An IRT Model with a Parameter-Driven Process for Change
An IRT model with a parameter-driven process for change is proposed. Quantitative differences between persons are taken into account by a continuous latent variable, as in common IRT models. In addition, qualitative interindividual differences and autodependencies are accounted for by assuming withi...
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| Published in | Psychometrika Vol. 70; no. 4; pp. 651 - 669 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Springer
01.12.2005
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0033-3123 1860-0980 |
| DOI | 10.1007/s11336-002-1047-z |
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| Abstract | An IRT model with a parameter-driven process for change is proposed. Quantitative differences between persons are taken into account by a continuous latent variable, as in common IRT models. In addition, qualitative interindividual differences and autodependencies are accounted for by assuming within-subject variability with respect to the parameters of the IRT model. In particular, the parameters of the IRT model are governed by an unobserved or “hidden'” homogeneous Markov process. The model includes the mixture linear logistic test model (Mislevy & Verhelst, 1990), the mixture Rasch model (Rost, 1990), and the Saltus model (Wilson, 1989) as specific instances. The model is applied to a longitudinal experiment on discontinuity in conservation acquisition (van der Maas, 1993). |
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| AbstractList | An IRT model with a parameter-driven process for change is proposed. Quantitative differences between persons are taken into account by a continuous latent variable, as in common IRT models. In addition, qualitative interindividual differences and autodependencies are accounted for by assuming within-subject variability with respect to the parameters of the IRT model. In particular, the parameters of the IRT model are governed by an unobserved or "hidden'" homogeneous Markov process. The model includes the mixture linear logistic test model (Mislevy & Verhelst, 1990), the mixture Rasch model (Rost, 1990), and the Saltus model (Wilson, 1989) as specific instances. The model is applied to a longitudinal experiment on discontinuity in conservation acquisition (van der Maas, 1993). An IRT model with a parameter-driven process for change is proposed. Quantitative differences between persons are taken into account by a continuous latent variable, as in common IRT models. In addition, qualitative inter-individual differences and auto-dependencies are accounted for by assuming within-subject variability with respect to the parameters of the IRT model. In particular, the parameters of the IRT model are governed by an unobserved or "hidden'" homogeneous Markov process. The model includes the mixture linear logistic test model (Mislevy & Verhelst, 1990), the mixture Rasch model (Rost, 1990), and the Saltus model (Wilson, 1989) as specific instances. The model is applied to a longitudinal experiment on discontinuity in conservation acquisition (van der Maas, 1993). |
| Author | Rijmen, Frank van der Maas, Han L. J. De Boeck, Paul |
| Author_xml | – sequence: 1 givenname: Frank surname: Rijmen fullname: Rijmen, Frank – sequence: 2 givenname: Paul surname: De Boeck fullname: De Boeck, Paul – sequence: 3 givenname: Han L. J. surname: van der Maas fullname: van der Maas, Han L. J. |
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| Keywords | Psychometrics Panel data Change Markov model Item response theory latent markov model |
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| SubjectTerms | Biological and medical sciences Change Feedback (Response) Fundamental and applied biological sciences. Psychology Individual Differences Item Response Theory Latent class analysis Longitudinal studies Markov analysis Markov Processes Observation Probability Psychology. Psychoanalysis. Psychiatry Psychology. Psychophysiology Psychometrics Psychometrics. Statistics. Methodology Rasch model Research Methodology Scientific Research Statistics. Mathematics Variables |
| Title | An IRT Model with a Parameter-Driven Process for Change |
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