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underdisp: Diagnostics and Models for Underdispersed Count Data

Tools for detecting and modeling underdispersion in count data (conditional variance below the conditional mean), a phenomenon overlooked by the Poisson and negative binomial defaults. Provides a screening diagnostic that benchmarks at-risk dispersion against a zero-truncated Poisson; the continuous parameter binomial (CPB) regression and its zero-truncated variant, with an interpretable observation-specific bound and high-dimensional fixed-effects support; validated bootstrap (for coefficients) and profile-likelihood (for the dispersion parameter) inference; and quantities of interest including predicted probabilities and the implied ceiling. The likelihood is implemented in C++ for speed.

Version: 0.1.0
Depends: R (≥ 4.0)
Imports: Rcpp, stats, MASS, VGAM, graphics, methods, numDeriv
LinkingTo: Rcpp
Suggests: sandwich, pscl, DHARMa, testthat (≥ 3.0.0), knitr, rmarkdown, broom, modelsummary, texreg
Published: 2026-08-20
DOI: 10.32614/CRAN.package.underdisp
Author: Benjamin E. Bagozzi [aut, cre]
Maintainer: Benjamin E. Bagozzi <bagozzib at udel.edu>
BugReports: https://github.com/bagozzib/underdisp/issues
License: GPL-3
URL: https://github.com/bagozzib/underdisp
NeedsCompilation: yes
Materials: README, NEWS
CRAN checks: underdisp results

Documentation:

Reference manual: underdisp.html , underdisp.pdf
Vignettes: Detecting and Modeling Underdispersed Counts (source, R code)

Downloads:

Package source: underdisp_0.1.0.tar.gz
Windows binaries: r-devel: underdisp_0.1.0.zip, r-release: underdisp_0.1.0.zip, r-oldrel: underdisp_0.1.0.zip
macOS binaries: r-release (arm64): underdisp_0.1.0.tgz, r-oldrel (arm64): underdisp_0.1.0.tgz, r-release (x86_64): underdisp_0.1.0.tgz, r-oldrel (x86_64): underdisp_0.1.0.tgz

Linking:

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These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.