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Bias Correction in Generalized Linear Mixed Models with Multiple Components of Dispersion
Abstract
General formulas are derived for the asymptotic bias in regression coefficients and variance components estimated by penalized quasi-likelihood (PQL) in generalized linear mixed models with canonical link function and multiple sets of independent random effects. Easily computed correction matrices result in variance component estimates that have satisfactory asymptotic behavior for small values of the variance components and significantly reduce bias for larger values. Both first-order and second-order correction procedures are developed for regression coefficients estimated by PQL. The methods are illustrated through an analysis of an experiment on salamander matings involving crossed male and female random effects, and their properties are evaluated in a simulation study.
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Citations
Cites
Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
Harville, D. A. (1977) · Journal of the American Statistical Association · doi:10.1080/01621459.1977.10480998 · Cited by 2,667
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McCulloch, C. E. (2001) · Encyclopedia of Environmetrics · doi:10.1002/9780470057339.vag009 · Cited by 295
A Powerful and Flexible Multilocus Association Test for Quantitative Traits
Kwee, L. C., Liu, D., Lin, X., Ghosh, D., & Epstein, M. P. (2008) · The American Journal of Human Genetics · doi:10.1016/j.ajhg.2007.10.010 · Cited by 227
Self-citationConsistent Estimators in Generalized Linear Mixed Models
Jiang, J. (1998) · Journal of the American Statistical Association · doi:10.1080/01621459.1998.10473724 · Cited by 149
Standard Errors of Prediction in Generalized Linear Mixed Models
Booth, J. G., & Hobert, J. P. (1998) · Journal of the American Statistical Association · doi:10.1080/01621459.1998.10474107 · Cited by 133
Metadata
- Authors
- Lin, X., & Breslow, N. E.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1996-09
- Volume
- 91
- Issue
- 435
- Pages
- 1007-1016
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W1997921097
- Cited by
- 407
- References
- 1
- FWCI
- 10.29
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lin, X., & Breslow, N. E. (1996). Bias Correction in Generalized Linear Mixed Models with Multiple Components of Dispersion. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1996.10476971
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