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| Phân tích nhân tố khám phá (EFA)× | Phân tích nhân tố khẳng định (Confirmatory Factor Analysis - CFA)× | Phân tích thành phần chính× | |
|---|---|---|---|
| Lĩnh vực≠ | Thống kê | Trắc lượng tâm lý | Học máy |
| Họ≠ | Latent structure | Latent structure | Machine learning |
| Năm ra đời≠ | — | 1969 | 2002 |
| Người khởi xướng≠ | — | Karl Gustav Jöreskog | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) |
| Loại≠ | Latent variable / dimension reduction | Hypothesis-testing latent variable model | Unsupervised dimensionality reduction |
| Công trình gốc≠ | 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 ↗ |
| Tên gọi khác≠ | common factor analysis, açımlayıcı faktör analizi, factor analysis | CFA, confirmatory FA, measurement model, restricted factor analysis | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform |
| Liên quan≠ | 4 | 4 | 3 |
| Tóm tắt≠ | 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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