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| 確認的因子分析(CFA)× | クロンバックのα(信頼性分析)× | 主成分分析× | |
|---|---|---|---|
| 分野≠ | 心理測定学 | 統計学 | 機械学習 |
| 系統≠ | Latent structure | Latent structure | Machine learning |
| 提唱年≠ | 1969 | 1951 | 2002 |
| 提唱者≠ | Karl Gustav Jöreskog | Lee J. Cronbach | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) |
| 種類≠ | Hypothesis-testing latent variable model | Reliability / internal consistency coefficient | Unsupervised dimensionality reduction |
| 原典≠ | Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202. DOI ↗ | Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. DOI ↗ | Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗ |
| 別名 | CFA, confirmatory FA, measurement model, restricted factor analysis | coefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha) | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform |
| 関連≠ | 4 | 4 | 3 |
| 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. | 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. | 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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