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Statistical inference for high-dimensional pathway analysis with multiple responses

Author

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  • Liu, Yang
  • Sun, Wei
  • Hsu, Li
  • He, Qianchuan

Abstract

Pathway analysis, i.e., grouping analysis, has important applications in genomic studies. Existing pathway analysis approaches are mostly focused on a single response and are not suitable for analyzing complex diseases that are often related with multiple response variables. Although a handful of approaches have been developed for multiple responses, these methods are mainly designed for pathways with a moderate number of features. A multi-response pathway analysis approach that is able to conduct statistical inference when the dimension is potentially higher than sample size is introduced. Asymptotical properties of the test statistic are established and theoretical investigation of the statistical power is conducted. Simulation studies and real data analysis show that the proposed approach performs well in identifying important pathways that influence multiple expression quantitative trait loci (eQTL).

Suggested Citation

  • Liu, Yang & Sun, Wei & Hsu, Li & He, Qianchuan, 2022. "Statistical inference for high-dimensional pathway analysis with multiple responses," Computational Statistics & Data Analysis, Elsevier, vol. 169(C).
  • Handle: RePEc:eee:csdana:v:169:y:2022:i:c:s0167947321002528
    DOI: 10.1016/j.csda.2021.107418
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    References listed on IDEAS

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    1. Jelle J. Goeman & Sara A. Van De Geer & Hans C. Van Houwelingen, 2006. "Testing against a high dimensional alternative," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(3), pages 477-493, June.
    2. Zhong, Ping-Shou & Chen, Song Xi, 2011. "Tests for High-Dimensional Regression Coefficients With Factorial Designs," Journal of the American Statistical Association, American Statistical Association, vol. 106(493), pages 260-274.
    3. Bin Guo & Song Xi Chen, 2016. "Tests for high dimensional generalized linear models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 78(5), pages 1079-1102, November.
    4. Jelle J. Goeman & Hans C. van Houwelingen & Livio Finos, 2011. "Testing against a high-dimensional alternative in the generalized linear model: asymptotic type I error control," Biometrika, Biometrika Trust, vol. 98(2), pages 381-390.
    5. Yi-Hui Zhou, 2016. "Pathway analysis for RNA-Seq data using a score-based approach," Biometrics, The International Biometric Society, vol. 72(1), pages 165-174, March.
    6. Dehan Kong & Arnab Maity & Fang-Chi Hsu & Jung-Ying Tzeng, 2016. "Testing and estimation in marker-set association study using semiparametric quantile regression kernel machine," Biometrics, The International Biometric Society, vol. 72(2), pages 364-371, June.
    7. Ma, Yingying & Lan, Wei & Wang, Hansheng, 2015. "Testing predictor significance with ultra high dimensional multivariate responses," Computational Statistics & Data Analysis, Elsevier, vol. 83(C), pages 275-286.
    8. Qianchuan He & Yang Liu & Ulrike Peters & Li Hsu, 2018. "Multivariate association analysis with somatic mutation data," Biometrics, The International Biometric Society, vol. 74(1), pages 176-184, March.
    Full references (including those not matched with items on IDEAS)

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