Linganisha mbinu

	Nadharia ya Mwitikio wa Kipengee kwa Vikundi Nyingi (MG-IRT)	Upimaji wa Kutofautiana kwa Vipimo katika Vikundi Vingi
Nyanja	Saikometriki	Saikometriki
Familia	Latent structure	Latent structure
Mwaka wa asili	1990s	1971–1993
Mwanzilishi	Multiple contributors; formalized by Birnbaum (1968) for IRT; multi-group extensions developed through 1980s–1990s	Jöreskog, K. G. (1971); Meredith, W. (1993)
Aina	Latent trait / measurement invariance	Model comparison / hypothesis testing
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	measurement invariance, factorial invariance, cross-group invariance, MI testing
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 measurement invariance testing examines whether a latent construct is measured in the same way across two or more distinct groups — such as cultures, genders, or age cohorts. It is a prerequisite for meaningful group comparisons of latent means or relationships, ensuring that observed score differences reflect true differences rather than measurement artifacts.