مقایسهٔ روش‌ها

	نظریه پاسخ به سنجش گروهی (MG-IRT)	مدل چند گروهی راش
حوزه	روان‌سنجی	روان‌سنجی
خانواده	Latent structure	Latent structure
سال پیدایش	1990s	1960 (Rasch); 1980s–1990s (multi-group extensions)
پدیدآور	Multiple contributors; formalized by Birnbaum (1968) for IRT; multi-group extensions developed through 1980s–1990s	Georg Rasch (single-group); extended to multi-group applications by Fischer, Molenaar, and others
نوع	Latent trait / measurement invariance	Item response model / measurement invariance test
منبع بنیادین	Embretson, S. E. & Reise, S. P. (2000). Item Response Theory for Psychologists. Lawrence Erlbaum Associates. ISBN: 978-0805828191	Fischer, G. H. & Molenaar, I. W. (Eds.) (1995). Rasch Models: Foundations, Recent Developments, and Applications. Springer. ISBN: 978-0387944296
نام‌های دیگر	MG-IRT, multiple-group IRT, multi-group latent trait model, IRT across groups	MG-Rasch, Rasch measurement invariance, multi-group 1PL IRT, cross-group Rasch analysis
مرتبط	6	6
خلاصه	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.	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.