Combining binomial data using the logistic normal model

Research output: Contribution to journalArticle

9 Scopus citations


Combining binomial data from multiple sources has often been done using normal linear mixed effect models. In this paper we propose to combine binomial data using a two-stage logistic normal model. This model formulation will allow coherent interpretation of parameter estimates and homogeneity tests. We discuss parameter estimation for the proposed model using the approximate maximum likelihood method with Gauss quadrature points and the penalized quasi-likelihood approach. We also describe several tests for the homogeneity of studies to be combined. Simulation results demonstrate that the penalized quasi-likelihood approach is preferred because it provide better parameter estimates and coverage probabilities.

Original languageEnglish (US)
Pages (from-to)293-306
Number of pages14
JournalJournal of Statistical Computation and Simulation
Issue number4
StatePublished - Apr 1 2004


  • Homogeneity test
  • Penalized quasi-likelihood
  • Variance components

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Modeling and Simulation

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