Test size calculation by comparing three binomial proportions

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...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2023-07, Vol.52 (13), p.4578-4589
Main Authors: Castro-Alva, José Juan, Almendra-Arao, Félix, Reyes-Cervantes, Hortensia Josefina, Tajonar-Sanabria, Francisco Solano
Format: Article
Language:English
Subjects:
3D Barnard convex set
Convexity
Likelihood ratio
Non-inferiority test
power function
test size
three-arm comparison
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Summary: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.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2021.1996605