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- Title
Two-sample empirical likelihood ratio tests for medians in application to biomarker evaluations.
- Authors
Yu, Jihnhee; Vexler, Albert; Kim, Seong-Eun; Hutson, Alan D.
- Abstract
The median is a commonly used parameter to characterize biomarker data. In particular, with two vastly different underlying distributions, comparing medians provides different information than comparing means; however, very few tests for medians are available. We propose a series of two-sample median-specific tests using empirical likelihood methodology and investigate their properties. We present the technical details of incorporating the relevant constraints into the empirical likelihood function for in-depth median testing. An extensive Monte Carlo study shows that the proposed tests have excellent operating characteristics even under unfavourable occasions such as non-exchangeability under the null hypothesis. We apply the proposed methods to analyze biomarker data from Western blot analysis to compare normal cells with bronchial epithelial cells from a case-control study. The Canadian Journal of Statistics 39: 671-689; 2011. © 2011 Statistical Society of Canada
- Subjects
BIOMARKERS; EPITHELIAL cells; EXFOLIATIVE cytology; STANDARD deviations; STATISTICS
- Publication
Canadian Journal of Statistics, 2011, Vol 39, Issue 4, p671
- ISSN
0319-5724
- Publication type
Article
- DOI
10.1002/cjs.10108