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| Eksploracyjna analiza czynnikowa (EFA)× | Analiza Głównych Składowych× | Modelowanie równań strukturalnych (SEM)× | |
|---|---|---|---|
| Dziedzina≠ | Statystyka | Uczenie maszynowe | Statystyka |
| Rodzina≠ | Latent structure | Machine learning | Latent structure |
| Rok powstania≠ | — | 2002 | 1970 |
| Twórca≠ | — | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) | Karl Jöreskog (LISREL framework, 1970s) |
| Typ≠ | Latent variable / dimension reduction | Unsupervised dimensionality reduction | Latent variable / causal modeling |
| Źródło pierwotne≠ | 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 |
| Inne nazwy≠ | common factor analysis, açımlayıcı faktör analizi, 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 |
| Pokrewne≠ | 4 | 3 | 5 |
| Podsumowanie≠ | 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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