ERIC Number: EJ1092580
Record Type: Journal
Publication Date: 2016-Apr
Abstractor: As Provided
Reference Count: 17
On the Relationship between Classical Test Theory and Item Response Theory: From One to the Other and Back
Raykov, Tenko; Marcoulides, George A.
Educational and Psychological Measurement, v76 n2 p325-338 Apr 2016
The frequently neglected and often misunderstood relationship between classical test theory and item response theory is discussed for the unidimensional case with binary measures and no guessing. It is pointed out that popular item response models can be directly obtained from classical test theory-based models by accounting for the discrete nature of the observed items. Two distinct observational equivalence approaches are outlined that render the item response models from corresponding classical test theory-based models, and can each be used to obtain the former from the latter models. Similarly, classical test theory models can be furnished using the reverse application of either of those approaches from corresponding item response models.
Descriptors: Test Theory, Item Response Theory, Models, Correlation, Item Analysis, Fundamental Concepts, True Scores, Error of Measurement, Comparative Analysis, Measurement Techniques, Mathematical Formulas
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Publication Type: Journal Articles; Reports - Evaluative
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