4.3 Article

LARGE-SCALE SIMULTANEOUS TESTING OF CROSS-COVARIANCE MATRICES WITH APPLICATIONS TO PheWAS

期刊

STATISTICA SINICA
卷 29, 期 2, 页码 983-1005

出版社

STATISTICA SINICA
DOI: 10.5705/ss.202017.0189

关键词

Covariance; false discovery rate; multiple responses; multiple testing; PheWAS

资金

  1. NIH [U54 H6007963, R01 CA127334, K08AR060257]
  2. NSF [DMS-1208982, DMS-1403708]
  3. NSFC [11201298, 11 322107, 11431006]
  4. Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning
  5. Shanghai Pujiang Program
  6. Foundation for the Author of National Excellent Doctoral Dissertation of PR China
  7. 973 Program [2015CB856004]
  8. Australian Research Council

向作者/读者索取更多资源

Motivated by applications in phenome-wide association studies (PheWAS), we consider in this paper simultaneous testing of columns of high-dimensional cross-covariance matrices and develop a multiple testing procedure with theoretical guarantees. It is shown that the proposed testing procedure maintains a desired false discovery rate (FDR) and false discovery proportion (FDP) under mild regularity conditions. We also provide results on the magnitudes of the signals that can be detected with high power. Simulation studies demonstrate that the proposed procedure can be substantially more powerful than existing FDR controlling procedures in the presence of correlation of unknown structure. The proposed multiple testing procedure is applied to a PheWAS of two auto-immune genetic markers using a rheumatoid arthritis patient cohort constructed from the electronic medical records of Partners Healthcare System.

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