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क्रमिक राश मॉडल (रेटिंग स्केल और आंशिक क्रेडिट मॉडल)×आइटम रिस्पांस थ्योरी (IRT)×
क्षेत्रमनोमितिमनोमिति
परिवारLatent structureLatent structure
उद्भव वर्ष1978–19821952–1968
प्रवर्तकDavid Andrich (RSM, 1978); Geoff Masters (PCM, 1982)Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
प्रकारItem response model for ordered categoriesProbabilistic measurement model
मौलिक स्रोतAndrich, D. (1978). A rating formulation for ordered response categories. Psychometrika, 43(4), 561–573. DOI ↗Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
उपनामRating Scale Model, Partial Credit Model, RSM, PCMIRT, latent trait theory, item characteristic curve theory, modern test theory
संबंधित65
सारांशThe ordinal Rasch model extends the dichotomous Rasch framework to items with ordered response categories such as Likert-type scales. It places both persons and items on a shared interval-level metric, enabling principled measurement from ordinal data while checking whether items function consistently across all response thresholds.Item response theory models the probability that a respondent answers an item correctly (or endorses it) as a function of the respondent's latent trait level and the item's own statistical properties — difficulty, discrimination, and guessing. Unlike classical test theory, IRT places persons and items on the same scale, yielding measurement that is sample-independent for items and test-independent for persons.
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