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Weighted step-down confidence procedures with applications to gene expression data

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  • Yang Yu
  • John T. Chen
  • Arthur B. Yeh

Abstract

It is critical to incorporate additional information of parameters into the simultaneous estimation process. In this paper, we propose a new confidence method that utilizes the information on parameter priority and keeps the elegance and simplicity of Holm’s weighted testing procedure. The new method is grounded on the method of random partitions, in conjunction with probability inequalities, to ensure the control of the simultaneous confidence level. Simulation studies show significant power improvements for appropriately assigned weights. The new confidence method casts new lights on differential gene expression among mutant genes that are associated with BRCA1 and BRCA2 proteins in the DNA repair process.

Suggested Citation

  • Yang Yu & John T. Chen & Arthur B. Yeh, 2022. "Weighted step-down confidence procedures with applications to gene expression data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(8), pages 2343-2356, April.
  • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:8:p:2343-2356
    DOI: 10.1080/03610926.2020.1772983
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    Cited by:

    1. Yehan Ma & Arthur B. Yeh & John T. Chen, 2023. "Simultaneous Confidence Regions and Weighted Hypotheses on Parameter Arrays," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-18, June.

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