Package: glmmFEL
Type: Package
Title: Generalized Linear Mixed Models via Fully Exponential Laplace in
        EM
Version: 1.0.5
Date: 2026-01-07
Authors@R: 
    person(given = "Andrew T.",
           family = "Karl",
           email = "akarl@asu.edu",
           role = c("cre", "aut"),
           comment = c(ORCID = "0000-0002-5933-8706"))
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 -> FEL mean-only -> 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)
    <doi:10.1080/00949659308811554>, and is adapted from the implementation
    used in the 'RealVAMS' package (Broatch, Green, and Karl (2018))
    <doi:10.32614/RJ-2018-033>. The FEL implementation follows Karl, Yang,
    and Lohr (2014) <doi:10.1016/j.csda.2013.11.019> and related work (e.g.,
    Tierney, Kass, and Kadane (1989) <doi:10.1080/01621459.1989.10478824>;
    Rizopoulos, Verbeke, and Lesaffre (2009)
    <doi:10.1111/j.1467-9868.2008.00704.x>; Steele (1996)
    <doi:10.2307/2532845>). Package code was drafted with assistance from
    generative AI tools.
License: GPL-3
Encoding: UTF-8
Imports: Matrix, numDeriv, stats, methods
Suggests: testthat (>= 3.0.0), MASS, knitr, rmarkdown, nlme,
        mvglmmRank, lme4
Config/testthat/edition: 3
RoxygenNote: 7.3.3
NeedsCompilation: no
Packaged: 2026-01-07 15:28:41 UTC; andre
Author: Andrew T. Karl [cre, aut] (ORCID:
    <https://orcid.org/0000-0002-5933-8706>)
Maintainer: Andrew T. Karl <akarl@asu.edu>
Repository: CRAN
Date/Publication: 2026-01-09 14:50:02 UTC
Built: R 4.6.0; ; 2026-04-25 14:00:59 UTC; unix
