{"id":"https://openalex.org/W2808540002","doi":null,"title":"Statistical Models for Correlated Data","display_name":"Statistical Models for Correlated Data","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2808540002","mag":"2808540002"},"language":"en","primary_location":{"id":"pmh:oai:scholarworks.wmich.edu:dissertations-4237","doi":null,"is_oa":true,"landing_page_url":"https://scholarworks.wmich.edu/dissertations/3220","pdf_url":"https://scholarworks.wmich.edu/cgi/viewcontent.cgi?article=4237&context=dissertations","source":{"id":"https://openalex.org/S4377196527","display_name":"ScholarWorks - WMU (Western Michigan University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I141649380","host_organization_name":"Western Michigan University","host_organization_lineage":["https://openalex.org/I141649380"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dissertations","raw_type":"text"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://scholarworks.wmich.edu/cgi/viewcontent.cgi?article=4237&context=dissertations","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063006373","display_name":"Xiaomeng Niu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Xiaomeng Niu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5063006373"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9970999956130981,"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":0.9970999956130981,"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/T10136","display_name":"Statistical Methods and Inference","score":0.0005000000237487257,"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/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.00039999998989515007,"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/correlated-data","display_name":"correlated data","score":0.9789999723434448},{"id":"https://openalex.org/keywords/longitudinal-count-data","display_name":"longitudinal count data","score":0.8730000257492065},{"id":"https://openalex.org/keywords/overdispersion","display_name":"overdispersion","score":0.9789999723434448},{"id":"https://openalex.org/keywords/negative-binomial-regression","display_name":"negative binomial regression","score":0.9829999804496765},{"id":"https://openalex.org/keywords/goodness-of-fit-tests","display_name":"goodness-of-fit tests","score":0.800000011920929},{"id":"https://openalex.org/keywords/clustered-data","display_name":"clustered data","score":0.7049999833106995},{"id":"https://openalex.org/keywords/multivariate-data","display_name":"multivariate data","score":0.8379999995231628},{"id":"https://openalex.org/keywords/multiple-response-variables","display_name":"multiple response variables","score":0.8059999942779541},{"id":"https://openalex.org/keywords/polynomial-regression","display_name":"polynomial regression","score":0.6029999852180481},{"id":"https://openalex.org/keywords/model-selection","display_name":"model selection","score":0.8790000081062317},{"id":"https://openalex.org/keywords/treatment-effects-over-time","display_name":"treatment effects over time","score":0.7250000238418579},{"id":"https://openalex.org/keywords/baseline-measurement","display_name":"baseline measurement","score":0.6389999985694885},{"id":"https://openalex.org/keywords/clinical-trials","display_name":"clinical trials","score":0.8399999737739563}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33780208230018616},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.33612269163131714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29349860548973083}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:scholarworks.wmich.edu:dissertations-4237","doi":null,"is_oa":true,"landing_page_url":"https://scholarworks.wmich.edu/dissertations/3220","pdf_url":"https://scholarworks.wmich.edu/cgi/viewcontent.cgi?article=4237&context=dissertations","source":{"id":"https://openalex.org/S4377196527","display_name":"ScholarWorks - WMU (Western Michigan University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I141649380","host_organization_name":"Western Michigan University","host_organization_lineage":["https://openalex.org/I141649380"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dissertations","raw_type":"text"},{"id":"mag:2808540002","doi":null,"is_oa":false,"landing_page_url":"https://scholarworks.wmich.edu/cgi/viewcontent.cgi?article=4237&context=dissertations","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:scholarworks.wmich.edu:dissertations-4237","doi":null,"is_oa":true,"landing_page_url":"https://scholarworks.wmich.edu/dissertations/3220","pdf_url":"https://scholarworks.wmich.edu/cgi/viewcontent.cgi?article=4237&context=dissertations","source":{"id":"https://openalex.org/S4377196527","display_name":"ScholarWorks - WMU (Western Michigan University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I141649380","host_organization_name":"Western Michigan University","host_organization_lineage":["https://openalex.org/I141649380"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dissertations","raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2808540002.pdf","grobid_xml":"https://content.openalex.org/works/W2808540002.