{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/110660"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/110660","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Problems in high-dimensional mediation analysis","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Zhou, Ruixuan"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Statistics","degree_department":null,"school":null,"contributors":["Zhao, Sihai Dave","Chen, Xiaohui","Li, Bo","Qu, Annie"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021-09-17T02:34:24Z","date_published":"2021-09-17T02:34:24Z","updated_at":"2026-07-22T22:24:52Z","subjects":["Mediation Analysis","High-dimensional Inference"],"languages":["en"],"rights":["Copyright 2021 Ruixuan Zhou"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/110660","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Zhao, Sihai Dave","Chen, Xiaohui","Li, Bo","Qu, Annie"]},{"key":"dc:creator","label":"Author","values":["Zhou, Ruixuan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2021-09-17T02:34:24Z","2023-09-17T02:34:57Z","2021-04-16","2021-05"]},{"key":"dc:type","label":"Dc Type","values":["text","Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Statistics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mediation Analysis","High-dimensional Inference"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2021 Ruixuan Zhou"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/110660"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2023-05-01","The student, Ruixuan Zhou, accepted the attached license on 2021-04-12 at 21:55.","The student, Ruixuan Zhou, submitted this Dissertation for approval on 2021-04-12 at 22:38.","This Dissertation was approved for publication on 2021-04-16 at 14:35.","DSpace SAF Submission Ingestion Package generated from Vireo submission #16295 on 2021-09-16 at 17:02:58","Made available in DSpace on 2021-09-17T02:34:24Z (GMT). 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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.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2023-05-01","The student, Ruixuan Zhou, accepted the attached license on 2021-04-12 at 21:55.","The student, Ruixuan Zhou, submitted this Dissertation for approval on 2021-04-12 at 22:38.","This Dissertation was approved for publication on 2021-04-16 at 14:35.","DSpace SAF Submission Ingestion Package generated from Vireo submission #16295 on 2021-09-16 at 17:02:58","Made available in DSpace on 2021-09-17T02:34:24Z (GMT). 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