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Analýza polytomické spolehlivosti×Teorie odpovědi na položku (IRT)×
OborPsychometrikaPsychometrika
RodinaLatent structureLatent structure
Rok vzniku2007–2009 (formal ordinal extensions); broader framework since 1950s1952–1968
TvůrceBuilding on Cronbach (1951) and McDonald (1978); ordinal extensions by Zumbo and colleagues (2007) and Green and Yang (2009)Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
TypReliability estimationProbabilistic measurement model
Původní zdrojGreen, S. B. & Yang, Y. (2009). Reliability of summed item scores using structural equation modeling: An alternative to coefficient alpha. Psychometrika, 74(1), 155–167. DOI ↗Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
Další názvypolytomous scale reliability, ordinal reliability estimation, reliability for ordered-category items, polychoric reliability analysisIRT, latent trait theory, item characteristic curve theory, modern test theory
Příbuzné35
ShrnutíPolytomous reliability analysis estimates the internal consistency or precision of measurement for scales composed of items with more than two ordered response categories, such as Likert-type, rating, or partial-credit items. It corrects a well-known underestimation bias in conventional Cronbach's alpha by working with polychoric correlations or IRT-based precision indices.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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ScholarGatePorovnat metody: Polytomous Reliability Analysis · Item Response Theory. Získáno 2026-06-17 z https://scholargate.app/cs/compare