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|---|---|---|
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application/pdf  ZHOU-DISSERTATION-2021.pdf (1MB) | (no description provided) |
Description
| Title: | Problems in high-dimensional mediation analysis |
| Author(s): | Zhou, Ruixuan |
| Director of Research: | Zhao, Sihai Dave |
| Doctoral Committee Chair(s): | Zhao, Sihai Dave |
| Doctoral Committee Member(s): | Chen, Xiaohui; Li, Bo; Qu, Annie |
| Department / Program: | Statistics |
| Discipline: | Statistics |
| Degree Granting Institution: | University of Illinois at Urbana-Champaign |
| Degree: | Ph.D. |
| Genre: | Dissertation |
| Subject(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. |
| Issue Date: | 2021-04-16 |
| Type: | Thesis |
| URI: | http://hdl.handle.net/2142/110660 |
| Rights Information: | Copyright 2021 Ruixuan Zhou |
| Date Available in IDEALS: | 2021-09-17 |
| Date Deposited: | 2021-05 |
This item appears in the following Collection(s)
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois