The DOI matches its Crossref record.
How Many Variables Should Be Entered in a Regression Equation?
Abstract
The optimal number of regressors is determined to minimize mean squared prediction error and is shown to be a small fraction of the number of data points. As the number of regressors grows large, the Sp criterion provides an asymptotically optimal rule for the number of variables to enter.
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Citations
Cited by
Mallows, C. L. (1995) · Technometrics · doi:10.1080/00401706.1995.10484370 · Cited by 2,083
Bandwidth Choice for Nonparametric Regression
Rice, J. (1984) · The Annals of Statistics · doi:10.1214/aos/1176346788 · Cited by 684
Predictive value of statistical models.
Van Houwelingen, J. C., & Le Cessie, S. (1990) · Statistics in Medicine · doi:10.1002/sim.4780091109 · Cited by 621
Adapting to unknown sparsity by controlling the false discovery rate
Abramovich, F., Benjamini, Y., Donoho, D. L., & Johnstone, I. M. (2006) · The Annals of Statistics · doi:10.1214/009053606000000074 · Cited by 455
Flexible Parsimonious Smoothing and Additive Modeling
Friedman, J. H., & Silverman, B. W. (1989) · Technometrics · doi:10.1080/00401706.1989.10488470 · Cited by 443
Metadata
- Authors
- Breiman, L., & Freedman, D.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1983-03
- Volume
- 78
- Issue
- 381
- Pages
- 131-136
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2003202757
- Cited by
- 164
- References
- 0
- FWCI
- 5.35
- Type
- journal article
- Language
- en
- Open access
- closed
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- Breiman, L., & Freedman, D. (1983). How Many Variables Should Be Entered in a Regression Equation? Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1983.10477941
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
