# Bayesian Inference for Multinomial Models with Inequality Constraints

## Documentation for package ‘multinomineq’ version 0.2.5

- DESCRIPTION file.
- User guides, package vignettes and other documentation.

## Help Pages

multinomineq-package | multinomineq: Bayesian Inference for Inequality-Constrained Multinomial Models
Ab_drop_fixed | Drop fixed columns in the Ab-Representation
Ab_max | Automatic Construction of Ab-Representation for Common Inequality Constraints
Ab_multinom | Get Constraints for Product-Multinomial Probabilities
Ab_sort | Sort Inequalities by Acceptance Rate
Ab_to_V | Transform Vertex/Inequality Representation of Polytope
add_fixed | Drop or Add Fixed Dimensions for Multinomial Probabilities/Frequencies
bf_binom | Bayes Factor for Linear Inequality Constraints
bf_equality | Bayes Factor with Inequality and (Approximate) Equality Constraints
bf_multinom | Bayes Factor for Linear Inequality Constraints
bf_nonlinear | Bayes Factor for Nonlinear Inequality Constraints
binom_to_multinom | Converts Binary to Multinomial Frequencies
count_binom | Count How Many Samples Satisfy Linear Inequalities (Binomial)
count_multinom | Count How Many Samples Satisfy Linear Inequalities (Multinomial)
count_nonlinear | Bayes Factor for Nonlinear Inequality Constraints
count_to_bf | Compute Bayes Factor Using Prior/Posterior Counts
drop_fixed | Drop or Add Fixed Dimensions for Multinomial Probabilities/Frequencies
find_inside | Find a Point/Parameter Vector Within a Convex Polytope
heck2017 | Data: Multiattribute Decisions (Heck, Hilbig & Moshagen, 2017)
heck2017_raw | Data: Multiattribute Decisions (Heck, Hilbig & Moshagen, 2017)
hilbig2014 | Data: Multiattribute Decisions (Hilbig & Moshagen, 2014)
inside | Check Whether Points are Inside a Convex Polytope
inside_binom | Check Whether Choice Frequencies are in Polytope
inside_multinom | Check Whether Choice Frequencies are in Polytope
karabatsos2004 | Data: Item Responses Theory (Karabatsos & Sheu, 2004)
ml_binom | Maximum-likelihood Estimate
ml_multinom | Maximum-likelihood Estimate
model_weights | Get Posterior/NML Model Weights
multinomineq | multinomineq: Bayesian Inference for Inequality-Constrained Multinomial Models
nirt_to_Ab | Nonparametric Item Response Theory (NIRT)
population_bf | Aggregation of Individual Bayes Factors
postprob | Transform Bayes Factors to Posterior Model Probabilities
ppp_binom | Posterior Predictive p-Values
ppp_multinom | Posterior Predictive p-Values
regenwetter2012 | Data: Ternary Risky Choices (Regenwetter & Davis-Stober, 2012)
rpbinom | Random Generation for Independent Multinomial Distributions
rpdirichlet | Random Samples from the Product-Dirichlet Distribution
rpmultinom | Random Generation for Independent Multinomial Distributions
sampling_binom | Posterior Sampling for Inequality-Constrained Multinomial Models
sampling_multinom | Posterior Sampling for Inequality-Constrained Multinomial Models
sampling_nonlinear | Posterior Sampling for Multinomial Models with Nonlinear Inequalities
stochdom_Ab | Ab-Representation for Stochastic Dominance of Histogram Bins
stochdom_bf | Bayes Factor for Stochastic Dominance of Continuous Distributions
strategy_marginal | Log-Marginal Likelihood for Decision Strategy
strategy_multiattribute | Strategy Predictions for Multiattribute Decisions
strategy_postprob | Strategy Classification: Posterior Model Probabilities
strategy_to_Ab | Transform Pattern of Predictions to Polytope
strategy_unique | Unique Patterns/Item Types of Strategy Predictions
swop5 | Strict Weak Order Polytope for 5 Elements and Ternary Choices
V_to_Ab | Transform Vertex/Inequality Representation of Polytope