विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| द्वि-मार्गी प्रसरण विश्लेषण (द्वि-मार्गी एनोवा)× | बहुभिन्नरूपी प्रसरण विश्लेषण (MANOVA)× | |
|---|---|---|
| क्षेत्र | सांख्यिकी | सांख्यिकी |
| परिवार | Hypothesis test | Hypothesis test |
| उद्भव वर्ष≠ | 1925 | 1932 |
| प्रवर्तक≠ | Ronald A. Fisher | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) |
| प्रकार≠ | Parametric factorial mean comparison | Parametric multivariate mean comparison |
| मौलिक स्रोत≠ | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478 | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 |
| उपनाम≠ | factorial ANOVA, two-factor ANOVA, İki Yönlü ANOVA | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) |
| संबंधित≠ | 6 | 5 |
| सारांश≠ | Two-Way ANOVA is a parametric hypothesis test that simultaneously examines the main effects of two independent categorical factors and their interaction effect on a single continuous dependent variable. The technique was developed within the broader framework of the analysis of variance established by Ronald A. Fisher in 1925 and remains the standard approach whenever an experiment or survey includes exactly two between-subjects factors. | 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. |
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