Analysis of multinomial models under inequality constraints: applications to measurement theory
From MaRDI portal
Publication:1042296
DOI10.1016/j.jmp.2008.08.003zbMath1176.91140OpenAlexW2045518354MaRDI QIDQ1042296
Publication date: 7 December 2009
Published in: Journal of Mathematical Psychology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmp.2008.08.003
Related Items (22)
\textsc{Tutorial}: ``With sufficient increases in X, more people will engage in the target behavior ⋮ Evaluating decision maker ``type under \(p\)-additive utility representations ⋮ Invariance axioms and functional form restrictions in structural models ⋮ A Tailor-Made Test of Intransitive Choice ⋮ The sample monomode and an associated test for discrete monomodality ⋮ Monotonicity as a tool for differentiating between truth and optimality in the aggregation of rankings ⋮ Recasting a biologically motivated computational model within a Fechnerian and random utility framework ⋮ Individual differences in the algebraic structure of preferences ⋮ Adjacencies on random ordering polytopes and flow polytopes ⋮ Selecting amongst multinomial models: an apologia for normalized maximum likelihood ⋮ Selectivity in probabilistic causality: where psychology runs into quantum physics ⋮ A lexicographic semiorder polytope and probabilistic representations of choice ⋮ Implicit inequality constraints in a binary tree model ⋮ Evaluating the equal-interval hypothesis with test score scales ⋮ Extended formulations for order polytopes through network flows ⋮ An experimental test of reduction invariance ⋮ Stochastic models for risky choices: a comparison of different axiomatizations ⋮ A note on likelihood ratio tests for models with latent variables ⋮ Relating causal and probabilistic approaches to contextuality ⋮ Multinomial models with linear inequality constraints: overview and improvements of computational methods for Bayesian inference ⋮ \textsc{QTest} 2.1: quantitative testing of theories of binary choice using Bayesian inference ⋮ An analysis of item response theory and Rasch models based on the most probable distribution method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random utility representation of binary choice probabilities: A new class of necessary conditions
- A historical and contemporary perspective on random scale representations of choice probabilities and reaction times in the context of Cohen and Falmagne's (1990, Journal of Mathematical Psychology, 34) results
- Restricted parameter space estimation problems. Admissibility and minimaxity properties.
- Order restricted statistical tests on multinomial and Poisson parameters: The starshaped restriction
- A conditional likelihood ratio test for order restrictions in exponential families
- Likelihood ratio tests for and against a stochastic ordering between multinomial populations
- Generalizing the concept of binary choice systems induced by rankings: One way of probabilizing deterministic measurement structures
- Induced binary probabilities and the linear ordering polytope: A status report
- Geometric and combinatorial properties of the polytope of binary choice probabilities
- Bootstrap methods: another look at the jackknife
- A representation theorem for finite random scale systems
- A new method for estimating model parameters for multinomial data
- Restricted multinomial maximum likelihood estimation based upon Fenchel duality
- Probabilistic biclassification and random variable representations
- Projections on cones, chi-bar squared distributions, and Weyl's formula
- Weights of \(\overline{\chi}^2\) distribution for smooth or piecewise smooth cone alternatives
- Weak order polytopes.
- A short proof of a theorem of Falmagne.
- Binary choice probabilities and rankings
- Representing parametric order constraints in multi-trial applications of multinomial processing tree models
- New multinomial models for the Chechile-Meyer task
- A necessary but insufficient condition for the stochastic binary choice problem
- Statistical issues in measurement
- Random utility representation of binary choice probabilities: Critical graphs yielding critical necessary conditions
- On an F-type statistic for testing one-sided hypotheses and computation of chi-bar-squared weights
- A Bayesian approach to testing decision making axioms
- Modelling intransitive preferences: a random-effects approach
- An essay on inequalities and order-restricted inference
- Constrained Statistical Inference
- There Are Many Models of Transitive Preference: A Tutorial Review and Current Perspective
- Facets of the linear ordering polytope
- Asymptotic distribution of test statistics in the analysis of moment structures under inequality constraints
- Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests Under Nonstandard Conditions
- Multiparameter Hypothesis Testing and Acceptance Sampling
- Prospect Theory: An Analysis of Decision under Risk
- A Matrix Approach to Finding a Set of Generators and Finding the Polar (Dual) of a Class of Polyhedral Cones
- Inconsistency of the Bootstrap when a Parameter is on the Boundary of the Parameter Space
- New Facets of the Linear Ordering Polytope
- On Differentiability of Metric Projections in R n , 1: Boundary Case
- On asymptotic tests of composite hypotheses in nonstandard conditions
- Testing for and against a set of linear inequality constraints in a multinomial setting
- Stationary Ordinal Utility and Impatience
- Maximum Likelihood Estimation with Incomplete Multinomial Data
- Binary Probabilities Induced by Rankings
- The Large-Sample Distribution of the Likelihood Ratio for Testing Composite Hypotheses
- On the Distribution of the Likelihood Ratio
- Determining the automorphism group of the linear ordering polytope
This page was built for publication: Analysis of multinomial models under inequality constraints: applications to measurement theory
