Barnard convex sets

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Resumen

In calculating significance levels for statistical non inferiority tests, the critical regions that satisfy the Barnard convexity condition have a central role. According to a theorem proved by Rohmel and Mansmann (1999), when the critical regions satisfy this condition, the significance level for non inferiority tests can be calculated much more efficiently. In this study, the sets that fulfil the Barnard convexity condition are called Barnard convex sets, and because of their relevance, we studied their properties independently of the context from which the sets originated. Among several results, we found that Barnard convex sets are a convex geometry and that each Barnard convex set has a unique basis. Also, we provide an algorithm for calculating the Barnard convex hull of any set. Finally, we present some applications of the concept of the Barnard convex hull of a set for non inferiority tests.

Idioma originalInglés
Páginas (desde-hasta)2574-2582
Número de páginas9
PublicaciónCommunications in Statistics - Theory and Methods
Volumen40
N.º14
DOI
EstadoPublicada - ene. 2011

Huella

Profundice en los temas de investigación de 'Barnard convex sets'. En conjunto forman una huella única.

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