Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Fisher information under Gaussian quadrature models.

Marques da Silva Júnior, Antonio Hermes and Einbeck, Jochen and Craig, Peter S. (2017) 'Fisher information under Gaussian quadrature models.', Statistica Neerlandica. .

Abstract

This paper develops formulae to compute the Fisher information matrix for the regression parameters of generalized linear models with Gaussian random effects. The Fisher information matrix relies on the estimation of the response variance under the model assumptions. We propose two approaches to estimate the response variance: the first is based on an analytic formula (or a Taylor expansion for cases where we cannot obtain the closed form), and the second is an empirical approximation using the model estimates via the expectation–maximization process. Further, simulations under several response distributions and a real data application involving a factorial experiment are presented and discussed. In terms of standard errors and coverage probabilities for model parameters, the proposed methods turn out to behave more reliably than does the ‘disparity rule’ or direct extraction of results from the generalized linear model fitted in the last expectation–maximization iteration.

Item Type:Article
Full text:Publisher-imposed embargo until 10 September 2018.
(AM) Accepted Manuscript
First Live Deposit - 12 September 2017
File format - PDF
(288Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1111/stan.12116
Publisher statement:This is the accepted version of the following article: Marques da Silva Júnior, Antonio Hermes, Einbeck, Jochen & Craig, Peter S. (2017). Fisher information under Gaussian quadrature models. Statistica Neerlandica, which has been published in final form at https://doi.org/10.1111/stan.12116. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.
Record Created:12 Sep 2017 13:13
Last Modified:12 Sep 2017 15:24

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Look up in GoogleScholar | Find in a UK Library