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Vertical Scaling×نظریه پاسخ به سنجش (IRT)×
حوزهEducationروان‌سنجی
خانوادهLatent structureLatent structure
سال پیدایش20141952–1968
پدیدآورEducational measurement tradition (Thurstone; Kolen & Brennan synthesis)Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
نوعConstruction of a single developmental score scale spanning multiple gradesProbabilistic measurement model
منبع بنیادینKolen, M. J., & Brennan, R. L. (2014). Test Equating, Scaling, and Linking: Methods and Practices (3rd ed.). Springer. ISBN: 9781493903160Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
نام‌های دیگرDevelopmental Scaling, Vertical Linking, Cross-Grade Scaling, Growth Scale ConstructionIRT, latent trait theory, item characteristic curve theory, modern test theory
مرتبط45
خلاصهVertical scaling places tests written for different grade levels onto a single continuous score scale so that growth from one grade to the next can be measured in common units. Unlike horizontal equating, which links alternate forms intended to be interchangeable, vertical scaling deliberately links tests of differing difficulty and content to build a developmental continuum spanning, for example, grades 3 through 8. It is the measurement foundation that lets a fourth-grade and a fifth-grade score be subtracted to express how much a student grew.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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ScholarGateمقایسهٔ روش‌ها: Vertical Scaling · Item Response Theory. بازیابی‌شده در 2026-06-24 از https://scholargate.app/fa/compare