swop5

Facet-defining inequalities of the strict weak order mixture model
for all 10 paired comparisons of 5 choice elements {a,b,c,d,e} in a
3-alternative forced-choice task (Regenwetter &amp; Davis-Stober, 2012).

datasets

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

swop5 function

A list with 3 elements:<dl>
 <dt><code>A</code>: </dt>
<dd>Matrix with inequality constraints that define a polytope via <code>A*x &lt;= b</code>.</dd> <dt><code>b</code>: </dt>
<dd>vector with upper bounds for the inequalities.</dd> <dt><code>start</code>: </dt>
<dd>A point in the polytope.</dd> <dt><code>options</code>: </dt>
<dd>A vector with the number of options (=3) per item type.</dd>
</dl>

Format

Strict Weak Order Polytope for 5 Elements and Ternary Choices — swop5

A list with 3 elements:<dl>
 <dt><code>A</code>: </dt>
<dd>Matrix with inequality constraints that define a polytope via <code>A*x &lt;= b</code>.</dd>

 <dt><code>b</code>: </dt>
<dd>vector with upper bounds for the inequalities.</dd>

 <dt><code>start</code>: </dt>
<dd>A point in the polytope.</dd>

 <dt><code>options</code>: </dt>
<dd>A vector with the number of options (=3) per item type.</dd>


</dl>

swop5: Strict Weak Order Polytope for 5 Elements and Ternary Choices

Description

Usage

Arguments

Format

References

See Also

Examples