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Exact and Asymptotic Power Determination For Dose-Response Studies With Ordinal Response
Abstract
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.
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“Tang [18] compared the asymptotic, conditional, and conditional mid-p score test for ordered r × c tables and found that the mid-p score test was the most powerful, with the actual significance level close to the nominal level.”
From Choice of test for association in small sample unordered r × c tables (2007) · cites this paper as [18]
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Wehner, R., Fukushi, T., & Isler, K. (2007) · Brain, Behavior and Evolution · doi:10.1159/000097057 · Cited by 89
Self-citationChoice of test for association in small sample unordered r × c tables
Lydersen, S., Pradhan, V., Senchaudhuri, P., & Laake, P. (2007) · Statistics in Medicine · doi:10.1002/sim.2839 · Cited by 48
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- Authors
- Tang, M.-L.
- Venue
- Biometrical Journal
- Published
- 2002
- References
- 0
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- Tang, M.-L. (2002). Exact and Asymptotic Power Determination For Dose-Response Studies With Ordinal Response. Biometrical Journal. https://doi.org/10.1002/1521-4036(200204)44%3A3
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