%0 Journal Article
%A Craiu, R.V.
%A Duchesne, T.
%A Fortin, D.
%A Baillargeon, S.
%T Conditional logistic regression with longitudinal follow-up and individual-level random coefficients: A stable and efficient two-step estimation method
%B Journal of Computational and Graphical Statistics
%D 2011
%V 20
%P 767-784
%N 3
%X The analysis of data generated by animal habitat selection studies,
by family studies of genetic diseases, or by longitudinal follow-up
of households often involves fitting a mixed conditional logistic
regression model to longitudinal data composed of clusters of matched
case-control strata. The estimation of model parameters by maximum
likelihood is especially difficult when the number of cases per stratum
is greater than one. In this case, the denominator of each cluster
contribution to the conditional likelihood involves a complex integral
in high dimension, which leads to convergence problems in the numerical
maximization. In this article we show how these computational complexities
can be bypassed using a global two-step analysis for nonlinear mixed
effects models. The first step estimates the cluster-specific parameters
and can be achieved with standard statistical methods and software
based on maximum likelihood for independent data. The second step
uses the EM-algorithm in conjunction with conditional restricted
maximum likelihood to estimate the population parameters. We use
simulations to demonstrate that the method works well when the analysis
is based on a large number of strata per cluster, as in many ecological
studies. We apply the proposed two-step approach to evaluate habitat
selection by pairs of bison roaming freely in their natural environment.
This article has supplementary material online. © 2011 American
Statistical Association.
%2 Export Date: 17 November 2011
Source: Scopus
doi: 10.1198/jcgs.2011.09189
%( 10618600 (ISSN)
%K CREML, EM-algorithm, Habitat selection, Mixed effects, Mixed multinomial
logit, One-step estimator, REML, Two-step analysis
%# Luc
%Z timestamp=(2011.11.17)
%U http://www.scopus.com/inward/record.url?eid=2-s2.0-80053341142&partnerID=40&md5=c04ce65fca3c5b1f8770c0e22ad9a4c3
%F CraiuDuchesneFortinEtAl2011
%3 BibTeX type = ARTICLE