da Silva-Junior, A.H.M. and Einbeck, J. and Craig, P.S. (2016) 'Gradient test for generalised linear models with random effects.', in Proceedings of the 31st International Workshop on Statistical Modelling. July 4-8, 2016, Rennes, France. , pp. 213-218.
Abstract
This work develops the gradient test for parameter selection in generalised linear models with random effects. Asymptotically, the test statistic has a chi-squared distribution and the statistic has a compelling feature: it does not require computation of the Fisher information matrix. Performance of the test is verified through Monte Carlo simulations of size and power, and also compared to the likelihood ratio, Wald and Rao tests. The gradient test provides the best results overall when compared to the traditional tests, especially for smaller sample sizes.
| Item Type: | Book chapter |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (242Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | UNSPECIFIED |
| Date accepted: | 25 March 2016 |
| Date deposited: | 29 July 2016 |
| Date of first online publication: | July 2016 |
| Date first made open access: | No date available |
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