{"id":"https://openalex.org/W2096930309","doi":"https://doi.org/10.1002/sim.6281","title":"Testing departure from additivity in Tukey's model using shrinkage: application to a longitudinal setting","display_name":"Testing departure from additivity in Tukey's model using shrinkage: application to a longitudinal setting","publication_year":2014,"publication_date":"2014-08-11","ids":{"openalex":"https://openalex.org/W2096930309","doi":"https://doi.org/10.1002/sim.6281","mag":"2096930309","pmid":"https://pubmed.ncbi.nlm.nih.gov/25112650","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/4227925"},"language":"en","primary_location":{"id":"doi:10.1002/sim.6281","doi":"https://doi.org/10.1002/sim.6281","is_oa":false,"landing_page_url":"https://doi.org/10.1002/sim.6281","pdf_url":null,"source":{"id":"https://openalex.org/S55189604","display_name":"Statistics in Medicine","issn_l":"0277-6715","issn":["0277-6715","1097-0258"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-2","ki-jl-2","medline","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics in Medicine","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4227925","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079707625","display_name":"Yi\u2010An Ko","orcid":"https://orcid.org/0000-0002-6543-9765","observed_orcids":["https://orcid.org/0000-0002-6543-9765"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yi\u2010An Ko","raw_affiliation_strings":["Department of Biostatistics, University of Michigan, Ann Arbor, MI, 48109 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biostatistics, University of Michigan, Ann Arbor, MI, 48109 U.S.A","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082251592","display_name":"Bhramar Mukherjee","orcid":"https://orcid.org/0000-0003-0118-4561","observed_orcids":["https://orcid.org/0000-0003-0118-4561"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bhramar Mukherjee","raw_affiliation_strings":["Department of Biostatistics, University of Michigan, Ann Arbor, MI, 48109 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biostatistics, University of Michigan, Ann Arbor, MI, 48109 U.S.A","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060175597","display_name":"Jennifer A. Smith","orcid":"https://orcid.org/0000-0002-3575-5468","observed_orcids":["https://orcid.org/0000-0002-3575-5468","https://orcid.org/0000-0001-7717-2642"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jennifer A. Smith","raw_affiliation_strings":["Department of Epidemiology, University of Michigan, Ann Arbor, MI, 48109 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Epidemiology, University of Michigan, Ann Arbor, MI, 48109 U.S.A","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065187501","display_name":"Sung Kyun Park","orcid":"https://orcid.org/0000-0001-9981-6250","observed_orcids":["https://orcid.org/0000-0001-9981-6250"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sung Kyun Park","raw_affiliation_strings":["Department of Environmental Health Sciences, University of Michigan, Ann Arbor, MI, 48109 U.S.A","Department of Epidemiology, University of Michigan, Ann Arbor, MI, 48109 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Environmental Health Sciences, University of Michigan, Ann Arbor, MI, 48109 U.S.A","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Epidemiology, University of Michigan, Ann Arbor, MI, 48109 U.S.A","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108398642","display_name":"Sharon L. R. Kardia","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sharon L.\u2009R. Kardia","raw_affiliation_strings":["Department of Epidemiology, University of Michigan, Ann Arbor, MI, 48109 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Epidemiology, University of Michigan, Ann Arbor, MI, 48109 U.S.A","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021361864","display_name":"Matthew Allison","orcid":"https://orcid.org/0000-0003-0777-8272","observed_orcids":["https://orcid.org/0000-0003-0777-8272"]},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew A. Allison","raw_affiliation_strings":["Department of Family and Preventive Medicine, University of California, San Diego, CA, 92093 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Family and Preventive Medicine, University of California, San Diego, CA, 92093 U.S.A","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033355210","display_name":"Pantel