The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Model Selection for Extended Quasi-Likelihood Models in Small Samples
Abstract
We develop a small sample criterion (AICc) for the selection of extended quasi-likelihood models. In contrast to the Akaike information criterion (AIC). AICc provides a more nearly unbiased estimator for the expected Kullback-Leibler information. Consequently, it often selects better models than AIC in small samples. For the logistic regression model, Monte Carlo results show that AICc outperforms AIC, Pregibon's (1979, Data Analytic Methods for Generalized Linear Models. Ph.D. thesis. University of Toronto) Cp*, and the Cp selection criteria of Hosmer et al. (1989, Biometrics 45, 1265-1270). Two examples are presented.
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Cites
A new look at the statistical model identification
Akaike, H. (1974) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1974.1100705 · Cited by 51,879
Information Theory and an Extension of the Maximum Likelihood Principle
Akaike, H. (1998) · Springer Series in Statistics · doi:10.1007/978-1-4612-1694-0_15 · Cited by 17,781
Hapeman, D. E. (1991) · Technometrics · doi:10.1080/00401706.1991.10484817 · Cited by 9,373
Regression and time series model selection in small samples
HURVICH, C. M., & TSAI, C.-L. (1989) · Biometrika · doi:10.1093/biomet/76.2.297 · Cited by 6,586
Self-citationGeneralized Linear Models (2nd ed.).
Therneau, T. M., McCullagh, P., & Nelder, J. A. (1993) · Journal of the American Statistical Association · doi:10.2307/2290358 · Cited by 4,907
Best Subsets Logistic Regression
Hosmer, D. W., Jovanovic, B., & Lemeshow, S. (1989) · Biometrics · doi:10.2307/2531779 · Cited by 1,176
Extra-Binomial Variation in Logistic Linear Models
Williams, D. A. (1982) · Applied Statistics · doi:10.2307/2347977 · Cited by 798
How Biased is the Apparent Error Rate of a Prediction Rule?
Efron, B. (1986) · Journal of the American Statistical Association · doi:10.1080/01621459.1986.10478291 · Cited by 587
Markov Regression Models for Time Series: A Quasi-Likelihood Approach
Zeger, S. L., & Qaqish, B. (1988) · Biometrics · doi:10.2307/2531732 · Cited by 431
An extended quasi-likelihood function
NELDER, J. A., & PREGIBON, D. (1987) · Biometrika · doi:10.1093/biomet/74.2.221 · Cited by 414
Cited by
Multimodel Inference: Understanding AIC and BIC in Model Selection
Burnham, K. P., & Anderson, D. R. (2004) · Sociological Methods & Research · doi:10.1177/0049124104268644 · Cited by 11,648
AIC model selection using Akaike weights
Wagenmakers, E.-J., & Farrell, S. (2004) · Psychonomic Bulletin & Review · doi:10.3758/bf03206482 · Cited by 2,684
Model Selection: An Integral Part of Inference
Buckland, S. T., Burnham, K. P., & Augustin, N. H. (1997) · Biometrics · doi:10.2307/2533961 · Cited by 1,717
Cavanaugh, J. E., & Neath, A. A. (2019) · WIREs Computational Statistics · doi:10.1002/wics.1460 · Cited by 910
Effects of grazing on grassland soil carbon: a global review
McSherry, M. E., & Ritchie, M. E. (2013) · Global Change Biology · doi:10.1111/gcb.12144 · Cited by 829
Metadata
- Authors
- Hurvich, C. M., & Tsai, C.-L.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1995-09
- Volume
- 51
- Issue
- 3
- Pages
- 1077
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W2058201684
- Cited by
- 305
- References
- 12
- FWCI
- 2.17
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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