MAXIMUM TEST FOR A SEQUENCE OF QUADRATIC FORM STATISTICS ABOUT SCORE TEST IN LOGISTIC REGRESSION MODEL

doi:10.1007/s10473-020-0216-4

Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (2): 543-556.doi: 10.1007/s10473-020-0216-4

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MAXIMUM TEST FOR A SEQUENCE OF QUADRATIC FORM STATISTICS ABOUT SCORE TEST IN LOGISTIC REGRESSION MODEL

Qing YANG¹, Jiayan ZHU², Zhengbang LI³

1. School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China;
2. School of Information Engineering, Hubei University of Chinese Medicine, Wuhan 430065, China;
3. School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China

Received:2019-05-13 Revised:2019-07-14 Online:2020-04-25 Published:2020-05-26
Contact: Jiayan ZHU E-mail:zhujiayan999@163.com
Supported by:
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).

Abstract

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.

Key words: Maximum test, quadratic form statistics, score test, asymptotic statistical property

CLC Number:

62F03

Qing YANG, Jiayan ZHU, Zhengbang LI. MAXIMUM TEST FOR A SEQUENCE OF QUADRATIC FORM STATISTICS ABOUT SCORE TEST IN LOGISTIC REGRESSION MODEL[J].Acta mathematica scientia,Series B, 2020, 40(2): 543-556.

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MAXIMUM TEST FOR A SEQUENCE OF QUADRATIC FORM STATISTICS ABOUT SCORE TEST IN LOGISTIC REGRESSION MODEL

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