Vokonas","orcid":"https://orcid.org/0000-0002-3639-035X","observed_orcids":["https://orcid.org/0000-0002-3639-035X"]},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]},{"id":"https://openalex.org/I2801671727","display_name":"VA Boston Healthcare System","ror":"https://ror.org/04v00sg98","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1322918889","https://openalex.org/I2799886695","https://openalex.org/I2801671727","https://openalex.org/I4210095851"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pantel S. Vokonas","raw_affiliation_strings":["Department of Epidemiology, Boston University, Boston, MA, 02118 U.S.A","Department of Medicine, Boston University, Boston, MA, 02118 U.S.A","VA Normative Aging Study, Veterans Affairs Boston Healthcare System, Jamaica Plain, MA, 02130 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Epidemiology, Boston University, Boston, MA, 02118 U.S.A","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Department of Medicine, Boston University, Boston, MA, 02118 U.S.A","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"VA Normative Aging Study, Veterans Affairs Boston Healthcare System, Jamaica Plain, MA, 02130 U.S.A","institution_ids":["https://openalex.org/I2801671727"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100666551","display_name":"Jinbo Chen","orcid":"https://orcid.org/0000-0003-3174-2552","observed_orcids":["https://orcid.org/0000-0003-3174-2552"]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jinbo Chen","raw_affiliation_strings":["Department of Biostatistics and Epidemiology, University of Pennsylvania, Philadelphia, PA, 19104 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biostatistics and Epidemiology, University of Pennsylvania, Philadelphia, PA, 19104 U.S.A","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069987621","display_name":"Ana Victoria Diez Roux","orcid":"https://orcid.org/0000-0001-9658-7050","observed_orcids":["https://orcid.org/0000-0001-9658-7050"]},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ana V. Diez\u2010Roux","raw_affiliation_strings":["Drexel University School of Public Health, Philadelphia, PA, 19104 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Drexel University School of Public Health, Philadelphia, PA, 19104 U.S.A","institution_ids":["https://openalex.org/I72816309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5079707625"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":{"value":5450,"currency":"USD","value_usd":5450},"apc_paid":null,"fwci":0.3293,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65637282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"33","issue":"29","first_page":"5177","last_page":"5191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.5727999806404114,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.5727999806404114,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10261","display_name":"Genetic Associations and Epidemiology","score":0.24040000140666962,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.051600001752376556,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gene-environment-interaction","display_name":"gene-environment interaction","score":0.9990000128746033},{"id":"https://openalex.org/keywords/non-additivity","display_name":"non-additive effects","score":0.8270000219345093},{"id":"https://openalex.org/keywords/shrinkage-estimation","display_name":"shrinkage estimation","score":0.8529999852180481},{"id":"https://openalex.org/keywords/wald-test","display_name":"Wald test","score":0.7870000004768372},{"id":"https://openalex.org/keywords/model-misspecification","display_name":"model misspecification","score":0.8519999980926514},{"id":"https://openalex.org/keywords/longitudinal-data","display_name":"longitudinal data","score":0.7269999980926514},{"id":"https://openalex.org/keywords/robust-estimation","display_name":"robust estimation","score":0.4729999899864197},{"id":"https://openalex.org/keywords/normative-aging-study","display_name":"Normative Aging Study","score":0.859000027179718},{"id":"https://openalex.org/keywords/multi-ethnic-study-of-atherosclerosis","display_name":"Multi-Ethnic Study of Atherosclerosis","score":0.9599999785423279}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5726826190948486},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.5687243938446045},{"id":"https://openalex.org/C855514","wikidata":"https://www.wikidata.org/wiki/Q1665869","display_name":"Interaction","level":2,"score":0.5447595119476318},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5260859727859497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49548542499542236},{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.4925752282142639},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.4534076750278473},{"id":"https://openalex.org/C203274628","wikidata":"https://www.wikidata.org/wiki/Q748664","display_name":"Wald