Abstract
This article proposes the maximum test for a sequence of quadratic form statistics about score test in logistic regression model which can be applied to genetic and medicine fields. Theoretical properties about the maximum test are derived. Extensive simulation studies are conducted to testify powers robustness of the maximum test compared to other two existed test. We also apply the maximum test to a real dataset about multiple gene variables association analysis.
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This work of Jiayan Zhu is partially supported by seeding project funding (2019ZZX026), scientific research project funding of talent recruitment, and start up funding for scientific research of Hubei University of Chinese Medicine. This work of Zhengbang Li is partially supported by self-determined research funds of Central China Normal University from colleges’ basic research of MOE (CCNU18QN031).
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Yang, Q., Zhu, J. & Li, Z. Maximum Test for a Sequence of Quadratic form Statistics about Score Test in Logistic Regression Model. Acta Math Sci 40, 543–556 (2020). https://doi.org/10.1007/s10473-020-0216-4
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DOI: https://doi.org/10.1007/s10473-020-0216-4