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確認的因子分析(CFA)×因子分析(EFA)×主成分分析×構造方程式モデリング(SEM)×
分野心理測定学統計学機械学習統計学
系統Latent structureLatent structureMachine learningLatent structure
提唱年196920021970
提唱者Karl Gustav JöreskogJolliffe, I.T. (textbook); Pearson & Hotelling (origins)Karl Jöreskog (LISREL framework, 1970s)
種類Hypothesis-testing latent variable modelLatent variable / dimension reductionUnsupervised dimensionality reductionLatent variable / causal modeling
原典Jöreskog, 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 ↗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
別名CFA, confirmatory FA, measurement model, restricted factor analysiscommon 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
関連4435
概要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.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手法を比較: Confirmatory factor analysis · EFA · Principal Component Analysis · SEM. 2026-06-18に以下より取得 https://scholargate.app/ja/compare