Test size calculation by comparing three binomial proportions

José Juan Castro-Alva, Félix Almendra-Arao, Hortensia Josefina Reyes-Cervantes and Francisco Solano Tajonar-Sanabria

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 13, 4578-4589

Abstract: For non-inferiority tests in three-arm comparisons, we establish a theorem affirming that if the rejection region is a three-dimensional Barnard convex set, then the test size is the maximum of the power function over the boundary of the null space. To illustrate this, we present two examples using the likelihood ratio test for two margin functions.

Date: 2023
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DOI: 10.1080/03610926.2021.1996605

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