Details
Original language | English |
---|---|
Pages (from-to) | 403-412 |
Number of pages | 10 |
Journal | Computational Statistics and Data Analysis |
Volume | 30 |
Issue number | 4 |
Publication status | Published - 28 Jun 1999 |
Abstract
The Cochran-Armitage test is a widely used test for trend among binomial proportions of a dose-response relationship. This test requires preassigned fixed dose scores. Equally spaced scores were usually suggested if the dose-dependent shape of the binomial proportions is a priori unknown. Another approach is the construction of a maximin efficiency robust test. We recommend a combination of Cochran-Armitage tests based on different scores and the use of the maximum of the test statistics for a new test. Simulation results suggest that this combined test is superior to both the single test with equally spaced scores and the maximin efficiency robust test. The methods are applied to data of a toxicity and a tumorigenicity study with a stratified design.
Keywords
- Cochran-Armitage trend test, Dichotomous endpoint, Dose-response shape, Order restricted alternative, Stratified test
ASJC Scopus subject areas
- Mathematics(all)
- Statistics and Probability
- Mathematics(all)
- Computational Mathematics
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational Statistics and Data Analysis, Vol. 30, No. 4, 28.06.1999, p. 403-412.
Research output: Contribution to journal › Article › Research › peer review
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TY - JOUR
T1 - An exact Cochran-Armitage test for trend when dose-response shapes are a priori unknown
AU - Neuhäuser, Markus
AU - Hothorn, Ludwig A.
PY - 1999/6/28
Y1 - 1999/6/28
N2 - The Cochran-Armitage test is a widely used test for trend among binomial proportions of a dose-response relationship. This test requires preassigned fixed dose scores. Equally spaced scores were usually suggested if the dose-dependent shape of the binomial proportions is a priori unknown. Another approach is the construction of a maximin efficiency robust test. We recommend a combination of Cochran-Armitage tests based on different scores and the use of the maximum of the test statistics for a new test. Simulation results suggest that this combined test is superior to both the single test with equally spaced scores and the maximin efficiency robust test. The methods are applied to data of a toxicity and a tumorigenicity study with a stratified design.
AB - The Cochran-Armitage test is a widely used test for trend among binomial proportions of a dose-response relationship. This test requires preassigned fixed dose scores. Equally spaced scores were usually suggested if the dose-dependent shape of the binomial proportions is a priori unknown. Another approach is the construction of a maximin efficiency robust test. We recommend a combination of Cochran-Armitage tests based on different scores and the use of the maximum of the test statistics for a new test. Simulation results suggest that this combined test is superior to both the single test with equally spaced scores and the maximin efficiency robust test. The methods are applied to data of a toxicity and a tumorigenicity study with a stratified design.
KW - Cochran-Armitage trend test
KW - Dichotomous endpoint
KW - Dose-response shape
KW - Order restricted alternative
KW - Stratified test
UR - http://www.scopus.com/inward/record.url?scp=0032687375&partnerID=8YFLogxK
U2 - 10.1016/S0167-9473(98)00091-7
DO - 10.1016/S0167-9473(98)00091-7
M3 - Article
AN - SCOPUS:0032687375
VL - 30
SP - 403
EP - 412
JO - Computational Statistics and Data Analysis
JF - Computational Statistics and Data Analysis
SN - 0167-9473
IS - 4
ER -