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betafunctions: Two- And Four-Parameter Beta Distributions and Classification Accuracy and Consistency

Functions for working with two- and four-parameter Beta distributions and the closely related Beta-Binomial distribution, and for estimating the accuracy and consistency of test-based classifications. Includes d/p/q/r functions for four-parameter Beta distributions, including parameterization by mean and variance; d/p/r functions for Beta-Binomial distributions and for Lord's two-term approximation to the compound Binomial distribution; moments of Beta, Binomial, Beta-Binomial, and observed-score distributions; and method-of-moments fitting of two- and four-parameter Beta true-score distributions. Classification accuracy and consistency can be estimated with the 'Livingston and Lewis' approach (Livingston and Lewis, 1995 <doi:10.1111/j.1745-3984.1995.tb00462.x>), the 'Hanson and Brennan' approach based on Lord's strong true-score theory (Lord, 1965 <doi:10.1007/BF02289490>; Hanson, 1991 <https://files.eric.ed.gov/fulltext/ED344945.pdf>), and the multinomial and compound multinomial approach (Lee, 2007 <doi:10.1177/0146621606294206>; Lee, Brennan, and Wan, 2009 <doi:10.1177/0146621608321759>), for two or more categories, with ROC analysis, model-fit tests, and examinee- or score-level results.

Version: 2.0.0
Imports: graphics, stats
Suggests: testthat (≥ 3.0.0)
Published: 2026-10-19
DOI: 10.32614/CRAN.package.betafunctions
Author: Haakon Eidem Haakstad [aut, cre]
Maintainer: Haakon Eidem Haakstad <h.e.haakstad at gmail.com>
BugReports: https://github.com/HaakonEidemHaakstad/betafunctions/issues
License: CC0
URL: https://github.com/HaakonEidemHaakstad/betafunctions
NeedsCompilation: no
Materials: README, NEWS
In views: Distributions, Psychometrics
CRAN checks: betafunctions results

Documentation:

Reference manual: betafunctions.html , betafunctions.pdf

Downloads:

Package source: betafunctions_2.0.0.tar.gz
Windows binaries: r-devel: betafunctions_2.0.0.zip, r-release: betafunctions_2.0.0.zip, r-oldrel: betafunctions_2.0.0.zip
macOS binaries: r-release (arm64): betafunctions_2.0.0.tgz, r-oldrel (arm64): betafunctions_2.0.0.tgz, r-release (x86_64): betafunctions_2.0.0.tgz, r-oldrel (x86_64): betafunctions_2.0.0.tgz
Old sources: betafunctions archive

Reverse dependencies:

Reverse imports: IRTest

Linking:

Please use the canonical form https://CRAN.R-project.org/package=betafunctions to link to this page.

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.