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맥도날드 오메가(ω) 신뢰도 계수×Rasch 모형×
분야심리측정학심리측정학
계열Latent structureLatent structure
기원 연도19991960
창시자Roderick P. McDonaldGeorg Rasch
유형Reliability coefficient / latent variable modelItem Response Theory / Latent trait model
원전McDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830750Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests. Danish Institute for Educational Research, Copenhagen. link ↗
별칭omega reliability, ω coefficient, omega total, omega hierarchical1PL IRT, one-parameter logistic model, Rasch Modeli — 1PL IRT, 1PL model
관련66
요약McDonald's omega is a factor-analysis-based reliability coefficient introduced by Roderick P. McDonald (1999) that quantifies the internal consistency of a composite score without requiring the restrictive assumption that all items contribute equally to the latent factor. It yields two complementary indices: ω_total, which captures overall reliability of the sum score, and ω_hierarchical (ωh), which reports how much of the composite's variance is explained specifically by a single general factor.The Rasch model, introduced by Georg Rasch in 1960, is the simplest member of the Item Response Theory (IRT) family. It assigns a single difficulty parameter to each test item and places both item difficulties and person abilities on the same logit scale, enabling direct, sample-independent comparison of items and persons.
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