পদ্ধতির তুলনা করুন
নির্বাচিত পদ্ধতিগুলো পাশাপাশি পর্যালোচনা করুন; যে সারিগুলোয় পার্থক্য আছে সেগুলো চিহ্নিত করা হয়।
| বেয়েশীয় ম্যানোভা (Bayesian MANOVA)× | মাল্টিভেরিয়েট অ্যানালাইসিস অফ ভ্যারিয়েন্স (MANOVA)× | |
|---|---|---|
| ক্ষেত্র | পরিসংখ্যান | পরিসংখ্যান |
| পরিবার | Hypothesis test | Hypothesis test |
| উদ্ভবের বছর≠ | 1970s–2010s | 1932 |
| প্রবর্তক≠ | Bayesian framework applied to MANOVA; foundational multivariate Bayesian work by Dickey (1974) and Rouder et al. (2012) | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) |
| ধরন≠ | Bayesian multivariate group comparison | Parametric multivariate mean comparison |
| মৌলিক উৎস≠ | Olkin, I., & Rubin, H. (1964). Multivariate beta distributions and independence properties of the Wishart distribution. The Annals of Mathematical Statistics, 35(1), 261–269. DOI ↗ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 |
| অপর নাম≠ | Bayesian MANOVA, Bayesian multivariate ANOVA, BF-MANOVA, Bayesian multivariate group comparison | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) |
| সম্পর্কিত | 5 | 5 |
| সারসংক্ষেপ≠ | Bayesian Multivariate Analysis of Variance (Bayesian MANOVA) extends the classical MANOVA framework by replacing null-hypothesis significance testing with Bayesian inference. It uses prior distributions on multivariate group means and covariance structures, updates them with data to yield posterior distributions, and quantifies evidence through Bayes factors rather than p-values. | 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. |
| ScholarGateডেটাসেট ↗ |
|
|