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| Model Rascha dla wielu grup× | Teoria odpowiedzi na pozycje (IRT) dla wielu grup (MG-IRT)× | |
|---|---|---|
| Dziedzina | Psychometria | Psychometria |
| Rodzina | Latent structure | Latent structure |
| Rok powstania≠ | 1960 (Rasch); 1980s–1990s (multi-group extensions) | 1990s |
| Twórca≠ | Georg Rasch (single-group); extended to multi-group applications by Fischer, Molenaar, and others | Multiple contributors; formalized by Birnbaum (1968) for IRT; multi-group extensions developed through 1980s–1990s |
| Typ≠ | Item response model / measurement invariance test | Latent trait / measurement invariance |
| Źródło pierwotne≠ | Fischer, G. H. & Molenaar, I. W. (Eds.) (1995). Rasch Models: Foundations, Recent Developments, and Applications. Springer. ISBN: 978-0387944296 | Embretson, S. E. & Reise, S. P. (2000). Item Response Theory for Psychologists. Lawrence Erlbaum Associates. ISBN: 978-0805828191 |
| Inne nazwy | MG-Rasch, Rasch measurement invariance, multi-group 1PL IRT, cross-group Rasch analysis | MG-IRT, multiple-group IRT, multi-group latent trait model, IRT across groups |
| Pokrewne | 6 | 6 |
| Podsumowanie≠ | The multi-group Rasch model fits the one-parameter logistic item response model simultaneously across two or more distinct groups, testing whether item difficulty parameters are invariant across groups. It is the primary psychometric tool for establishing that a scale measures the same latent trait with the same metric in each group, a prerequisite for meaningful score comparisons. | Multi-group item response theory fits IRT models simultaneously across two or more defined groups — such as males and females, or different cultural samples — to determine whether item parameters are invariant across those groups. It is the primary IRT-based framework for testing measurement equivalence and detecting differential item functioning (DIF) at the model level. |
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