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探索性因子分析(EFA)×验证性因子分析(CFA)×主成分分析×
领域统计学心理测量学机器学习
方法族Latent structureLatent structureMachine learning
起源年份19692002
提出者Karl Gustav JöreskogJolliffe, I.T. (textbook); Pearson & Hotelling (origins)
类型Latent variable / dimension reductionHypothesis-testing latent variable modelUnsupervised dimensionality reduction
开创性文献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 ↗Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202. DOI ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗
别名common factor analysis, açımlayıcı faktör analizi, factor analysisCFA, confirmatory FA, measurement model, restricted factor analysisTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform
相关443
摘要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.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.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.
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ScholarGate方法对比: EFA · Confirmatory factor analysis · Principal Component Analysis. 于 2026-06-18 检索自 https://scholargate.app/zh/compare