test","level":3,"score":0.44246146082878113},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4011227488517761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3757675290107727},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.3241422176361084}],"mesh":[{"descriptor_ui":"D000368","descriptor_name":"Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000369","descriptor_name":"Aged, 80 and over","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000375","descriptor_name":"Aging","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001842","descriptor_name":"Bone and Bones","qualifier_ui":"Q000187","qualifier_name":"drug effects","is_major_topic":false},{"descriptor_ui":"D001842","descriptor_name":"Bone and Bones","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004781","descriptor_name":"Environmental Exposure","qualifier_ui":"Q000009","qualifier_name":"adverse effects","is_major_topic":true},{"descriptor_ui":"D004781","descriptor_name":"Environmental Exposure","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D005006","descriptor_name":"Ethnicity","qualifier_ui":"Q000235","qualifier_name":"genetics","is_major_topic":false},{"descriptor_ui":"D005006","descriptor_name":"Ethnicity","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007501","descriptor_name":"Iron","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D007854","descriptor_name":"Lead","qualifier_ui":"Q000009","qualifier_name":"adverse effects","is_major_topic":true},{"descriptor_ui":"D007854","descriptor_name":"Lead","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D008137","descriptor_name":"Longitudinal Studies","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008297","descriptor_name":"Male","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008875","descriptor_name":"Middle Aged","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008957","descriptor_name":"Models, Genetic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014481","descriptor_name":"United States","qualifier_ui":"Q000453","qualifier_name":"epidemiology","is_major_topic":false},{"descriptor_ui":"D014493","descriptor_name":"United States Department of Veterans Affairs","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016013","descriptor_name":"Likelihood Functions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016018","descriptor_name":"Least-Squares Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D050197","descriptor_name":"Atherosclerosis","qualifier_ui":"Q000208","qualifier_name":"ethnology","is_major_topic":false},{"descriptor_ui":"D050197","descriptor_name":"Atherosclerosis","qualifier_ui":"Q000209","qualifier_name":"etiology","is_major_topic":true},{"descriptor_ui":"D050197","descriptor_name":"Atherosclerosis","qualifier_ui":"Q000235","qualifier_name":"genetics","is_major_topic":true},{"descriptor_ui":"D059647","descriptor_name":"Gene-Environment Interaction","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":5,"locations":[{"id":"doi:10.1002/sim.6281","doi":"https://doi.org/10.1002/sim.6281","is_oa":false,"landing_page_url":"https://doi.org/10.1002/sim.6281","pdf_url":null,"source":{"id":"https://openalex.org/S55189604","display_name":"Statistics in Medicine","issn_l":"0277-6715","issn":["0277-6715","1097-0258"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-2","ki-jl-2","medline","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics in Medicine","raw_type":"journal-article"},{"id":"pmid:25112650","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25112650","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics in medicine","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:4227925","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4227925","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Stat Med","raw_type":"Text"},{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/109558","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/109558","pdf_url":"https://hdl.handle.net/2027.42/109558","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt3z086106","doi":null,"is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/3z086106","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Statistics in Medicine, vol 33, iss 29","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:4227925","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4227925","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Stat Med","raw_type":"Text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1186962729","display_name":null,"funder_award_id":"N01-HC-65226","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"},{"id":"https://openalex.org/G1211549635","display_name":null,"funder_award_id":"DMS-1007494","funder_id":"https://openalex.org/F4320332179","funder_display_name":"Office of the Director"},{"id":"https://openalex.org/G1261793039","display_name":null,"funder_award_id":"N01 HC-95159","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"},{"id":"https://openalex.org/G1265647474","display_name":null,"funder_award_id":"CA 156608","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G1409423729","display_name":null,"funder_award_id":"N01-HC095169","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"},{"id":"https://openalex.org/G2031642996","display_name":"Two-Phase Cancer Studies of Gene-Environment Interaction","funder_award_id":"R03CA156608","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G2474747973","display_name":"Clinical and Translational Science Award","funder_award_id":"UL1RR024156","funder_id":"https://openalex.org/F4320337375","funder_display_name":"National Center for Research Resources"},{"id":"https://openalex.org/G2920032576","display_name":"SUBCLINICAL CARDIOVASCULAR DISEASE STUDY--EBCT READING","funder_award_id":"n01hc095169-003","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G3647016462","display_name":null,"funder_award_id":"N01-HC-095159","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"},{"id":"https://openalex.org/G36937976","display_name":null,"funder_award_id":"N02- HL-64278","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"},{"id":"https://openalex.org/G3799617791","display_name":"CANDIDATE GENE ASSOCIATION RESOURCE (CARE)","funder_award_id":"n01hc65226-6-0-0","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G520755853","display_name":null,"funder_award_id":"ES020811","funder_id":"https://openalex.org/F4320337361","funder_display_name":"National Institute of Environmental Health Sciences"},{"id":"https://openalex.org/G587882820","display_name":null,"funder_award_id":"N01 HC065226","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"},{"id":"https://openalex.org/G7300669466","display_name":"Stress, Gene-Environment Interaction and Cardiovascular Disease","funder_award_id":"R01HL101161","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"},{"id":"https://openalex.org/G734627383","display_name":"MESA","funder_award_id":"n01hc95159-40-0-1","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G7925490556","display_name":"Michigan Center for Integrative Approaches to Health Disparities (CIAHD)","funder_award_id":"P60MD002249","funder_id":"https://openalex.org/F4320337534","funder_display_name":"National Institute on Minority Health and Health Disparities"},{"id":"https://openalex.org/G8205040306","display_name":"Efficient Design and Analytic Strategies for Enhancing the Power of Detecting G X","funder_award_id":"R21ES020811","funder_id":"https://openalex.org/F4320337361","funder_display_name":"National Institute of Environmental Health Sciences"},{"id":"https://openalex.org/G991334795","display_name":null,"funder_award_id":"N01 HC95169","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320332179","display_name":"Office of the Director","ror":"https://ror.org/04nseet23"},{"id":"https://openalex.org/F4320337338","display_name":"National Heart, Lung, and Blood Institute","ror":"https://ror.org/012pb6c26"},{"id":"https://openalex.org/F4320337351","display_name":"National Cancer Institute","ror":"https://ror.org/040gcmg81"},{"id":"https://openalex.org/F4320337361","display_name":"National Institute of Environmental Health Sciences","ror":"https://ror.org/00j4k1h63"},{"id":"https://openalex.org/F4320337375","display_name":"National Center for Research Resources","ror":"https://ror.org/04pw6fb54"},{"id":"https://openalex.org/F4320337534","display_name":"National Institute on Minority Health and Health Disparities","ror":"https://ror.org/0493hgw16"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2096930309.pdf","grobid_xml":"https://content.openalex.org/works/W2096930309.