Statistics – Applications
Scientific paper
2011-01-07
Annals of Applied Statistics 2010, Vol. 4, No. 4, 2114-2125
Statistics
Applications
Published in at http://dx.doi.org/10.1214/10-AOAS347 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Ins
Scientific paper
10.1214/10-AOAS347
The statistical tests that are commonly used for detecting mean or median treatment effects suffer from low power when the two distribution functions differ only in the upper (or lower) tail, as in the assessment of the Total Sharp Score (TSS) under different treatments for rheumatoid arthritis. In this article, we propose a more powerful test that detects treatment effects through the expected shortfalls. We show how the expected shortfall can be adjusted for covariates, and demonstrate that the proposed test can achieve a substantial sample size reduction over the conventional tests on the mean effects.
He Xuming
Hsu Ya-Hui
Hu Mingxiu
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