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PLMIX

Bayesian Analysis of Finite Mixtures of Plackett-Luce Models for Partial Rankings/Orderings

Fit finite mixtures of Plackett-Luce models for partial top rankings/orderings within the Bayesian framework. It provides MAP point estimates via EM algorithm and posterior MCMC simulations via Gibbs Sampling. It also fits MLE as a special case of the noninformative Bayesian analysis with vague priors. In addition to inferential techniques, the package assists other fundamental phases of a model-based analysis for partial rankings/orderings, by including functions for data manipulation, simulation, descriptive summary, model selection and goodness-of-fit evaluation. Main references on the methods are Mollica and Tardella (2017) <doi.org/10.1007/s11336-016-9530-0> and Mollica and Tardella (2014) <doi/10.1002/sim.6224>.

Functions (36)

PLMIX-package

Bayesian Analysis of Finite Mixtures of Plackett-Luce Models for Partial Rankings/Orderings

as.top_ordering

Coercion into top-ordering datasets

bicPLMIX

BIC for the MLE of a mixture of Plackett-Luce models

binary_group_ind

Binary group membership matrix

d_apa

American Psychological Association Data (partial orderings)

d_carconf

Car Configurator Data (partial orderings)

d_dublinwest

Dublin West Data (partial orderings)

d_gaming

Gaming Platforms Data (complete orderings)

d_german

German Sample Data (complete orderings)

d_nascar

NASCAR Data (partial orderings)

d_occup

Occupation Data (complete orderings)

d_rice

Rice Voting Data (partial orderings)

freq_to_unit

Individual rankings/orderings from the frequency distribution

gibbsPLMIX

Gibbs sampling for a Bayesian mixture of Plackett-Luce models

gsPLMIX_to_mcmc

MCMC class objects from the Gibbs sampling simulations of a Bayesian mixture of Plackett-Luce models

is.top_ordering

Top-ordering datasets

label_switchPLMIX

Label switching adjustment of the Gibbs sampling simulations for Bayesian mixtures of Plackett-Luce models

loglikelihood

Likelihood and log-likelihood evaluation for a mixture of Plackett-Luce models

make_complete

Completion of partial rankings/orderings

make_partial

Censoring of complete rankings/orderings

mapPLMIX

MAP estimation for a Bayesian mixture of Plackett-Luce models

mapPLMIX_multistart

MAP estimation for a Bayesian mixture of Plackett-Luce models with multiple starting values

paired_comparisons

Paired comparison matrix for a partial ordering/ranking dataset

plot.gsPLMIX

Plot the Gibbs sampling simulations for a Bayesian mixture of Plackett-Luce models

plot.mpPLMIX

Plot the MAP estimates for a Bayesian mixture of Plackett-Luce models

ppcheckPLMIX

Posterior predictive check for Bayesian mixtures of Plackett-Luce models

ppcheckPLMIX_cond

Conditional posterior predictive check for Bayesian mixtures of Plackett-Luce models

print.gsPLMIX

Print of the Gibbs sampling simulation of a Bayesian mixture of Plackett-Luce models

print.mpPLMIX

Print of the MAP estimation algorithm for a Bayesian mixture of Plackett-Luce models

rPLMIX

Random sample from a mixture of Plackett-Luce models

rank_ord_switch

Switch from orderings to rankings and vice versa

rank_summaries

Descriptive summaries for a partial ordering/ranking dataset

selectPLMIX

Bayesian selection criteria for mixtures of Plackett-Luce models

summary.gsPLMIX

Summary of the Gibbs sampling procedure for a Bayesian mixture of Plackett-Luce models

summary.mpPLMIX

Summary of the MAP estimation for a Bayesian mixture of Plackett-Luce models

unit_to_freq

Frequency distribution from the individual rankings/orderings

PLMIX

Bayesian Analysis of Finite Mixtures of Plackett-Luce Models for Partial Rankings/Orderings

v2.1.1

GPL (>= 2)

Authors

Cristina Mollica [aut, cre], Luca Tardella [aut]

Initial release

2019-09-04

PLMIX

Functions (36)

PLMIX

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