Package: glmmFEL
Type: Package
Title: Generalized Linear Mixed Models via Fully Exponential Laplace in
        EM
Version: 1.0.6
Date: 2026-09-18
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
        variance-diagonal 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, stats, methods
Suggests: testthat (>= 3.0.0), lme4, numDeriv
Config/testthat/edition: 3
NeedsCompilation: no
Config/roxygen2/version: 8.1.0
Packaged: 2026-10-18 11:17:55 UTC; root
Author: Andrew T. Karl [cre, aut] (ORCID:
        <https://orcid.org/0000-0002-5933-8706>)
Maintainer: Andrew T. Karl <akarl@asu.edu>
Repository: https://akarl46556.r-universe.dev
Date/Publication: 2026-09-18 17:20:02 UTC
RemoteUrl: https://github.com/cran/glmmFEL
RemoteRef: HEAD
RemoteSha: b829128caedd1c647bf543cfdcab93bec540fe45