University of Illinois Urbana-Champaign

Problems in high-dimensional mediation analysis

Zhou, Ruixuan

Content Files
ZHOU-DISSERTATION-2021.pdf

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https://hdl.handle.net/2142/110660

Description

Title
Problems in high-dimensional mediation analysis
Author(s)
Zhou, Ruixuan
Issue Date
2021-04-16
Director of Research (if dissertation) or Advisor (if thesis)
Zhao, Sihai Dave
Doctoral Committee Chair(s)
Zhao, Sihai Dave
Committee Member(s)
  • Chen, Xiaohui
  • Li, Bo
  • Qu, Annie
Department of Study
Statistics
Discipline
Statistics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2021-09-17T02:34:24Z
Keyword(s)
  • Mediation Analysis
  • High-dimensional Inference
Abstract
A mediation model seeks to identify and explain the mechanism of the direct and indirect effects of an exposure variable on an outcome variable, potentially mediated through several intervening variables. Statistical methods for mediation analysis are well-developed when the number of mediator variables is relatively small, but problems arise when the number of potential mediators exceeds the sample size. In this thesis, we address three problems in linear mediation models in the presence of high-dimensional mediators: estimating and inference for the indirect effect, power analysis for testing total effect, and estimation for the proportion of indirect effect.
Graduation Semester
2021-05
Type of Resource
Thesis
Permalink
http://hdl.handle.net/2142/110660
Copyright and License Information
Copyright 2021 Ruixuan Zhou

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