Title
Jackknife empirical likelihood test for high-dimensional regression coefficients
Abstract
A novel way to test coefficients in high-dimensional linear regression model is presented. Under the 'large p small n ' situation, the traditional methods, like F -test and t -test, are unsuitable or undefined. The proposed jackknife empirical likelihood test has an asymptotic chi-square distribution and the conditions are much weaker than those in the existing methods. Moreover, an extension of the proposed method can test part of the regression coefficients, which is practical in considering the significance for a subset of covariates. Simulations show that the proposed test has a good control of the type-I error, and is more powerful than Zhong and Chen (2011)'s method in most cases. The proposed test is employed to analyze a rheumatoid arthritis data to find the association between rheumatoid arthritis and the SNPs on the chromosomes 6.
Year
DOI
Venue
2016
10.1016/j.csda.2015.08.012
Computational Statistics & Data Analysis
Keywords
Field
DocType
Jackknife empirical likelihood,High-dimensional analysis,Regression coefficients,Partial test with nuisance parameter,Power,Type-I error rate
Econometrics,Covariate,Score test,Jackknife resampling,Likelihood-ratio test,Empirical likelihood,High dimensional regression,Exact test,Statistics,Mathematics,Linear regression
Journal
Volume
Issue
ISSN
94
C
0167-9473
Citations 
PageRank 
References 
0
0.34
1
Authors
4
Name
Order
Citations
PageRank
Yangguang Zang100.34
zhang262.70
Qizhai Li311.50
Qizhai Li4173.81