পদ্ধতির তুলনা করুন
নির্বাচিত পদ্ধতিগুলো পাশাপাশি পর্যালোচনা করুন; যে সারিগুলোয় পার্থক্য আছে সেগুলো চিহ্নিত করা হয়।
| সহ 개의 변수 분석 (ANCOVA)× | হোটেলিং-এর T² পরীক্ষা× | মাল্টিভেরিয়েট অ্যানালাইসিস অফ ভ্যারিয়েন্স (MANOVA)× | |
|---|---|---|---|
| ক্ষেত্র | পরিসংখ্যান | পরিসংখ্যান | পরিসংখ্যান |
| পরিবার | Hypothesis test | Hypothesis test | Hypothesis test |
| উদ্ভবের বছর≠ | 1932 | 1931 | 1932 |
| প্রবর্তক≠ | Ronald A. Fisher | Harold Hotelling | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) |
| ধরন≠ | Parametric group comparison with covariate control | Multivariate parametric mean comparison | Parametric multivariate mean comparison |
| মৌলিক উৎস≠ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 |
| অপর নাম≠ | analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi) | Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) |
| সম্পর্কিত≠ | 4 | 6 | 5 |
| সারসংক্ষেপ≠ | 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). | Hotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix. | 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 ↗ |
|
|
|