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| تحليل التباين متعدد المتغيرات (MANOVA)× | تحليل التباين أحادي الاتجاه× | |
|---|---|---|
| المجال | الإحصاء | الإحصاء |
| العائلة | Hypothesis test | Hypothesis test |
| سنة النشأة≠ | 1932 | 1925 |
| صاحب الطريقة≠ | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) | Ronald A. Fisher |
| النوع≠ | Parametric multivariate mean comparison | Parametric mean comparison |
| المصدر التأسيسي≠ | 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 ↗ |
| الأسماء البديلة≠ | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| ذات صلة≠ | 5 | 4 |
| الملخص≠ | 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. | 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. |
| ScholarGateمجموعة البيانات ↗ |
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