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W106150465","https://openalex.org/W1522935720","https://openalex.org/W1799199585","https://openalex.org/W1980307155","https://openalex.org/W1980553626","https://openalex.org/W1990915232","https://openalex.org/W1991718164","https://openalex.org/W1993147091","https://openalex.org/W2000092136","https://openalex.org/W2007360227","https://openalex.org/W2025091503","https://openalex.org/W2028176757","https://openalex.org/W2034797896","https://openalex.org/W2049558150","https://openalex.org/W2058065900","https://openalex.org/W2060467039","https://openalex.org/W2067207355","https://openalex.org/W2068534319","https://openalex.org/W2070779353","https://openalex.org/W2080532349","https://openalex.org/W2089436647","https://openalex.org/W2093453252","https://openalex.org/W2094549173","https://openalex.org/W2099219592","https://openalex.org/W2103418109","https://openalex.org/W2105673666","https://openalex.org/W2115481383","https://openalex.org/W2132039887","https://openalex.org/W2135103130","https://openalex.org/W2142057247","https://openalex.org/W2147311167","https://openalex.org/W2151752382","https://openalex.org/W2154532816","https://openalex.org/W2156097706","https://openalex.org/W2159316975","https://openalex.org/W2160131000","https://openalex.org/W2164530052","https://openalex.org/W2316025483","https://openalex.org/W2338802886","https://openalex.org/W2798142293","https://openalex.org/W3021426108","https://openalex.org/W4300944962"],"related_works":["https://openalex.org/W2318764860","https://openalex.org/W1522935720","https://openalex.org/W3159512080","https://openalex.org/W7024514362","https://openalex.org/W2034797896","https://openalex.org/W3183756323","https://openalex.org/W2146708426","https://openalex.org/W2139044573","https://openalex.org/W2625374313","https://openalex.org/W7164915815"],"abstract_inverted_index":{"While":[0],"there":[1],"has":[2,16],"been":[3,17],"extensive":[4],"research":[5],"developing":[6],"gene-environment":[7],"interaction":[8,45,96,116,159,165,177,187,197,210],"(GEI)":[9],"methods":[10,216],"in":[11,26,198],"case-control":[12],"studies,":[13],"little":[14],"attention":[15],"given":[18],"to":[19,73,119,128,207],"sparse":[20],"and":[21,37,104,122,137,152,185,189,224],"efficient":[22],"modeling":[23],"of":[24,49,71,82,102,109,113,209,228],"GEI":[25,34,169],"longitudinal":[27,200,219],"studies.":[28],"In":[29],"a":[30,42,50,99,157,161,173,199],"two-way":[31],"table":[32],"for":[33,53,92,164,168,176,195],"with":[35,56,79],"rows":[36],"columns":[38],"as":[39,98],"categorical":[40],"variables,":[41],"conventional":[43],"saturated":[44,186],"model":[46,91,133,142],"involves":[47],"estimation":[48],"specific":[51],"parameter":[52],"each":[54,150],"cell,":[55],"constraints":[57],"ensuring":[58],"identifiability.":[59],"The":[60,202],"estimates":[61,136,181],"are":[62,65],"unbiased":[63],"but":[64],"potentially":[66],"inefficient":[67],"because":[68],"the":[69,86,95,110,115,123,141,191,214,225],"number":[70],"parameters":[72],"be":[74],"estimated":[75],"can":[76],"grow":[77],"quickly":[78],"increasing":[80],"categories":[81],"row/column":[83],"factors.":[84],"On":[85],"other":[87],"hand,":[88],"Tukey's":[89,132,184],"one-degree-of-freedom":[90],"non-additivity":[93],"treats":[94],"term":[97],"scaled":[100],"product":[101],"row":[103],"column":[105],"main":[106],"effects.":[107],"Because":[108],"parsimonious":[111],"form":[112],"interaction,":[114],"estimate":[117],"leads":[118],"enhanced":[120],"efficiency,":[121],"corresponding":[124,192],"test":[125,194],"could":[126],"lead":[127],"increased":[129],"power.":[130],"Unfortunately,":[131],"gives":[134],"biased":[135],"low":[138],"power":[139],"if":[140],"is":[143,166,205],"misspecified.":[144],"When":[145],"screening":[146],"multiple":[147],"GEIs":[148],"where":[149],"genetic":[151],"environmental":[153],"marker":[154],"may":[155],"exhibit":[156],"distinct":[158],"pattern,":[160],"robust":[162,206],"estimator":[163,175,204],"important":[167],"detection.":[170],"We":[171,212],"propose":[172],"shrinkage":[174],"effects":[178],"that":[179],"combines":[180],"from":[182],"both":[183],"models":[188],"use":[190],"Wald":[193],"testing":[196],"setting.":[201],"proposed":[203,215],"misspecification":[208],"structure.":[211],"illustrate":[213],"using":[217],"two":[218],"studies-the":[220],"Normative":[221],"Aging":[222],"Study":[223,227],"Multi-ethnic":[226],"Atherosclerosis.":[229]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}