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

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Documentation for package ‘betafunctions’ version 1.2.0

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AMS Alpha Shape Parameter Given Mean and Variance of a Standard Beta PDD.
AUC Area Under the ROC Curve.
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.
betamoments Compute Moments of Two-to-Four Parameter Beta Probability Density Distributions.
BMS Beta Shape Parameter Given Mean and Variance of a Standard Beta PDD.
caStats Classification Accuracy Statistics.
cba Calculate Cronbach's Alpha from supplied variables.
ccStats Classification Consistency Statistics.
dBeta.4P Probability Density under the Four-Parameter Beta PDD.
dBeta.pBeta An implementation of the Beta-density Compound Cumulative-Beta Distribution.
dBeta.pBinom An implementation of the Beta-density Compound Cumulative-Binomial Distribution.
dBetaMS Density Under a Specific Point of the Standard Beta PDD with Specific Mean and Variance or Standard Deviation.
ETL Livingston and Lewis' "Effective Test Length".
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., 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.
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.
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.