Linganisha mbinu

	Nadharia ya Utafiti wa Makundi Mengi	Uchanganuzi wa Uthibiti wa Vipengele vya Vikundi Nyingi (MG-CFA)
Nyanja	Saikometriki	Saikometriki
Familia	Latent structure	Latent structure
Mwaka wa asili	1963–2001	1971
Mwanzilishi	Lee J. Cronbach and colleagues (Cronbach, Gleser, Nanda, Rajaratnam), extended to multi-group contexts by Brennan and others	Karl Jöreskog
Aina	Variance component / reliability generalization	Measurement model / invariance test
Chanzo asilia	Brennan, R. L. (2001). Generalizability Theory. Springer. ISBN: 978-0387952826	Vandenberg, R. J. & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature: Suggestions, practices, and recommendations for organizational research. Organizational Research Methods, 3(1), 4–70.
Majina mbadala	MG G-theory, multi-group G-theory, generalizability theory across groups, cross-group G-study	MG-CFA, multi-group CFA, measurement invariance testing, multi-sample CFA
Zinazohusiana	6	6
Muhtasari	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.	Multi-group confirmatory factor analysis tests whether a measurement model holds equivalently across two or more groups — such as cultures, genders, or time points. By imposing increasingly stringent equality constraints and comparing model fit, it determines whether comparisons of latent mean scores are justified.