afac

Calculate the ascending (or rising) factorial of a value <code>x</code> of order <code>r</code>.

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).
Includes, among other things:
- d/p/q/r functions for Four-Parameter Beta distributions and Generalized
"Binomial" (continuous) distributions, and d/p/r- functions for Beta-
Binomial distributions.
- d/p/q/r functions for Two- and Four-Parameter Beta distributions
parameterized in terms of their means and variances rather than their
shape-parameters.
- Moment generating functions for Binomial distributions, Beta-Binomial
distributions, and observed value distributions.
- Functions for estimating classification accuracy and consistency,
making use of the Classical Test-Theory based 'Livingston and Lewis' (L&L)
and 'Hanson and Brennan' approaches.
A shiny app is available, providing a GUI for the L&L 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>.

Haakon Haakstad

betafunctions

Functions for Working with Two- And Four-Parameter Beta
Probability Distributions and Psychometric Analysis of
Classifications

afac function

<dl><dt>x</dt>
<dd>A value for which the ascending factorial is to be calculated.</dd>
<dt>r</dt>
<dd>The power <code>x</code> is to be raised to.</dd>
<dt>method</dt>
<dd>The method by which the descending factorials are to be calculated. Default is <code>"product"</code> which uses direct arithmetic. Alternative is <code>"gamma"</code> which calculates the descending factorial using the Gamma function. The alternative method might be faster but might fail because the Gamma function is not defined for negative integers (returning Inf).</dd></dl>

Arguments

Ascending (rising) factorial. — afac

<dl>

<dt>x</dt>
<dd>A value for which the ascending factorial is to be calculated.</dd>


<dt>r</dt>
<dd>The power <code>x</code> is to be raised to.</dd>


<dt>method</dt>
<dd>The method by which the descending factorials are to be calculated. Default is <code>"product"</code> which uses direct arithmetic. Alternative is <code>"gamma"</code> which calculates the descending factorial using the Gamma function. The alternative method might be faster but might fail because the Gamma function is not defined for negative integers (returning Inf).</dd>

</dl>

afac: Ascending (rising) factorial.

Description

Usage

Value

Arguments

Examples