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稳健探索性因子分析×项目反应理论 (IRT)×
领域心理测量学心理测量学
方法族Latent structureLatent structure
起源年份2000–20031952–1968
提出者Pison, Rousseeuw, Filzmoser, and Croux; Yuan and Bentler (parallel streams)Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
类型Latent variable / dimension reduction (robust)Probabilistic measurement model
开创性文献Yuan, K.-H., & Bentler, P. M. (2000). Robust mean and covariance structure analysis through iteratively reweighted least squares. Psychometrika, 65(1), 43–58. DOI ↗Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
别名robust EFA, robust factor analysis, outlier-resistant factor analysis, EFA with robust estimationIRT, latent trait theory, item characteristic curve theory, modern test theory
相关45
摘要Robust exploratory factor analysis discovers the latent factor structure of a set of items using estimation methods that are resistant to outliers and violations of multivariate normality. It applies the same measurement model as standard EFA but replaces classical covariance estimation with robust counterparts — such as minimum covariance determinant or iteratively reweighted least squares — so that a small fraction of atypical cases cannot distort the recovered factor loadings.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方法对比: Robust Exploratory Factor Analysis · Item Response Theory. 于 2026-06-17 检索自 https://scholargate.app/zh/compare