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, 42â56, <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, 26â40. <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 Documentation: Downloads: Linking:Please use the canonical form https://CRAN.R-project.org/package=multinomineq to link to this page.
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