方法对比
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| 验证性因子分析 (CFA)× | 主成分分析× | |
|---|---|---|
| 领域≠ | 统计学 | 机器学习 |
| 方法族≠ | Latent structure | Machine learning |
| 起源年份≠ | 1969 | 2002 |
| 提出者≠ | Karl Jöreskog | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) |
| 类型≠ | Confirmatory latent variable model | Unsupervised dimensionality reduction |
| 开创性文献≠ | Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363 | Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗ |
| 别名≠ | Doğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform |
| 相关≠ | 4 | 3 |
| 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. | 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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