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

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

## Documentation for package ‘betafunctions’ version 1.9.0

- DESCRIPTION file
- Package NEWS
- Package README

## Help Pages

afac | Ascending (rising) factorial.
AMS | Alpha Shape-Parameter Given Location-Parameters, Mean, and Variance a Four-Parameter Beta Probability Density Distribution.
AUC | Area Under the ROC Curve.
Beta.2p.fit | Method of Moment Estimates of Shape-Parameters of the Two-Parameter (Standard) Beta Distribution.
Beta.4p.fit | 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.
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.tp.fit | Estimate Beta true-score distribution based on observed-score raw-moments and the effective test length.
betabinomialmoments | Compute Moments of Beta-Binomial Probability Mass Functions.
betamedian | Compute Median of Two- and Four-Parameter Beta Probability Density distribution.
betamode | Compute Mode of Two- and Four-Parameter Beta Probability Density distribution.
betamoments | Compute Moments of Two-to-Four Parameter Beta Probability Density Distributions.
binomialmoments | Compute Moments of Binomial Probability Mass Functions.
BMS | Beta Shape-Parameter Given Location-Parameters, Mean, and Variance of a Four-Parameter Beta Probability Density Distribution.
caStats | Classification Accuracy Statistics.
cba | Calculate Cronbach's Alpha reliability-coefficient from supplied variables.
ccStats | Classification Consistency Statistics.
confmat | Confusion matrix
dBeta.4P | Probability Density under the Four-Parameter Beta Probability Density Distribution.
dBeta.pBeta | An implementation of a Beta-density Compound Cumulative-Beta Distribution.
dBeta.pBinom | An implementation of the Beta-density Compound Cumulative Binomial Distribution.
dBeta.pGammaBinom | An implementation of a Beta-density Compound Cumulative Gamma-Binomial Distribution.
dBetaBinom | Probability Mass under the Beta-Binomial Probability-Mass Distribution.
dBetacBinom | Probability Mass function for Lord's Beta Compound Binomial Distribution.
dBetaMS | Density Under a Specific Point of the Beta Probability Density Distribution with Specific Location Parameters, Mean, and Variance.
dcBinom | Probability Mass function for Lord's Two-Term Approximation to the Compound Binomial Distribution.
dfac | Descending (falling) factorial.
dGammaBinom | Probability density function under the Gamma-extended Binomial distribution.
ETL | Livingston and Lewis' "Effective Test Length".
gchoose | Gamma-extended Binomial coefficient (choose function).
HB.beta.tp.fit | Estimate Beta True-Score Distribution Based on Observed-Score Raw-Moments and Lord's k.
HB.CA | An Implementation of the Hanson and Brennan Approach to Estimate Classification Consistency and Accuracy based on Observed Test Scores and Test Reliability.
HB.CA.MC | 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.
HB.ROC | ROC curves for the Hanson and Brennan approach.
HB.tsm | Proportional True-Score Distribution Raw Moments for the Hanson-Brennan Approach to Classification Accuracy and Consistency.
LABMSU | Lower Location Parameter Given Shape Parameters, Mean, Variance, and Upper Location Parameter of a Four-Parameter Beta Probability Density Distribution.
LL.CA | An Implementation of the Livingston and Lewis (1995) Approach to Estimate Classification Consistency and Accuracy based on Observed Test Scores and Test Reliability.
LL.CA.MC | 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.
LL.ROC | ROC curves for the Livingston and Lewis approach.
Lords.k | Function for estimating "Lord's k" for Lord's two-term approximation to the compound binomial distribution.
MC.out.tabular | Tabular organization of accuracy and consistency output from the 'LL.CA.MC()' function.
mdlfit.gfx | Graphical presentation of model fit for the Beta-Binomial classification accuracy and consistency model.
mdo | Calculate McDonald's Omega reliability-coefficient from supplied variables.
MLA | Most Likely True Alpha Value Given Observed Outcome.
MLB | Most Likely True Beta Value Given Observed Outcome.
MLM | Most Likely Mean of the Standard Beta Probability Density Distribution, Given that the Observation is Considered the Most Likely Observation of the Standard Beta Probability Density Distribution (i.e., the mode).
observedmoments | Compute Moments of Observed Value Distribution.
pBeta.4P | Cumulative Probability Function under the Four-Parameter Beta Probability Density Distribution.
pBetaBinom | Cumulative Probability Function under the Beta-Binomial Probability Distribution.
pBetaMS | Probability of Some Specific Observation under the Beta Probability Density Distribution with Specific Location Parameters, Mean, and Variance.
pcBinom | Cumulative Probability Mass function for Lord's Two-Term Approximation to the Compound Binomial Distribution.
pGammaBinom | Cumulative probability density function under the Gamma-extended Binomial distribution.
qBeta.4P | Quantile Given Probability Under the Four-Parameter Beta Distribution.
qBetaMS | Quantile Containing Specific Proportion of the Distribution, Given a Specific Probability of the Beta Probability Density Distribution with Specific Mean and Variance.
qGammaBinom | Quantile function for the Gamma-extended Binomial distribution.
R.ETL | Model Implied Reliability from Livingston and Lewis' "Effective Test Length".
rBeta.4P | Random Number Generation under the Four-Parameter Beta Probability Density Distribution.
rBetaBinom | Random Number Generation under the Beta-Binomial Probability Mass Distribution.
rBetacBinom | Random Number Generation under Lord's Beta Compound-Binomial Distribution.
rBetaMS | Random Draw from the Beta Probability Density Distribution With Specific Mean and Variance.
rcBinom | Random Number Generation under Lord's Two-Term Approximation to the Compound Binomial Distribution.
rGammaBinom | Random number generation under the Gamma-extended Binomial distribution.
tsm | Proportional true-score distribution raw moments from Livingston and Lewis' effective test-score and effective test-length.
UABMSL | Upper Location Parameter Given Shape Parameters, Mean, Variance, and Lower Location Parameter of a Four-Parameter Beta Probability Density Distribution.