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| Analyse der ordinalen Reliabilität× | Item Response Theory (IRT)× | |
|---|---|---|
| Fachgebiet | Psychometrie | Psychometrie |
| Familie | Latent structure | Latent structure |
| Entstehungsjahr≠ | 2007 | 1952–1968 |
| Urheber≠ | Bruno D. Zumbo and colleagues | Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models) |
| Typ≠ | Internal consistency reliability estimation | Probabilistic measurement model |
| Wegweisende Quelle≠ | Zumbo, B. D., Gadermann, A. M. & Zeisser, C. (2007). Ordinal versions of coefficients alpha and theta as measures of internal consistency for Likert rating scales. Journal of Modern Applied Statistical Methods, 6(1), 21–29. DOI ↗ | Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗ |
| Aliasnamen | ordinal alpha, polychoric reliability, reliability for ordinal scales, ORA | IRT, latent trait theory, item characteristic curve theory, modern test theory |
| Verwandt | 5 | 5 |
| Zusammenfassung≠ | Ordinal reliability analysis estimates the internal consistency of scales whose items are measured on ordered-category (Likert-type) response formats. By basing computations on polychoric correlations rather than Pearson correlations, it corrects for the attenuation that standard Cronbach's alpha produces when responses are discrete and non-normal. | Item response theory models the probability that a respondent answers an item correctly (or endorses it) as a function of the respondent's latent trait level and the item's own statistical properties — difficulty, discrimination, and guessing. Unlike classical test theory, IRT places persons and items on the same scale, yielding measurement that is sample-independent for items and test-independent for persons. |
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