Linganisha mbinu
Pitia mbinu ulizochagua bega kwa bega; safu zinazotofautiana zinaangaziwa.
| Nadharia ya Mwitikio wa Kipengee kwa Vikundi Nyingi (MG-IRT)× | Nadharia ya Itikio la Kipengee (IRT)× | |
|---|---|---|
| Nyanja | Saikometriki | Saikometriki |
| Familia | Latent structure | Latent structure |
| Mwaka wa asili≠ | 1990s | 1952–1968 |
| Mwanzilishi≠ | Multiple contributors; formalized by Birnbaum (1968) for IRT; multi-group extensions developed through 1980s–1990s | Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models) |
| Aina≠ | Latent trait / measurement invariance | Probabilistic measurement model |
| Chanzo asilia≠ | Embretson, S. E. & Reise, S. P. (2000). Item Response Theory for Psychologists. Lawrence Erlbaum Associates. ISBN: 978-0805828191 | Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗ |
| Majina mbadala | MG-IRT, multiple-group IRT, multi-group latent trait model, IRT across groups | IRT, latent trait theory, item characteristic curve theory, modern test theory |
| Zinazohusiana≠ | 6 | 5 |
| Muhtasari≠ | 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. | 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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