Implements Gibbs sampling and Bayes factors for multinomial models with linear inequality constraints on the vector of probability parameters. As special cases, the model class includes models that predict a linear order of binomial probabilities (e.g., p[1] < p[2] < p[3] < .50) and mixture models assuming that the parameter vector p must be inside the convex hull of a finite number of predicted patterns (i.e., vertices). A formal definition of inequality-constrained multinomial models and the implemented computational methods is provided in: Heck, D.W., & Davis-Stober, C.P. (2019). Multinomial models with linear inequality constraints: Overview and improvements of computational methods for Bayesian inference. Journal of Mathematical Psychology, 91, 70-87. <doi:10.1016/j.jmp.2019.03.004>. Inequality-constrained multinomial models have applications in the area of judgment and decision making to fit and test random utility models (Regenwetter, M., Dana, J., & Davis-Stober, C.P. (2011). Transitivity of preferences. Psychological Review, 118, 42–56, <doi:10.1037/a0021150>) or to perform outcome-based strategy classification to select the decision strategy that provides the best account for a vector of observed choice frequencies (Heck, D.W., Hilbig, B.E., & Moshagen, M. (2017). From information processing to decisions: Formalizing and comparing probabilistic choice models. Cognitive Psychology, 96, 26–40. <doi:10.1016/j.cogpsych.2017.05.003>).

Version: | 0.2.6 |

Depends: | R (≥ 4.0.0) |

Imports: | Rcpp (≥ 0.12.11), parallel, Rglpk, quadprog, coda, RcppXPtrUtils |

LinkingTo: | Rcpp, RcppArmadillo, RcppProgress |

Suggests: | knitr, rmarkdown, testthat, covr |

Published: | 2024-02-20 |

DOI: | 10.32614/CRAN.package.multinomineq |

Author: | Daniel W. Heck [aut, cre] |

Maintainer: | Daniel W. Heck <daniel.heck at uni-marburg.de> |

License: | GPL-3 |

URL: | https://github.com/danheck/multinomineq |

NeedsCompilation: | yes |

Citation: | multinomineq citation info |

CRAN checks: | multinomineq results |

Reference manual: | multinomineq.pdf |

Vignettes: |
multinomineq: Multinomial Models with Inequality Constraints |

Package source: | multinomineq_0.2.6.tar.gz |

Windows binaries: | r-devel: multinomineq_0.2.6.zip, r-release: multinomineq_0.2.6.zip, r-oldrel: multinomineq_0.2.6.zip |

macOS binaries: | r-release (arm64): multinomineq_0.2.6.tgz, r-oldrel (arm64): multinomineq_0.2.6.tgz, r-release (x86_64): multinomineq_0.2.6.tgz, r-oldrel (x86_64): multinomineq_0.2.6.tgz |

Old sources: | multinomineq archive |

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