So sánh phương pháp

	Lý thuyết Khả tổng quát Đa nhóm	Mô hình Rasch đa nhóm
Lĩnh vực	Trắc lượng tâm lý	Trắc lượng tâm lý
Họ	Latent structure	Latent structure
Năm ra đời	1963–2001	1960 (Rasch); 1980s–1990s (multi-group extensions)
Người khởi xướng	Lee J. Cronbach and colleagues (Cronbach, Gleser, Nanda, Rajaratnam), extended to multi-group contexts by Brennan and others	Georg Rasch (single-group); extended to multi-group applications by Fischer, Molenaar, and others
Loại	Variance component / reliability generalization	Item response model / measurement invariance test
Công trình gốc	Brennan, R. L. (2001). Generalizability Theory. Springer. ISBN: 978-0387952826	Fischer, G. H. & Molenaar, I. W. (Eds.) (1995). Rasch Models: Foundations, Recent Developments, and Applications. Springer. ISBN: 978-0387944296
Tên gọi khác	MG G-theory, multi-group G-theory, generalizability theory across groups, cross-group G-study	MG-Rasch, Rasch measurement invariance, multi-group 1PL IRT, cross-group Rasch analysis
Liên quan	6	6
Tóm tắt	Multi-group generalizability theory (MG G-theory) extends classical generalizability theory to estimate and compare variance components — attributable to persons, items, raters, occasions, and their interactions — simultaneously across two or more defined groups. It reveals whether a measurement procedure is equally reliable and generalizable for every group studied, supporting fair and equitable score interpretation.	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.