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बहु-समूह राश मॉडल×विभेदक आइटम कार्यप्रणाली (DIF)×
क्षेत्रमनोमितिमनोमिति
परिवारLatent structureLatent structure
उद्भव वर्ष1960 (Rasch); 1980s–1990s (multi-group extensions)1970s–1993
प्रवर्तकGeorg Rasch (single-group); extended to multi-group applications by Fischer, Molenaar, and othersWilliam H. Angoff and colleagues (ETS); systematized by Holland & Wainer
प्रकारItem response model / measurement invariance testItem-level bias detection
मौलिक स्रोतFischer, G. H. & Molenaar, I. W. (Eds.) (1995). Rasch Models: Foundations, Recent Developments, and Applications. Springer. ISBN: 978-0387944296Holland, P. W. & Wainer, H. (Eds.) (1993). Differential Item Functioning. Lawrence Erlbaum Associates. ISBN: 978-0805809589
उपनामMG-Rasch, Rasch measurement invariance, multi-group 1PL IRT, cross-group Rasch analysisDIF, item bias analysis, measurement non-equivalence, item-level measurement bias
संबंधित65
सारांशThe 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.Differential item functioning identifies test or survey items that behave differently for examinees from different groups — such as gender, ethnicity, or language background — after controlling for the underlying ability or trait being measured. DIF analysis is essential for fairness evaluation in educational testing and psychological scale development.
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