TY - JOUR
T1 - Test size calculation by comparing three binomial proportions
AU - Castro-Alva, José Juan
AU - Almendra-Arao, Félix
AU - Reyes-Cervantes, Hortensia Josefina
AU - Tajonar-Sanabria, Francisco Solano
N1 - Publisher Copyright:
© 2021 Taylor & Francis Group, LLC.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - 3D Barnard convex set
KW - Non-inferiority test
KW - power function
KW - test size
KW - three-arm comparison
UR - http://www.scopus.com/inward/record.url?scp=85119434180&partnerID=8YFLogxK
U2 - 10.1080/03610926.2021.1996605
DO - 10.1080/03610926.2021.1996605
M3 - Artículo
AN - SCOPUS:85119434180
SN - 0361-0926
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
ER -