<?xml version="1.0" encoding="UTF-8"?>
<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:title>Generalized Linear Mixed Models via Fully Exponential Laplace in
EM</dc:title>
  <dc:title>R package glmmFEL version 1.0.5</dc:title>
  <dc:description>Fit generalized linear mixed models (GLMMs) with normal random
    effects using first-order Laplace, fully exponential Laplace (FEL) with
    mean-only corrections, and FEL with mean and covariance corrections in
    the E-step of an expectation-maximization (EM) algorithm. The current
    development version provides a matrix-based interface (y, X, Z) and
    supports binary logit and probit, and Poisson log-link models. An EM
    framework is used to update fixed effects, random effects, and a single
    variance component tau^2 for G = tau^2 I, with staged approximations
    (Laplace -&gt; FEL mean-only -&gt; FEL full) for efficiency and stability. A
    pseudo-likelihood engine glmmFEL_pl() implements the working-response /
    working-weights linearization approach of Wolfinger and O'Connell (1993)
    &lt;doi:10.1080/00949659308811554&gt;, and is adapted from the implementation
    used in the 'RealVAMS' package (Broatch, Green, and Karl (2018))
    &lt;doi:10.32614/RJ-2018-033&gt;. The FEL implementation follows Karl, Yang,
    and Lohr (2014) &lt;doi:10.1016/j.csda.2013.11.019&gt; and related work (e.g.,
    Tierney, Kass, and Kadane (1989) &lt;doi:10.1080/01621459.1989.10478824&gt;;
    Rizopoulos, Verbeke, and Lesaffre (2009)
    &lt;doi:10.1111/j.1467-9868.2008.00704.x&gt;; Steele (1996)
    &lt;doi:10.2307/2532845&gt;). Package code was drafted with assistance from
    generative AI tools.</dc:description>
  <dc:type>Software</dc:type>
  <dc:relation>Imports: Matrix, numDeriv, stats, methods</dc:relation>
  <dc:relation>Suggests: testthat (&gt;= 3.0.0), MASS, knitr, rmarkdown, nlme,
mvglmmRank, lme4</dc:relation>
  <dc:creator>Andrew T. Karl &lt;akarl@asu.edu&gt;</dc:creator>
  <dc:publisher>Comprehensive R Archive Network (CRAN)</dc:publisher>
  <dc:contributor>Andrew T. Karl [cre, aut] (ORCID:
    &lt;https://orcid.org/0000-0002-5933-8706&gt;)</dc:contributor>
  <dc:rights>GPL-3</dc:rights>
  <dc:date>2026-01-09</dc:date>
  <dc:format>application/tgz</dc:format>
  <dc:identifier>https://CRAN.R-project.org/package=glmmFEL</dc:identifier>
  <dc:identifier>doi:10.32614/CRAN.package.glmmFEL</dc:identifier>
</oai_dc:dc>
