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| Ανάλυση Παραγόντων× | Ανάλυση Διακύμανσης Πολλών Μεταβλητών (MANOVA)× | |
|---|---|---|
| Πεδίο≠ | Ερευνητική Στατιστική | Στατιστική |
| Οικογένεια≠ | Process / pipeline | Hypothesis test |
| Έτος προέλευσης≠ | 1931 | 1932 |
| Δημιουργός≠ | Louis Leon Thurstone | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) |
| Τύπος≠ | Method | Parametric multivariate mean comparison |
| Θεμελιώδης πηγή≠ | Thurstone, L. L. (1947). Multiple Factor Analysis. University of Chicago Press. DOI ↗ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 |
| Εναλλακτικές ονομασίες≠ | EFA, CFA, latent variable modeling | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) |
| Συναφείς≠ | 3 | 5 |
| Σύνοψη≠ | Factor analysis is a statistical technique for identifying latent (unobserved) dimensions underlying observed variables, developed by Louis Leon Thurstone in the 1930s and formalized by Jöreskog (1969). Exploratory factor analysis (EFA) discovers unknown factor structure from data; confirmatory factor analysis (CFA) tests hypothesized relationships between observed and latent variables. Essential in psychometrics (test development), organizational research (measuring constructs like leadership style), and biomedicine (identifying disease subtypes), factor analysis reduces dimensionality while revealing conceptual organization in multivariate data. | MANOVA is a parametric hypothesis test that simultaneously compares group means across multiple continuous dependent variables, controlling the inflation of Type I error that would result from running separate ANOVAs. Key multivariate test statistics — Wilks' Lambda, Pillai's Trace, Hotelling-Lawley Trace, and Roy's Greatest Root — were developed between the 1930s and 1950s, with Wilks' Lambda formalised by Samuel Stanley Wilks in 1932. |
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