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An Item Response Model with Internal Restrictions on Item Difficulty.
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Butter, Rene; De Boeck, Paul – Psychometrika, 1998
An item response theory model based on the Rasch model is proposed for composite tasks, those decomposed into subtasks of different kinds. The model, which is illustrated with an application to spelling tasks, constrains the difficulties of the composite tasks to be linear combinations of the difficulties of the subtask items. (SLD)
Descriptors: Difficulty Level, Item Response Theory, Mathematical Models, Spelling
Comparing Item Characteristic Curves.
Peer reviewed Peer reviewed
Rosenbaum, Paul R. – Psychometrika, 1987
This paper develops and applies three nonparametric comparisons of the shapes of two item characteristic surfaces: (1) proportional latent odds; (2) uniform relative difficulty; and (3) item sensitivity. A method is presented for comparing the relative shapes of two item characteristic curves in two examinee populations who were administered an…
Descriptors: Comparative Analysis, Computer Simulation, Difficulty Level, Item Analysis
Increasing Item Complexity: A Possible Cause of Scale Shrinkage for Unidimensional Item Response Theory.
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Yen, Wendy M. – Psychometrika, 1985
An approximate relationship is devised between the unidimensional model used in data analysis and a multidimensional model hypothesized to be generating the item responses. Scale shrinkage is successfully predicted for several sets of simulated data. (Author/LMO)
Descriptors: Difficulty Level, Hypothesis Testing, Item Analysis, Latent Trait Theory
A Stochastic Growth Model Applied to Repeated Tests of Academic Knowledge.
Peer reviewed Peer reviewed
Albers, Wim; And Others – Psychometrika, 1989
A model is presented for the growth of knowledge reflected by 24 progress tests completed by approximately 600 students at the University of Limburg (Netherlands) Medical School. Based on the Rasch model, this model treats both the person's ability and the difficulty of the question as random variables. (SLD)
Descriptors: Ability, Academic Achievement, Difficulty Level, Equations (Mathematics)
A Comparison of Three Simple Test Theory Models.
Peer reviewed Peer reviewed
Ramsay, James O. – Psychometrika, 1989
An alternative to the Rasch model is introduced. It characterizes strength of response according to the ratio of ability and difficulty parameters rather than their difference. Joint estimation and marginal estimation models are applied to two test data sets. (SLD)
Descriptors: Ability, Bayesian Statistics, College Entrance Examinations, Comparative Analysis
Constructing the Exact Significance Level for a Person-Fit Statistic.
Peer reviewed Peer reviewed
Liou, Michelle; Chang, Chih-Hsin – Psychometrika, 1992
An extension is proposed for the network algorithm introduced by C.R. Mehta and N.R. Patel to construct exact tail probabilities for testing the general hypothesis that item responses are distributed according to the Rasch model. A simulation study indicates the efficiency of the algorithm. (SLD)
Descriptors: Algorithms, Computer Simulation, Difficulty Level, Equations (Mathematics)
Examining Differential Item Functioning Due to Item Difficulty and Alternative Attractiveness.
Peer reviewed Peer reviewed
Westers, Paul; Kelderman, Henk – Psychometrika, 1992
A method for analyzing test-item responses is proposed to examine differential item functioning (DIF) in multiple-choice items within the latent class framework. Different models for detection of DIF are formulated, defining the subgroup as a latent variable. An efficient estimation method is described and illustrated. (SLD)
Descriptors: Chi Square, Difficulty Level, Educational Testing, Equations (Mathematics)