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验证性因子分析 (CFA)×克朗巴赫α系数(信度分析)×探索性因子分析(EFA)×主成分分析×结构方程模型 (SEM)×
领域统计学统计学统计学机器学习统计学
方法族Latent structureLatent structureLatent structureMachine learningLatent structure
起源年份1969195120021970
提出者Karl JöreskogLee J. CronbachJolliffe, I.T. (textbook); Pearson & Hotelling (origins)Karl Jöreskog (LISREL framework, 1970s)
类型Confirmatory latent variable modelReliability / internal consistency coefficientLatent variable / dimension reductionUnsupervised dimensionality reductionLatent variable / causal modeling
开创性文献Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. 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 ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗Hair, J. F., Black, W. C., Babin, B. J. & Anderson, R. E. (2019). Multivariate Data Analysis (8th ed.). Cengage Learning. ISBN: 978-1473756540
别名Doğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement modelcoefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha)common factor analysis, açımlayıcı faktör analizi, factor analysisTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformYapısal Eşitlik Modellemesi (SEM), structural equation modelling, covariance structure analysis, latent variable modeling
相关44435
摘要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.Cronbach's alpha is a coefficient of internal consistency that quantifies the degree to which a set of items on a scale measures the same underlying construct. Introduced by Lee J. Cronbach in 1951, it remains the most widely reported reliability index in social-science, health, and educational research.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.Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures.Structural equation modeling is a multivariate statistical framework that simultaneously estimates a measurement model — relating observed indicators to latent constructs — and a structural model specifying directional or reciprocal relationships among those constructs. Rooted in the LISREL tradition developed by Karl Jöreskog in the 1970s, SEM is the standard tool for testing complex theoretical models in the social, behavioural, and management sciences.
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ScholarGate方法对比: CFA · Cronbach's Alpha · EFA · Principal Component Analysis · SEM. 于 2026-06-17 检索自 https://scholargate.app/zh/compare