Functions for Working with Two- And Four-Parameter Beta Probability Distributions


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Documentation for package ‘betafunctions’ version 1.5.0

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afac Ascending (rising) factorial.
AMS Alpha Shape-Parameter Given Location-Parameters, Mean, Variance, Skewness, Kurtosis and Beta Shape-Parameter of a Four-Parameter Beta PDD.
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.
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, Variance, Skewness, Kurtosis and Alpha Shape-Parameter of a Four-Parameter Beta PDD.
caStats Classification Accuracy Statistics.
cba Calculate Cronbach's Alpha from supplied variables.
ccStats Classification Consistency Statistics.
confmat Confusion matrix
dBeta.4P Probability Density under the Four-Parameter Beta PDD.
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.
dBetaMS Density Under a Specific Point of the Standard Beta PDD with Specific Mean and Variance or Standard Deviation.
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).
LABMSU Lower Location Parameter Given Shape Parameters, Mean, Variance, and Upper Location Parameter of a Four-Parameter Beta PDD.
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.ROC ROC curves for the Livingston and Lewis approach.
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 PDD, Given that the Observation is Considered the Most Likely Observation of the Standard Beta PDD (i.e., the mode).
observedmoments Compute Moments of Observed Value Distribution.
pBeta.4P Cumulative Probability Function under the Four-Parameter Beta Probability Density Distribution.
pBetaMS Probability of Some Specific Observation under the Standard Beta PDD with Specific Mean and Variance.
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 Standard Beta PDD with Specific Mean and Variance or Standard Deviation.
qGammaBinom Quantile function for the Gamma-extended Binomial distribution.
rBeta.4P Random Number Generation under the Four-Parameter Beta Probability Density Distribution.
rBetaMS Random Draw from the Standard Beta PDD With Specific Mean and Variance.
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 PDD.