strategy_to_Ab

Transforms ordered item-type predictions to polytope definition.
This allows to use Monte-Carlo methods to compute the Bayes factor
if the number of item types is large (<code>bf_binom</code>).

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>).

Daniel W. Heck

multinomineq

Bayesian Inference for Multinomial Models with Inequality
Constraints

strategy_to_Ab function

<dl><dt>strategy</dt>
<dd>a decision strategy returned by <code>strategy_multiattribute</code>.</dd></dl>

Arguments

Transform Pattern of Predictions to Polytope — strategy_to_Ab

<dl>

<dt>strategy</dt>
<dd>a decision strategy returned by <code>strategy_multiattribute</code>.</dd>

</dl>

strategy_to_Ab: Transform Pattern of Predictions to Polytope

Description

Usage

Value

Arguments

Details

Examples