مقایسهٔ روشها
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| تحلیل توان برای مدلسازی معادلات ساختاری× | تحلیل واریانس چندمتغیره (MANOVA)× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده | Hypothesis test | Hypothesis test |
| سال پیدایش≠ | 1996 | 1932 |
| پدیدآور≠ | MacCallum, Browne & Sugawara | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) |
| نوع≠ | Sample size planning (multivariate / SEM) | Parametric multivariate mean comparison |
| منبع بنیادین≠ | MacCallum, R. C., Browne, M. W., & Sugawara, H. M. (1996). Power analysis and determination of sample size for covariance structure modeling. Psychological Methods, 1(2), 130–149. DOI ↗ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 |
| نامهای دیگر≠ | SEM sample size planning, covariance structure power analysis, MANOVA power analysis, SEM / Çok Değişkenli Güç Analizi | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) |
| مرتبط≠ | 6 | 5 |
| خلاصه≠ | Power analysis for SEM and other multivariate procedures determines the minimum sample size required to detect a model misfit of a specified magnitude with adequate probability. The dominant approach, introduced by MacCallum, Browne, and Sugawara in 1996, expresses effect size as the Root Mean Square Error of Approximation (RMSEA) and derives power from the noncentral chi-square distribution. | 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. |
| ScholarGateمجموعهداده ↗ |
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