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コンピュータ適応型テストのためのマクドナルドのオメガ×項目応答理論 (IRT)×
分野心理測定学心理測定学
系統Latent structureLatent structure
提唱年1999 (omega); CAT application 2000s–2010s1952–1968
提唱者Roderick P. McDonald (omega); CAT-omega application extended by IRT and psychometric reliability researchersFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
種類Reliability coefficient for adaptive testsProbabilistic measurement model
原典McDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830408Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
別名CAT omega reliability, omega in adaptive testing, hierarchical omega for CAT, CAT composite reliabilityIRT, latent trait theory, item characteristic curve theory, modern test theory
関連55
概要McDonald's omega adapted for computerized adaptive testing (CAT) quantifies the reliability of ability or trait estimates when different examinees answer different subsets of items. Unlike Cronbach's alpha, omega is grounded in a factor model, making it suitable for the heterogeneous item pools and variable test lengths that characterize adaptive administrations.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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ScholarGate手法を比較: CAT McDonald's Omega · Item Response Theory. 2026-06-19に以下より取得 https://scholargate.app/ja/compare