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	बहु-समूह आइटम रिस्पांस थ्योरी (MG-IRT)	बहु-समूह मापन निश्चरता परीक्षण
क्षेत्र	मनोमिति	मनोमिति
परिवार	Latent structure	Latent structure
उद्भव वर्ष	1990s	1971–1993
प्रवर्तक	Multiple contributors; formalized by Birnbaum (1968) for IRT; multi-group extensions developed through 1980s–1990s	Jöreskog, K. G. (1971); Meredith, W. (1993)
प्रकार	Latent trait / measurement invariance	Model comparison / hypothesis testing
मौलिक स्रोत	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.
उपनाम	MG-IRT, multiple-group IRT, multi-group latent trait model, IRT across groups	measurement invariance, factorial invariance, cross-group invariance, MI testing
संबंधित	6	6
सारांश	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.