Linganisha mbinu

	Nadharia ya Mwitikio wa Kipengee kwa Vikundi Nyingi (MG-IRT)	Uchanganuzi wa Uthibiti wa Vipengele vya Vikundi Nyingi (MG-CFA)
Nyanja	Saikometriki	Saikometriki
Familia	Latent structure	Latent structure
Mwaka wa asili	1990s	1971
Mwanzilishi	Multiple contributors; formalized by Birnbaum (1968) for IRT; multi-group extensions developed through 1980s–1990s	Karl Jöreskog
Aina	Latent trait / measurement invariance	Measurement model / invariance test
Chanzo asilia	Embretson, S. E. & Reise, S. P. (2000). Item Response Theory for Psychologists. Lawrence Erlbaum Associates. ISBN: 978-0805828191	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-IRT, multiple-group IRT, multi-group latent trait model, IRT across groups	MG-CFA, multi-group CFA, measurement invariance testing, multi-sample CFA
Zinazohusiana	6	6
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.	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.