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Vertical Scaling×Item Response Theory (IRT)×
FagområdeEducationPsykometri
FamilieLatent structureLatent structure
Oprindelsesår20141952–1968
OphavspersonEducational measurement tradition (Thurstone; Kolen & Brennan synthesis)Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
TypeConstruction of a single developmental score scale spanning multiple gradesProbabilistic measurement model
Oprindelig kildeKolen, 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 ↗
AliasserDevelopmental Scaling, Vertical Linking, Cross-Grade Scaling, Growth Scale ConstructionIRT, latent trait theory, item characteristic curve theory, modern test theory
Relaterede45
ResuméVertical 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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ScholarGateSammenlign metoder: Vertical Scaling · Item Response Theory. Hentet 2026-06-24 fra https://scholargate.app/da/compare