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| Anàlisi Multivariant de la Variància (MANOVA)× | Test t per a mostres independents× | Anàlisi de la variància d'un factor× | |
|---|---|---|---|
| Camp | Estadística | Estadística | Estadística |
| Família | Hypothesis test | Hypothesis test | Hypothesis test |
| Any d'origen≠ | 1932 | 1908 | 1925 |
| Autor original≠ | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) | Student (W. S. Gosset) | Ronald A. Fisher |
| Tipus≠ | Parametric multivariate mean comparison | Parametric mean comparison | Parametric mean comparison |
| Font seminal≠ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| Àlies≠ | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) | student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Relacionats≠ | 5 | 4 | 4 |
| Resum≠ | 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. | 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. | 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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