The ANOVA-Type Inference in Linear Mixed Model with Skew-Normal Error

WU Mixia; ZHAO Jing; WANG Tonghui; ZHAO Yan

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The ANOVA-Type Inference in Linear Mixed Model with Skew-Normal Error

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Linear mixed effect models with skew-normal errors and distribution-free random effects are considered.The ANOVA-type F-tests are proposed to test the significance of random effects and the hypothesis on fixed effects of interest,respectively.Both tests are proved to be exact F-tests under this model,and the exact confidence interval for fixed effects of interest is derived.Simulation results are given to study the powers of ANOVA-type tests.

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《系统科学与复杂性：英文版》 |2017年第3期|710-720|共11页
作者
WU Mixia; ZHAO Jing; WANG Tonghui; ZHAO Yan;
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College of Applied Sciences, Beijing University of Technology, Beijing 100022, China;

College of Applied Sciences, Beijing University of Technology, Beijing 100022, China;

Department of Mathematical Sciences, New Mexico State University, USA;

College of Applied Sciences, Beijing University of Technology, Beijing 100022, China;

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The ANOVA-Type Inference in Linear Mixed Model with Skew-Normal Error

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