{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T19:37:01Z","timestamp":1773517021846,"version":"3.50.1"},"reference-count":33,"publisher":"Oxford University Press (OUP)","issue":"4","funder":[{"DOI":"10.13039\/100011541","name":"National Cancer Institute, Division of Cancer Epidemiology and Genetics","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100011541","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,4,3]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:sec>\n                  <jats:title>Motivation<\/jats:title>\n                  <jats:p>Researchers usually conduct statistical analyses based on models built on raw data collected from individual participants (individual-level data). There is a growing interest in enhancing inference efficiency by incorporating aggregated summary information from other sources, such as summary statistics on genetic markers\u2019 marginal associations with a given trait generated from genome-wide association studies. However, combining high-dimensional summary data with individual-level data using existing integrative procedures can be challenging due to various numeric issues in optimizing an objective function over a large number of unknown parameters.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Results<\/jats:title>\n                  <jats:p>We develop a procedure to improve the fitting of a targeted statistical model by leveraging external summary data for more efficient statistical inference (both effect estimation and hypothesis testing). To make this procedure scalable to high-dimensional summary data, we propose a divide-and-conquer strategy by breaking the task into easier parallel jobs, each fitting the targeted model by integrating the individual-level data with a small proportion of summary data. We obtain the final estimates of model parameters by pooling results from multiple fitted models through the minimum distance estimation procedure. We improve the procedure for a general class of additive models commonly encountered in genetic studies. We further expand these two approaches to integrate individual-level and high-dimensional summary data from different study populations. We demonstrate the advantage of the proposed methods through simulations and an application to the study of the effect on pancreatic cancer risk by the polygenic risk score defined by BMI-associated genetic markers.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Availability and implementation<\/jats:title>\n                  <jats:p>R package is available at https:\/\/github.com\/fushengstat\/MetaGIM.<\/jats:p>\n               <\/jats:sec>","DOI":"10.1093\/bioinformatics\/btad156","type":"journal-article","created":{"date-parts":[[2023,3,25]],"date-time":"2023-03-25T10:56:25Z","timestamp":1679741785000},"source":"Crossref","is-referenced-by-count":3,"title":["Integrative analysis of individual-level data and high-dimensional summary statistics"],"prefix":"10.1093","volume":"39","author":[{"given":"Sheng","family":"Fu","sequence":"first","affiliation":[{"name":"Division of Cancer Epidemiology and Genetics, National Cancer Institute , Bethesda, MD 20892, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lu","family":"Deng","sequence":"additional","affiliation":[{"name":"School of Statistics and Data Science, Nankai University , Tianjin 300071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Han","family":"Zhang","sequence":"additional","affiliation":[{"name":"Division of Cancer Epidemiology and Genetics, National Cancer Institute , Bethesda, MD 20892, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"William","family":"Wheeler","sequence":"additional","affiliation":[{"name":"Information Management Services, Inc , Bethesda, MD 20892, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Qin","sequence":"additional","affiliation":[{"name":"National Institute of Allergy and Infectious Diseases, National Institutes of Health , Bethesda, MD 20892, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5337-137X","authenticated-orcid":false,"given":"Kai","family":"Yu","sequence":"additional","affiliation":[{"name":"Division of Cancer Epidemiology and Genetics, National Cancer Institute , Bethesda, MD 20892, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2023,3,25]]},"reference":[{"key":"2023072115420122900_btad156-B1","doi-asserted-by":"crossref","first-page":"986","DOI":"10.1038\/ng.429","article-title":"Genome-wide association study identifies variants in the ABO locus associated with susceptibility to pancreatic cancer","volume":"41","author":"Amundadottir","year":"2009","journal-title":"Nat Genet"},{"key":"2023072115420122900_btad156-B2","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1038\/ng.3211","article-title":"LD score regression distinguishes confounding from polygenicity in genome-wide association 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