betafunctions: Functions for Working with Two- And Four-Parameter Beta
Probability Distributions
Package providing a number of functions for working with Two- and
Four-parameter Beta and closely related distributions (i.e., the Gamma-
Binomial-, and Beta-Binomial distributions), including parameterization in
terms of moments, and fitting of Beta distributions to vectors of values.
Includes d/p/r- and a function and for calculating moments of Beta-Binomial
distributions. Also includes functions for estimating classification
accuracy, diagnostic performance, and consistency, making use of what is
generally known as the 'Livingston and Lewis approach' in the psychometric
literature which models observed-score distributions in terms of the Beta-
Binomial distribution. A shiny app is available, providing a GUI for the
Livingston and Lewis approach when used for binary classifications. For
url to the app, see documentation for the LL.CA() function.
Livingston and Lewis (1995) <doi:10.1111/j.1745-3984.1995.tb00462.x>.
Lord (1965) <doi:10.1007/BF02289490>.
Hanson (1991) <https://files.eric.ed.gov/fulltext/ED344945.pdf>.
Tharwat (2020) <doi:10.1016/j.aci.2018.08.003>.
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