Functions for Working with Two- And Four-Parameter Beta Probability Distributions and Psychometric Analysis of Classifications
Method of Moment Estimates of Shape- and Location Parameters of the Fo...
Ascending (rising) factorial.
Method of Moment Estimates of Shape-Parameters of the Two-Parameter (S...
Alpha Shape-Parameter Given Location-Parameters, Mean, and Variance a ...
Area Under the ROC Curve.
Coordinate Generation for Marking an Area Under the Curve for the Beta...
Coordinate Generation for Marking an Area Under the Curve for the Beta...
Coordinate Generation for Marking an Area Under the Curve for the Beta...
Estimate Beta true-score distribution based on observed-score raw-mome...
Compute Moments of Beta-Binomial Probability Mass Functions.
Compute Median of Two- and Four-Parameter Beta Probability Density dis...
Compute Mode of Two- and Four-Parameter Beta Probability Density distr...
Compute Moments of Two-to-Four Parameter Beta Probability Density Dist...
Compute Moments of Binomial Probability Mass Functions.
Beta Shape-Parameter Given Location-Parameters, Mean, and Variance of ...
Classification Accuracy Statistics.
Calculate Cronbach's Alpha reliability-coefficient from supplied varia...
Classification Consistency Statistics.
Confusion matrix
Probability Density under the Four-Parameter Beta Probability Density ...
An implementation of a Beta-density Compound Cumulative-Beta Distribut...
An implementation of the Beta-density Compound Cumulative Binomial Dis...
An implementation of a Beta-density Compound Cumulative Gamma-Binomial...
Probability Mass under the Beta-Binomial Probability-Mass Distribution...
Probability Mass function for Lord's Beta Compound Binomial Distributi...
Density Under a Specific Point of the Beta Probability Density Distrib...
Probability Mass function for Lord's Two-Term Approximation to the Com...
Descending (falling) factorial.
Probability density function under the Gamma-extended Binomial distrib...
Livingston and Lewis' "Effective Test Length".
Gamma-extended Binomial coefficient (choose function).
Estimate Beta True-Score Distribution Based on Observed-Score Raw-Mome...
An Extension of the Hanson and Brennan Approach to Estimate Classifica...
An Implementation of the Hanson and Brennan Approach to Estimate Class...
ROC curves for the Hanson and Brennan approach.
Proportional True-Score Distribution Raw Moments for the Hanson-Brenna...
Lower Location Parameter Given Shape Parameters, Mean, Variance, and U...
An Extension of the Livingston and Lewis (1995) Approach to Estimate C...
An Implementation of the Livingston and Lewis (1995) Approach to Estim...
ROC curves for the Livingston and Lewis approach.
Function for estimating "Lord's k" for Lord's two-term approximation t...
Tabular organization of accuracy and consistency output from the `LL.C...
Graphical presentation of model fit for the Beta-Binomial classificati...
Calculate McDonald's Omega reliability-coefficient from supplied varia...
Most Likely True Alpha Value Given Observed Outcome.
Most Likely True Beta Value Given Observed Outcome.
Most Likely Mean of the Standard Beta Probability Density Distribution...
Compute Moments of Observed Value Distribution.
Cumulative Probability Function under the Four-Parameter Beta Probabil...
Cumulative Probability Function under the Beta-Binomial Probability Di...
Probability of Some Specific Observation under the Beta Probability De...
Cumulative Probability Mass function for Lord's Two-Term Approximation...
Cumulative probability density function under the Gamma-extended Binom...
Quantile Given Probability Under the Four-Parameter Beta Distribution.
Quantile Containing Specific Proportion of the Distribution, Given a S...
Quantile function for the Gamma-extended Binomial distribution.
Model Implied Reliability from Livingston and Lewis' "Effective Test L...
Random Number Generation under the Four-Parameter Beta Probability Den...
Random Number Generation under the Beta-Binomial Probability Mass Dist...
Random Number Generation under Lord's Beta Compound-Binomial Distribut...
Random Draw from the Beta Probability Density Distribution With Specif...
Random Number Generation under Lord's Two-Term Approximation to the Co...
Random number generation under the Gamma-extended Binomial distributio...
Proportional true-score distribution raw moments from Livingston and L...
Upper Location Parameter Given Shape Parameters, Mean, Variance, and L...
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>.