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| Тест за еквивалентност (TOST× | t-тест на Уелч (неравни дисперсии)× | |
|---|---|---|
| Област | Статистика | Статистика |
| Семейство | Hypothesis test | Hypothesis test |
| Година на възникване≠ | 1987 | 1947 |
| Създател≠ | Donald J. Schuirmann | B. L. Welch |
| Тип≠ | Parametric equivalence test | Parametric mean comparison (unequal variances) |
| Основополагащ източник≠ | Schuirmann, D.J. (1987). A Comparison of the Two One-Sided Tests Procedure and the Power Approach for Assessing the Equivalence of Average Bioavailability. Journal of Pharmacokinetics and Biopharmaceutics, 15(6), 657–680. DOI ↗ | Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗ |
| Други названия≠ | TOST, two one-sided tests, bioequivalence test, Eşdeğerlik Testi (TOST — Two One-Sided Tests) | unequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans) |
| Свързани≠ | 5 | 4 |
| Резюме≠ | The equivalence test using the Two One-Sided Tests (TOST) procedure is a parametric hypothesis test designed to demonstrate that the difference between two group means falls within a pre-specified equivalence region ±Δ. Introduced by Schuirmann (1987) in the context of pharmaceutical bioequivalence, TOST reverses the logic of classical null-hypothesis testing: instead of trying to detect a difference, it provides positive evidence of similarity. | 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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