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| Multivariate Analysis of Covariance (MANCOVA)× | t-test po Velču (nejednake varijanse)× | |
|---|---|---|
| Oblast | Statistika | Statistika |
| Porodica | Hypothesis test | Hypothesis test |
| Godina nastanka≠ | 1970 | 1947 |
| Tvorac≠ | Extension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980s | B. L. Welch |
| Tip≠ | Parametric multivariate mean comparison with covariate control | Parametric mean comparison (unequal variances) |
| Temeljni izvor≠ | Tabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541 | Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗ |
| Drugi nazivi≠ | MANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analizi | unequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans) |
| Srodne≠ | 5 | 4 |
| Sažetak≠ | MANCOVA (Multivariate Analysis of Covariance) is a parametric hypothesis test that simultaneously compares two or more groups on multiple continuous dependent variables while statistically controlling for one or more covariates. It extends MANOVA by incorporating covariate adjustment, a tradition consolidated in multivariate statistical methodology by the 1970s and authoritatively documented by Tabachnick and Fidell (2019). | Welch's t-test is a parametric hypothesis test that compares the means of two independent groups without assuming their variances are equal. It was introduced by B. L. Welch in 1947 as a more robust generalization of Student's two-sample test for situations where the two groups have different spread. |
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