مقایسهٔ روشها
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| تحلیل واریانس چندمتغیره (MANOVA)× | تحلیل کوواریانس (ANCOVA)× | تحلیل واریانس یکطرفه× | |
|---|---|---|---|
| حوزه | آمار | آمار | آمار |
| خانواده | Hypothesis test | Hypothesis test | Hypothesis test |
| سال پیدایش≠ | 1932 | 1932 | 1925 |
| پدیدآور≠ | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) | Ronald A. Fisher | Ronald A. Fisher |
| نوع≠ | Parametric multivariate mean comparison | Parametric group comparison with covariate control | Parametric mean comparison |
| منبع بنیادین≠ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| نامهای دیگر≠ | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) | analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi) | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| مرتبط≠ | 5 | 4 | 4 |
| خلاصه≠ | 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. | ANCOVA is a parametric hypothesis test that compares the adjusted means of two or more independent groups while statistically controlling for one or more continuous covariates. By removing the portion of outcome variance explained by the covariate, ANCOVA increases statistical precision and produces fairer group comparisons. The method builds on the general linear model framework consolidated by Fisher in the early 1930s and is described comprehensively by Tabachnick and Fidell (2013). | 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. |
| ScholarGateمجموعهداده ↗ |
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