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Exact and Asymptotic Power Determination For Dose‐Response Studies With Ordinal Response
Author(s) -
Tang ManLai
Publication year - 2002
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/1521-4036(200204)44:3<273::aid-bimj273>3.0.co;2-3
Subject(s) - mathematics , exact test , statistics , asymptotic analysis , monotone polygon , sample size determination , score test , test (biology) , ordinal data , statistical hypothesis testing , paleontology , geometry , biology
In this article, we describe a conditional score test for detecting a monotone dose‐response relationship with ordinal response data. We consider three different versions of this test: asymptotic, conditional exact, and mid‐P conditional score test. Exact and asymptotic power formulae based on these tests will be studied. Asymptotic sample size formulae based on the asymptotic conditional score test will be derived. The proposed formulae are applied to a vaccination study and a developmental toxicity study for illustrative purposes. Actual significance level and exact power properties of these tests are compared in a small empirical study. The mid‐P conditional score test is observed to be the most powerful test with actual significance level close to the pre‐specified nominal level.