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| Multivariate Varianzanalyse (MANOVA)× | Diskriminanzanalyse× | Einfaktorielle Varianzanalyse× | |
|---|---|---|---|
| Fachgebiet | Statistik | Statistik | Statistik |
| Familie≠ | Hypothesis test | Latent structure | Hypothesis test |
| Entstehungsjahr≠ | 1932 | 1936 | 1925 |
| Urheber≠ | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) | Ronald A. Fisher | Ronald A. Fisher |
| Typ≠ | Parametric multivariate mean comparison | Supervised classification and dimension reduction | Parametric mean comparison |
| Wegweisende Quelle≠ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188. DOI ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| Aliasnamen≠ | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) | LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysis | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Verwandt≠ | 5 | 4 | 4 |
| Zusammenfassung≠ | 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. | Discriminant analysis finds linear combinations of predictor variables that best separate two or more known groups. It is used both to understand which predictors distinguish the groups and to classify new observations into those groups with minimum error. | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. |
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