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CUB (version 1.1.5)

A Class of Mixture Models for Ordinal Data

Description

For ordinal rating data, estimate and test models within the family of CUB models and their extensions (where CUB stands for Combination of a discrete Uniform and a shifted Binomial distributions); Simulation routines, plotting facilities and fitting measures are also provided.

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Version

Install

install.packages('CUB')

Version

1.1.5

License

GPL-2 | GPL-3

Maintainer

Last Published

February 23rd, 2024

Functions in CUB (1.1.5)

Main function for CUB models

Main function for GEM models

Main function for CUSH models

S3 BIC method for class "GEM"

Hadamard product of a matrix with a vector

Main function for IHG models

Main function for CUBE models

Auxiliary function for the log-likelihood estimation of CUBE models with covariates

Auxiliary function for the log-likelihood estimation of GeCUB models.

Beta-Binomial probabilities of ordinal responses, with feeling and overdispersion parameters for each observation

Shifted Binomial distribution with covariates

Shifted Binomial probabilities of ordinal responses

betabinomialcsi

Beta-Binomial probabilities of ordinal responses, given feeling parameter for each observation

Auxiliary matrix

Beta-Binomial distribution

Pearson \(X^2\) statistic

Auxiliary function for the log-likelihood estimation of GeCUB models.

Pearson \(X^2\) statistic for CUB models with one discrete covariate for feeling

Auxiliary function for the log-likelihood estimation of CUBE models with covariates

Main function for CUB models without covariates

Correlation matrix for estimated model

Main function for CUB models with covariates for the feeling component

S3 Method: coef for class "GEM"

Plot an estimated CUBE model

Pearson \(X^2\) statistic for CUB models with one discrete covariate for feeling

Main function for CUBE models with covariates only for feeling

Main function for CUB models with covariates for the uncertainty component

Main function for CUBE models with covariates

Main function for CUBE models without covariates

Mean difference of a discrete random variable

CUSH model with covariates

CUSH model without covariates

Main function for CUB models with covariates for both the uncertainty and the feeling components

Auxiliary function for the log-likelihood estimation of CUB models

Normalized dissimilarity measure

Auxiliary function for the log-likelihood estimation of CUB models

Plot an estimated CUB model with shelter

Main function for CUB models with a shelter effect

Auxiliary function for the log-likelihood estimation of IHG models without covariates

Log-likelihood function for gecub distribution

Auxiliary function for the log-likelihood estimation of CUSH models with covariates

Expectation of CUB distributions

Plot an estimated CUB model

Auxiliary function for the log-likelihood estimation of CUBE models with covariates only for the feeling component

Auxiliary function for the log-likelihood estimation of CUBE models without covariates

Expectation of CUBE models

Main function for CUB models with covariates for all the components

Normalized Gini heterogeneity index

Preliminary parameter estimates for CUBE models with covariates

Preliminary estimates of parameters for CUBE models with covariates only for feeling

Main function for IHG models without covariates

S3 method "fitted" for class "GEM"

Main function for IHG models with covariates

Log-likelihood function for CUSH models

Log-likelihood function of a CUB model with covariates for the feeling component

Normalized Laakso and Taagepera heterogeneity index

Log-likelihood function of a CUB model without covariates

Log-likelihood function for CUBE models

logLik S3 Method for class "GEM"

Sequence of combinatorial coefficients

Log-likelihood function of a CUB model without covariates

Auxiliary function for the log-likelihood estimation of IHG models with covariates

Log-likelihood function of a CUBE model with covariates

Log-likelihood function of CUBE model with covariates only for feeling

Moment estimate for the preference parameter of the IHG distribution

Grid-based preliminary parameter estimates for CUB models

Preliminary parameter estimates of a CUB model with covariates for feeling

Log-likelihood of a CUB model with shelter effect

Log-likelihood function of a CUB model with covariates for both feeling and uncertainty

Log-likelihood function for IHG models

The logistic transform

Preliminary estimators for CUB models without covariates

Naive estimates for CUBE models without covariates

S3 method: print for class "GEM"

Log-likelihood function of a CUB model with covariates for the uncertainty component

Log-likelihood function for CUB models

Log-likelihood function of CUBE models for ordinal data

Probability distribution of a CUB model without covariates

Log-likelihood function for the IHG model with covariates

Logarithmic score

Log-likelihood function for a CUSH model with covariates

Probability distribution of a CUB model with covariates for the feeling component

Log-likelihood function for a CUSH model without covariates

Probability distribution of a CUB model with covariates for both feeling and uncertainty

Plot facilities for GEM objects

Probability distribution of a CUSH model

Probability distribution of a GeCUB model

Generic function for coefficient names

Variance-covariance matrix of a CUB model without covariates

Relational goods and Leisure time dataset

Probability distribution of a shifted Binomial random variable

Variance-covariance matrix of CUB models with covariates for the feeling component

Simulation routine for CUSH models

Probability distribution of an IHG model with covariates

Joint plot of estimated CUB models in the parameter space

Joint plot of estimated CUBE models in the parameter space

Probability distribution of an IHG model

S3 method: summary for class "GEM"

Plot of the log-likelihood function of the IHG distribution

Variance-covariance matrix for CUBE models based on the observed information matrix

Simulation routine for IHG models

Variance-covariance matrix of a CUB model without covariates

Probability distribution of a CUB model with covariates for the uncertainty component

Probability distribution of a CUBE model without covariates

Simulation routine for CUBE models

Simulation routine for CUB models

Variance-covariance matrix for CUB models with shelter effect

Variance-covariance matrix of CUB model with covariates for the uncertainty parameter

Variance-covariance matrix of a CUB model with covariates for both uncertainty and feeling

Variance of CUB models without covariates

Variance-covariance matrix of a CUBE model with covariates

Simulation routine for CUB models with shelter effect

Variance-covariance matrix for CUBE models based on the expected information matrix

Variance-covariance matrix for CUBE models

Variance of CUBE models without covariates

Evaluation of the Orientation Services 2002

S3 method vcov() for class "GEM"

Variance-covariance matrix for CUB models