Evidence map›Paper›PMID 31452551›Full record

ArticleAnnals of statistics2019

TEST FOR HIGH DIMENSIONAL CORRELATION MATRICES.

Shurong Zheng, Guanghui Cheng, Jianhua Guo, Hongtu Zhu

Abstract read
In one paragraph

Article in Annals of statistics, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.

0numbers the graph read from it
0cells of the map it votes in
5citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

5 citing papers in PubMed.

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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Shurong ZhengKLAS and School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin, China zhengsr@nenu.edu.cn.
Guanghui ChengSchool of Economics and Statistics, Guangzhou University, Guangzhou, China chenggh845@nenu.edu.cn.
Jianhua GuoKLAS and School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin, China jhguo@nenu.edu.cn.
Hongtu ZhuDepartment of Biostatistics, The University of North Carolina at Chapel Hill Chapel Hill, NC, USA htzhu@email.unc.edu.

Funding

Statistical Analysis of Biomedical Imaging Data in Curved SpaceR01MH086633 · NIMH · UNIV OF NORTH CAROLINA CHAPEL HILL · PI IBRAHIM, JOSEPH G · 2010 to 2018
$2.9M
Analysis of Big Data Squared in Biomedical StudiesR01MH116527 · NIMH · YALE UNIVERSITY · PI ZHANG, HEPING · 2018 to 2022
$2.3M
NIMH NIH HHS R01 MH086633NIMH NIH HHS R01 MH116527
6 · The paper itself

Abstract

Testing correlation structures has attracted extensive attention in the literature due to both its importance in real applications and several major theoretical challenges. The aim of this paper is to develop a general framework of testing correlation structures for the one-, two-, and multiple sample testing problems under a high-dimensional setting when both the sample size and data dimension go to infinity. Our test statistics are designed to deal with both the dense and sparse alternatives. We systematically investigate the asymptotic null distribution, power function, and unbiasedness of each test statistic. Theoretically, we make great efforts to deal with the non-independency of all random matrices of the sample correlation matrices. We use simulation studies and real data analysis to illustrate the versatility and practicability of our test statistics.

Indexed as

Dense alternativesGlobal testingMSC 2010 subject classificationsPrimary 62H15Sample correlation matricessecondary 62H10Sparse alternatives

Identifiers

PMID31452551
PMCPMC6709985

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.