مقایسهٔ روشها
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| تحلیل عاملی تأییدی (CFA)× | تحلیل مؤلفههای اصلی× | مدلسازی معادلات ساختاری (SEM)× | |
|---|---|---|---|
| حوزه≠ | روانسنجی | یادگیری ماشین | آمار |
| خانواده≠ | Latent structure | Machine learning | Latent structure |
| سال پیدایش≠ | 1969 | 2002 | 1970 |
| پدیدآور≠ | Karl Gustav Jöreskog | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) | Karl Jöreskog (LISREL framework, 1970s) |
| نوع≠ | Hypothesis-testing latent variable model | Unsupervised dimensionality reduction | Latent variable / causal modeling |
| منبع بنیادین≠ | 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 ↗ | Hair, J. F., Black, W. C., Babin, B. J. & Anderson, R. E. (2019). Multivariate Data Analysis (8th ed.). Cengage Learning. ISBN: 978-1473756540 |
| نامهای دیگر | CFA, confirmatory FA, measurement model, restricted factor analysis | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform | Yapısal Eşitlik Modellemesi (SEM), structural equation modelling, covariance structure analysis, latent variable modeling |
| مرتبط≠ | 4 | 3 | 5 |
| خلاصه≠ | 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. | 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. |
| ScholarGateمجموعهداده ↗ |
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