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समतुल्यता परीक्षण (TOST×वेल्च की टी-परीक्षा (असमान प्रसरण)×
क्षेत्रसांख्यिकीसांख्यिकी
परिवारHypothesis testHypothesis test
उद्भव वर्ष19871947
प्रवर्तकDonald J. SchuirmannB. L. Welch
प्रकारParametric equivalence testParametric mean comparison (unequal variances)
मौलिक स्रोतSchuirmann, 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 ↗
उपनामTOST, 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)
संबंधित54
सारांशThe 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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