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CUB (version 0.1)

A Class of Mixture Models for Ordinal Data

Description

Estimate and test models for ordinal data concerning the family of CUB models and their extensions (where CUB stands for Combination of a discrete Uniform and a shifted Binomial distributions).

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Version

Install

install.packages('CUB')

Monthly Downloads

258

Version

0.1

License

GPL-2 | GPL-3

Maintainer

Rosaria Simone

Last Published

June 7th, 2016

Functions in CUB (0.1)

chi2cub2cov

Pearson $X^2$ statistic for CUB models with one discrete covariate for feeling
betabinomialcsi

Beta-Binomial probabilities of ordinal responses, given feeling parameter for each observation
chi2cub

Pearson $X^2$ statistic
chi2cub1cov

Pearson $X^2$ statistic for CUB models with one discrete covariate for feeling
CUB_package

A Class of Mixture Models for Ordinal Data
bitcsi

Shifted Binomial probabilities of ordinal responses
betar

Beta-Binomial distribution
auxmat

Auxiliary matrix
bitgama

Shifted Binomial distribution with covariates
betabinomial

Beta-Binomial probabilities of ordinal responses, with feeling and overdispersion parameters for each observation
cube000

Main function for CUBE models without covariates
cubp0

Main function for CUB models with covariates for the uncertainty component
cubforsim

Simulation routine for CUB models without covariates
cub00

Main function for CUB models without covariates
CUB

Main function for CUB models
cubpq

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

Simulation routine for CUBE models without covariates
cub0q

Main function for CUB models with covariates for the feeling component
CUBE

Main function for CUBE models
cubecov

Main function for CUBE models with covariates
deltaprob

Mean difference of a discrete random variable
effe01

Auxiliary function for the log-likelihood estimation of CUB models
cushcov

CUSH model with covariates
cushforsim

Simulation routine for CUSH models without covariates
cubshe

Main function for CUB models with a shelter effect
CUSH

Main function for CUSH models
cubvisual

Plot an estimated CUB model
effe10

Auxiliary function for the log-likelihood estimation of CUB models
dissim

Normalized dissimilarity measure
cush00

CUSH model without covariates
ellecub

Log-likelihood function of a CUB model without covariates
effecush

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

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

Auxiliary function for the log-likelihood estimation of IHG models without covariates
expcub00

Expectation of CUB models
effeihgcov

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

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

Expectation of CUBE models
inibestcubecov

Preliminary parameter estimates for CUBE models with covariates
inibestcube

Naive estimates for CUBE models without covariates
inibestcubecsi

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

Preliminary parameter estimates of a CUB model with covariates for feeling
gini

Normalized Gini heterogeneity index
ihg00

Main function for IHG models without covariates
IHG

Main function for IHG models
Hadprod

Hadamard product of a matrix with a vector
loglikcubecsi

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

Grid-based preliminary parameter estimates for CUB models
iniihg

Moment estimate for the preference parameter of the IHG distribution
loglikcuben

Log-likelihood function of CUBE models for ordinal data
ihgcov

Main function for IHG models with covariates
loglikcub0q

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

Preliminary estimators for CUB models without covariates
loglikcub00

Log-likelihood function of a CUB model without covariates
loglikcubshe

Log-likelihood of a CUB model with shelter effect
loglikCUSH

Log-likelihood function for CUSH models
loglikCUBE

Log-likelihood function for CUBE models
loglikcubecov

Log-likelihood function of a CUBE model with covariates
multicub

Joint plot of estimated CUB models in the parameter space
logscore

Logarithmic score
varcovcubecov

Variance-covariance matrix of a CUBE model with covariates
plotloglikihg

Plot of the log-likelihood function of the IHG distribution
simcub

Simulation routine for CUB models
Quno

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

Probability distribution of a shifted Binomial random variable
probcub0q

Probability distribution of a CUB model with covariates for the feeling component
probcub00

Probability distribution of a CUB model without covariates
varcovcubeexp

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

Simulation routine for CUBE models
simcubshe

Simulation routine for CUB models with shelter effect
varcovcubpq

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

Log-likelihood function for IHG models
varcovcubshe

Variance-covariance matrix for CUB models with shelter effect
loglikihgcov

Log-likelihood function for the IHG model with covariates
probcube

Probability distribution of a CUBE model without covariates
loglikcubp0

Log-likelihood function of a CUB model with covariates for the uncertainty component
probcubp0

Probability distribution of a CUB model with covariates for the uncertainty component
probcubshe2

probcubshe2
loglikcubpq

Log-likelihood function of a CUB model with covariates for both feeling and uncertainty
probcubshe3

probcubshe3
probcush

Probability distribution of a CUSH model
loglikcush00

Log-likelihood function for a CUSH model without covariates
kkk

Sequence of combinatorial coefficients
laakso

Normalized Laakso and Taagepera heterogeneity index
varcube

Variance of CUBE models without covariates
probihg

Probability distribution of an IHG model
varcub00

Variance of CUB models without covariates
probcubpq

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

Log-likelihood function for a CUSH model with covariates
probcubshe1

probcubshe1
simcush

Simulation routine for CUSH models
simihg

Simulation routine for IHG models
varcovcubp0

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

The logistic transform
varcovcubeobs

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

Probability distribution of an IHG model with covariates
loglikCUB

Log-likelihood function for CUB models
varcovcub00

Variance-covariance matrix of a CUB model without covariates
Qdue

Auxiliary function for the log-likelihood estimation of CUBE models with covariates
varcovcub0q

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

Variance-covariance matrix for CUB models
varmatCUBE

Variance-covariance matrix for CUBE models