Methoden vergleichen

	McDonalds Omega für computergestützte adaptive Tests	Analyse der Reliabilität computergestützter adaptiver Tests
Fachgebiet	Psychometrie	Psychometrie
Familie	Latent structure	Latent structure
Entstehungsjahr	1999 (omega); CAT application 2000s–2010s	1970s–1980s
Urheber	Roderick P. McDonald (omega); CAT-omega application extended by IRT and psychometric reliability researchers	David J. Weiss and IRT psychometricians
Typ	Reliability coefficient for adaptive tests	Reliability estimation under adaptive testing
Wegweisende Quelle	McDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830408	Weiss, D. J. (1984). Application of computerized adaptive testing to educational problems. Journal of Educational Measurement, 21(4), 361–375.
Aliasnamen	CAT omega reliability, omega in adaptive testing, hierarchical omega for CAT, CAT composite reliability	CAT reliability, adaptive test reliability, IRT-based reliability estimation, marginal reliability in CAT
Verwandt	5	4
Zusammenfassung	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.	CAT reliability analysis quantifies measurement precision in computerized adaptive tests where each examinee receives a unique, individually tailored subset of items. Rather than a single classical coefficient, it uses item response theory to express precision as conditional standard error of measurement at each ability level, and marginal reliability as a global summary across the ability distribution.