Relationships and Properties of Polytomous Item Response Theory Models

By L. V. D. Ark. 2001

83 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Developmental and Educational Psychology, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/f1f637a65800278560acb9aa3c3ec4e1c4c2c9ce

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In Computer Networks and Communications

In Developmental and Educational Psychology

In Management Science and Operations Research

Citations in the corpus

IRTrees: Tree-Based Item Response Models of the GLMM Family (2012, methodology): “An overview of all three approaches is given by van der Ark (2001).”
A Note on Stochastic Ordering of the Latent Trait Using the Sum of Polytomous Item Scores (2010, methodology): “All other IRT models in Figure 1 are a special case of the np-GRM (see Van der Ark, 2001, for an overview of the proofs), and, therefore, a corollary of the theorem is that all IRT models in Figure 1 imply weak SOL.”
Nonparametric Item Response Theory in Action: An Overview of the Special Issue (2001, result): “Nevertheless, preliminary simulation results (Sijtsma & Van der Ark, 2001) suggest that, in practice, the mismatch of the ordering of X+ and θ might not be very serious in data stemming from typical choices of item parameters and a normal θ distribution.”
Mokken Scale Analysis in R (2007, methodology): “Several other nonparametric IRT models have been proposed (see van der Ark 2001, for an overview).”
Cognitive Assessment Models with Few Assumptions, and Connections with Nonparametric Item Response Theory (2001, methodology): “…that the task response data fit a polytomous monotone homogeneity model (a model assuming only LI, unidimensionality, and monotonicity; see Van der Ark, 2001) well when (1) each item within a task was scored as correct—when a correct response and a correct deductive strategy based on transitive…”
New Developments in Mokken Scale Analysis in R (2012, methodology): “Several other nonparametric IRT models have been proposed (see Van der Ark 2001, for an overview).”
Comparing the Aberrant Response Detection Performance of Thirty-Six Person-Fit Statistics (2003, methodology): “For non-parametric IRT models, and classical test theory, the difficulty of an item j is based on ∑Nn = 1 1 – Xnj, the number of incorrect responses it contains over the sample of N examinees (see for e.g., van der Ark, 2001, p. 273, as how the item score stochastically orders examinee ability, θ).”
The Use of Restricted Latent Class Models for Defining and Testing Nonparametric and Parametric Item Response Theory Models (2001, background): “…on the adjacent category odds imply the inequality constraints on the two types of continuation odds and the cumulative odds, and the inequality constraints on one of the two types of continuation odds imply the inequality constraints on the cumulative odds (Hemker et al., 1997; van der Ark, 2001).”