Comparer des méthodes
Examinez les méthodes sélectionnées côte à côte ; les lignes qui diffèrent sont mises en évidence.
| Analyse de la variance multivariée (MANOVA)× | Analyse discriminante× | Test t pour échantillons indépendants× | |
|---|---|---|---|
| Domaine | Statistique | Statistique | Statistique |
| Famille≠ | Hypothesis test | Latent structure | Hypothesis test |
| Année d'origine≠ | 1932 | 1936 | 1908 |
| Auteur d'origine≠ | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) | Ronald A. Fisher | Student (W. S. Gosset) |
| Type≠ | Parametric multivariate mean comparison | Supervised classification and dimension reduction | Parametric mean comparison |
| Source fondatrice≠ | 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 ↗ | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗ |
| Alias≠ | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) | LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysis | student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi |
| Apparentées≠ | 5 | 4 | 4 |
| Résumé≠ | 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. | The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances. |
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