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The Stata Journal
Volume 3 Number 1: pp. 32-46

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Intra–class correlation in random–effects models for binary data

Germán Rodríguez
Princeton University
Irma Elo
The University of Pennsylvania
Abstract.   We review the concept of intra-class correlation in random-effects models for binary outcomes as estimated by Stata’s xtprobit, xtlogit, and xtclog. We consider the usual measures of correlation based on a latent variable formulation of these models and note corrections to the last two procedures. We also discuss alternative measures of association based on manifest variables or actual outcomes and introduce a new command xtrho for computing these measures for all three types of models.
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View all articles with these keywords: intra-class correlation, random-effects, probit, logit, complementary log-log, Pearson's r, Yule's Q

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