Predictive value of statistical models.
Abstract
A review is given of different ways of estimating the error rate of a prediction rule based on a statistical model. A distinction is drawn between apparent, optimum and actual error rates. Moreover it is shown how cross-validation can be used to obtain an adjusted predictor with smaller error rate. A detailed discussion is given for ordinary least squares, logistic regression and Cox regression in survival analysis. Finally, the splitsample approach is discussed and demonstrated on two data sets.
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Overfitting is even more likely when the number of candidate predictors is large relative to the effective sample size.
“Overfitting is even more likely when the number of candidate predictors is large relative to the effective sample size [10],[12],[70].”
From Reporting and Methods in Clinical Prediction Research: A Systematic Review (2012) · cites this paper as [70]
Apparent model performance is generally too optimistic, as the model has been tailored to the dataset at hand.
“This apparent model performance, however, is generally too optimistic, as the model has been tailored to the dataset at hand.”
From Reporting and Methods in Clinical Prediction Research: A Systematic Review (2012) · cites this paper as [70]
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- Authors
- Van Houwelingen, J. C., & Le Cessie, S.
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 1990-11
- Volume
- 9
- Issue
- 11
- Pages
- 1303-1325
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W650692540
- Cited by
- 621
- References
- 35
- Citations by year
- 2026: 15 · 2025: 13 · 2024: 27 · 2023: 26 · 2022: 17 · 2021: 29 · 2020: 29 · 2019: 16 · 2018: 23 · 2017: 14 · 2016: 16 · 2015: 21 · 2014: 33 · 2013: 22 · 2012: 29
- FWCI
- 4.68
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Statistics in Medicine (publishedVersion)
- PubMed (publishedVersion)
- Quality Engineering
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- prediction error estimation, statistical models, cross-validation, ordinary least squares, logistic regression, Cox proportional hazards model, survival analysis
- MeSH terms
- Calibration, Female, Graft Survival, Humans, Ovarian Neoplasms, Prognosis, Regression Analysis, Models, Statistical, Least-Squares Analysis, Survival Analysis, Kidney Transplantation
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