 Dresden, Germany;2. Center of Clinical Epidemiology and Longitudinal Studies (CELOS), Technische Universitaet Dresden, , 01187 Dresden, Germany;3. Department of Mathematics, Technische Universitaet Dresden, , 01069 Dresden, Germany;4. Department of Medicine III, Cardiology, Goethe‐University Frankfurt, , 60596 Frankfurt, Germany;5. Public Health and Regulatory Policy Section, Centre for Addiction and Mental Health, , Toronto, Ontario M5S 2S1 Canada
Abstract:Models that predict disease incidence or disease recurrence are attractive for clinicians as well as for patients. The usefulness of a risk prediction model is linked to the two questions whether the observed outcome is confirmed by the prediction and whether the risk prediction is accurate in predicting the future outcome, respectively. The first phrasing of the question is linked to considering sensitivity and specificity and the latter to the positive and negative predictive values. We present the measures of standardized total gain in positive and negative predictive values dealing with the performance or accuracy of the prediction model for a binary outcome. Both measures provide a useful tool for assessing the performance or accuracy of a set of predictor variables for the prediction of a binary outcome. This concept is a tool for evaluating the optimal prediction model in future research.
Keywords:Binary regression  Negative predictive value  Positive predictive value  Total gain
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