atheoreticstudyofadistancebasedregressionmodel

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	atheoreticstudyofadistancebasedregressionmodel
	Jialu Li 1; Wei Zhang 2; Sanguo Zhang 3; Qizhai Li 5
	2019
发表期刊	中国科学数学英文版
ISSN	1674-7283
卷号	000 期号:005 页码:979
摘要	The distance-based regression model has many applications in analysis of multivariate response regression in various ?elds, such as ecology, genomics, genetics, human microbiomics, and neuroimaging. It yields a pseudo F test statistic that assesses the relation between the distance(dissimilarity) of the subjects and the predictors of interest. Despite its popularity in recent decades, the statistical properties of the pseudo F test statistic have not been revealed to our knowledge. This study derives the asymptotic properties of the pseudo F test statistic using spectral decomposition under the matrix normal assumption, when the utilized dissimilarity measure is the Euclidean or Mahalanobis distance. The pseudo F test statistic with the Euclidean distance has the same distribution as the quotient of two Chi-squared-type mixtures. The denominator and numerator of the quotient are approximated using a random variable of the form ξχ_d~2+ η, and the approximate error bound is given. The pseudo F test statistic with the Mahalanobis distance follows an F distribution.In simulation studies, the approximated distribution well matched the 'exact' distribution obtained by the permutation procedure. The obtained distribution was further validated on H1N1 in?uenza data, aging human brain data, and embryonic imprint data.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/45001
专题	中国科学院数学与系统科学研究院
作者单位	1.School of Mathematics and Statistics,Beijing Institute of Technology 2.Biostatistics and Bioinformatics Branch,National Institute of Child Health and Human Development,Bethesda,USA 3.中国科学院 4.Key Laboratory of Big Data Mining and Knowledge Management,Chinese Academy of Sciences 5.LSC,NCMIS,Academy of Mathematics and Systems Science,Chinese Academy of Sciences
推荐引用方式 GB/T 7714	Jialu Li,Wei Zhang,Sanguo Zhang,et al. atheoreticstudyofadistancebasedregressionmodel[J]. 中国科学数学英文版,2019,000(005):979.
APA	Jialu Li,Wei Zhang,Sanguo Zhang,&Qizhai Li.(2019).atheoreticstudyofadistancebasedregressionmodel.中国科学数学英文版,000(005),979.
MLA	Jialu Li,et al."atheoreticstudyofadistancebasedregressionmodel".中国科学数学英文版 000.005(2019):979.