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Współczynnik rzetelności Omega McDonalda (ω)×Konfirmacyjna Analiza Czynnikowa (CFA)×Kwantitativna analiza czynnikowa (CFA)×Eksploracyjna analiza czynnikowa (EFA)×
DziedzinaPsychometriaStatystykaPsychometriaStatystyka
RodzinaLatent structureLatent structureLatent structureLatent structure
Rok powstania199919691969
TwórcaRoderick P. McDonaldKarl JöreskogKarl Gustav Jöreskog
TypReliability coefficient / latent variable modelConfirmatory latent variable modelHypothesis-testing latent variable modelLatent variable / dimension reduction
Źródło pierwotneMcDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830750Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202. DOI ↗Fabrigar, L. R., Wegener, D. T., MacCallum, R. C. & Strahan, E. J. (1999). Evaluating the use of exploratory factor analysis in psychological research. Psychological Methods, 4(3), 272–299. DOI ↗
Inne nazwyomega reliability, ω coefficient, omega total, omega hierarchicalDoğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement modelCFA, confirmatory FA, measurement model, restricted factor analysiscommon factor analysis, açımlayıcı faktör analizi, factor analysis
Pokrewne6444
PodsumowanieMcDonald'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.Confirmatory factor analysis tests whether a researcher-specified factor structure fits the observed data. Formalised by Karl Jöreskog in 1969, it is the measurement-model step within structural equation modelling and is the standard tool for validating the factorial structure of scales and questionnaires before comparing groups or estimating latent relationships.Confirmatory factor analysis tests a researcher-specified factor structure against observed data. Unlike exploratory approaches, the researcher decides in advance which indicators load on which latent factor, and the model is evaluated by how closely the implied covariance matrix reproduces the sample covariance matrix. CFA is central to scale validation, construct validity assessment, and measurement invariance testing.Exploratory factor analysis reduces a large set of observed variables into a smaller number of latent common factors. It is widely used in scale development and psychometrics to uncover the dimensional structure that underlies a set of correlated items, without specifying that structure in advance.
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