Finite Mixture Multilevel Multidimensional Ordinal IRT Models for Large Scale Cross-Cultural Research

We present a class of finite mixture multilevel multidimensional ordinal IRT models for large scale cross-cultural research. Our model is proposed for confirmatory research settings. Our prior for item parameters is a mixture distribution to accommodate situations where different groups of countries...

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Bibliographic Details
Published in:Psychometrika 2010-03, Vol.75 (1), p.3-32
Main Authors: de Jong, Martijn G., Steenkamp, Jan-Benedict E. M.
Format: Article
Language:English
Subjects:
Assessment
Behavioral Science and Psychology
Biological and medical sciences
Cross Cultural Studies
Factor Analysis
Foreign Countries
Fundamental and applied biological sciences. Psychology
Humanities
Inferences
Item Parameters
Item Response Theory
Law
Measurement Techniques
Measures (Individuals)
Psychology
Psychology. Psychoanalysis. Psychiatry
Psychology. Psychophysiology
Psychometrics
Psychometrics. Statistics. Methodology
Quantitative psychology
Rating Scales
Researchers
Resistance (Psychology)
Simulation
Social sciences
Statistical Theory and Methods
Statistics for Social Sciences
Statistics. Mathematics
Testing and Evaluation
Theory and Methods
Well Being
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Summary:We present a class of finite mixture multilevel multidimensional ordinal IRT models for large scale cross-cultural research. Our model is proposed for confirmatory research settings. Our prior for item parameters is a mixture distribution to accommodate situations where different groups of countries have different measurement operations, while countries within these groups are still allowed to be heterogeneous. A simulation study is conducted that shows that all parameters can be recovered. We also apply the model to real data on the two components of affective subjective well-being: positive affect and negative affect. The psychometric behavior of these two scales is studied in 28 countries across four continents.
ISSN:0033-3123
1860-0980
DOI:10.1007/s11336-009-9134-z