betafunctions package - RDocumentation

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betafunctions is free open-source software and comes with absolutely no warranty.

If any bugs or errors are identified, please contact Haakon Eidem Haakstad at h.e.haakstad at gmail.com.

Suggestions for improvements and additional functionalities are welcome and encouraged.

Experimental versions and versions under development might be found at github: https://github.com/hthaa/betafunctions.

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Version

Install

install.packages('betafunctions')

Monthly Downloads

421

Version

1.8.1

License

CC0

Maintainer

Haakon Haakstad

Last Published

December 4th, 2022

Functions in betafunctions (1.8.1)

ROC curves for the Livingston and Lewis approach.

An Extension of the Hanson and Brennan Approach to Estimate Classification Consistency and Accuracy for Multiple Classifications based on Observed Test Scores and Test Reliability.

ROC curves for the Hanson and Brennan approach.

Most Likely Mean of the Standard Beta PDD, Given that the Observation is Considered the Most Likely Observation of the Standard Beta PDD (i.e., the mode).

Most Likely True Beta Value Given Observed Outcome.

Ascending (rising) factorial.

betabinomialmoments

Compute Moments of Beta-Binomial Probability Mass Functions.

Function for estimating "Lord's k" for Lord's two-term approximation to the compound binomial distribution.

Estimate Beta True-Score Distribution Based on Observed-Score Raw-Moments and Lord's k.

Calculate Cronbach's Alpha reliability-coefficient from supplied variables.

An Implementation of the Hanson and Brennan Approach to Estimate Classification Consistency and Accuracy based on Observed Test Scores and Test Reliability.

Classification Accuracy Statistics.

An Extension of the Livingston and Lewis (1995) Approach to Estimate Classification Consistency and Accuracy for Multiple Classifications based on Observed Test Scores and Test Reliability.

Probability Mass function for Lord's Beta Compound Binomial Distribution.

Probability density function under the Gamma-extended Binomial distribution.

Compute Median of Two- and Four-Parameter Beta Probability Density distribution.

binomialmoments

Compute Moments of Binomial Probability Mass Functions.

Probability Mass under the Beta-Binomial Probability-Mass Distribution.

Compute Moments of Two-to-Four Parameter Beta Probability Density Distributions.

Density Under a Specific Point of the Standard Beta PDD with Specific Mean and Variance or Standard Deviation.

An Implementation of the Livingston and Lewis (1995) Approach to Estimate Classification Consistency and Accuracy based on Observed Test Scores and Test Reliability.

Graphical presentation of model fit for the Beta-Binomial classification accuracy and consistency model.

Gamma-extended Binomial coefficient (choose function).

Compute Mode of Two- and Four-Parameter Beta Probability Density distribution.

Random number generation under the Gamma-extended Binomial distribution.

Cumulative probability density function under the Gamma-extended Binomial distribution.

Probability of Some Specific Observation under the Standard Beta PDD with Specific Mean and Variance.

Random Number Generation under Lord's Two-Term Approximation to the Compound Binomial Distribution.

Upper Location Parameter Given Shape Parameters, Mean, Variance, and Lower Location Parameter of a Four-Parameter Beta PDD.

An implementation of the Beta-density Compound Cumulative Binomial Distribution.

Model Implied Reliability from Livingston and Lewis' "Effective Test Length".

dBeta.pGammaBinom

An implementation of a Beta-density Compound Cumulative Gamma-Binomial Distribution.

Proportional True-Score Distribution Raw Moments for the Hanson-Brennan Approach to Classification Accuracy and Consistency.

Probability Mass function for Lord's Two-Term Approximation to the Compound Binomial Distribution.

Confusion matrix

Classification Consistency Statistics.

Descending (falling) factorial.

Calculate McDonald's Omega reliability-coefficient from supplied variables.

Cumulative Probability Function under the Four-Parameter Beta Probability Density Distribution.

observedmoments

Compute Moments of Observed Value Distribution.

Cumulative Probability Function under the Beta-Binomial Probability Distribution.

Lower Location Parameter Given Shape Parameters, Mean, Variance, and Upper Location Parameter of a Four-Parameter Beta PDD.

Random Draw from the Standard Beta PDD With Specific Mean and Variance.

Random Number Generation under Lord's Beta Compound-Binomial Distribution.

Random Number Generation under the Four-Parameter Beta Probability Density Distribution.

Quantile Containing Specific Proportion of the Distribution, Given a Specific Probability of the Standard Beta PDD with Specific Mean and Variance or Standard Deviation.

Proportional true-score distribution raw moments from Livingston and Lewis' effective test-score and effective test-length.

Quantile function for the Gamma-extended Binomial distribution.

Random Number Generation under the Beta-Binomial Probability Mass Distribution.

Tabular organization of accuracy and consistency output from the LL.CA.MC() function.

An implementation of a Beta-density Compound Cumulative-Beta Distribution.

Probability Density under the Four-Parameter Beta PDD.

Most Likely True Alpha Value Given Observed Outcome.

Cumulative Probability Mass function for Lord's Two-Term Approximation to the Compound Binomial Distribution.

Quantile Given Probability Under the Four-Parameter Beta Distribution.

Method of Moment Estimates of Shape-Parameters of the Two-Parameter (Standard) Beta Distribution.

Method of Moment Estimates of Shape- and Location Parameters of the Four-Parameter Beta Distribution.

Beta.gfx.poly.cdf

Coordinate Generation for Marking an Area Under the Curve for the Beta Cumulative Probability Density Distribution.

Area Under the ROC Curve.

Beta.gfx.poly.pdf

Coordinate Generation for Marking an Area Under the Curve for the Beta Probability Density Distribution.

Beta.gfx.poly.qdf

Coordinate Generation for Marking an Area Under the Curve for the Beta Quantile Density Distribution.

Beta Shape-Parameter Given Location-Parameters, Mean, Variance, Skewness, Kurtosis and Alpha Shape-Parameter of a Four-Parameter Beta PDD.

Estimate Beta true-score distribution based on observed-score raw-moments and the effective test length.

Livingston and Lewis' "Effective Test Length".

Alpha Shape-Parameter Given Location-Parameters, Mean, Variance, Skewness, Kurtosis and Beta Shape-Parameter of a Four-Parameter Beta PDD.