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W1577445975","https://openalex.org/W1969815525","https://openalex.org/W1976961608","https://openalex.org/W1983351268","https://openalex.org/W1983543065","https://openalex.org/W1988362384","https://openalex.org/W2015234077","https://openalex.org/W2016364992","https://openalex.org/W2028995298","https://openalex.org/W2037385658","https://openalex.org/W2038381734","https://openalex.org/W2038641820","https://openalex.org/W2041813978","https://openalex.org/W2047905873","https://openalex.org/W2058558131","https://openalex.org/W2062541416","https://openalex.org/W2068127700","https://openalex.org/W2069541127","https://openalex.org/W2070065504","https://openalex.org/W2081531193","https://openalex.org/W2084626053","https://openalex.org/W2084847607","https://openalex.org/W2085350365","https://openalex.org/W2089887873","https://openalex.org/W2094788121","https://openalex.org/W2101593431","https://openalex.org/W2102838862","https://openalex.org/W2109395830","https://openalex.org/W2111678864","https://openalex.org/W2113082109","https://openalex.org/W2116855184","https://openalex.org/W2141366416","https://openalex.org/W2141506774","https://openalex.org/W2149860264","https://openalex.org/W2150983145","https://openalex.org/W2153403353","https://openalex.org/W2153999489","https://openalex.org/W2155925908","https://openalex.org/W2161850932","https://openalex.org/W2185372228","https://openalex.org/W2189057525","https://openalex.org/W2324299167","https://openalex.org/W2580245871","https://openalex.org/W2906762297","https://openalex.org/W2962782950","https://openalex.org/W3015240874","https://openalex.org/W3021023279","https://openalex.org/W3121917322","https://openalex.org/W3124377371","https://openalex.org/W3125381306"],"related_works":["https://openalex.org/W2908434993","https://openalex.org/W2016364992","https://openalex.org/W2037305212","https://openalex.org/W7033552144","https://openalex.org/W2054109665","https://openalex.org/W2425108188","https://openalex.org/W569617580","https://openalex.org/W2585863278","https://openalex.org/W4210990444","https://openalex.org/W2046037278"],"abstract_inverted_index":{"Correlated":[0],"data":[1,33,129,157,215],"arise":[2],"frequently":[3],"in":[4,24,139,158],"many":[5],"studies":[6],"where":[7],"multiple":[8],"response":[9,43,55,85,240],"variables":[10,44],"or":[11],"repeatedly":[12],"measured":[13,233],"responses":[14],"within":[15,48],"subjects":[16],"are":[17],"correlated.":[18],"My":[19],"dissertation":[20],"topic":[21],"lies":[22],"broadly":[23],"developing":[25],"various":[26,279],"statistical":[27],"methodologies":[28],"for":[29,70,117,154,198,212,261],"correlated":[30],"types":[31],"of":[32,94,142,188,223,229,252,257,299],"such":[34],"as":[35,238],"longitudinal":[36,127,155,213],"data,":[37,39],"clustered":[38],"and":[40,113,178,196,216,236],"multivariate":[41],"data.\\nMultiple":[42],"might":[45],"be":[46],"relevant":[47],"subjects.":[49],"A":[50],"univariate":[51],"procedure":[52,288],"fitting":[53],"each":[54,302],"separately":[56],"does":[57,100],"not":[58,91,205],"take":[59],"into":[60,167],"account":[61],"the":[62,71,84,95,103,107,123,132,143,159,175,179,184,189,199,221,227,253,258,273,291,297,313,318],"correlation":[63,97,152],"among":[64,83],"responses.":[65],"To":[66],"improve":[67],"estimation":[68,78,141,195],"efficiency":[69],"regression":[72,144,162,176,200,269],"parameter,":[73],"this":[74,147],"study":[75,208,264],"proposes":[76,217,265],"two":[77],"procedures":[79,89,116],"by":[80,316],"accommodating":[81],"correlations":[82],"variables.":[86],"The":[87],"proposed":[88],"do":[90],"require":[92],"knowledge":[93],"true":[96],"structure":[98,153],"nor":[99],"it":[101],"estimate":[102,173],"parameters":[104],"associated":[105],"with":[106,130],"correlation.":[108],"We":[109,282],"further":[110,283],"propose":[111,284],"simple":[112],"powerful":[114],"inference":[115,197],"a":[118,136,151,168,218,230,239,285,308],"goodness-of-fit":[119],"test":[120,219,310],"that":[121],"possess":[122],"chi-squared":[124],"asymptotic":[125],"properties.\\nFor":[126],"count":[128,156,214],"overdispersion,":[131],"overdispersion":[133,180,190,203],"parameter":[134,177,181,191,201],"plays":[135],"significant":[137],"role":[138],"efficient":[140,194],"parameter.":[145],"In":[146,304],"study,":[148],"we":[149,306],"develop":[150],"negative":[160],"binomial":[161],"model,":[163],"which":[164,295],"is":[165,204,232,250],"incorporated":[166],"joint":[169],"estimating":[170],"equation":[171],"to":[172,271,311],"both":[174],"simultaneously.":[182],"On":[183],"other":[185],"hand,":[186],"inclusion":[187],"can":[192],"hinder":[193],"when":[202],"present.":[206],"This":[207,263],"provides":[209],"new":[210],"modeling":[211],"detecting":[220],"presence":[222],"overdispersion.\\nIn":[224],"clinical":[225],"trials,":[226],"outcome":[228],"disease":[231],"at":[234,278,301],"baseline":[235,280],"again":[237],"variable":[241],"recorded":[242],"over":[243,276],"time":[244,277],"during":[245],"follow-up":[246],"treatments.":[247],"Baseline":[248],"measurement":[249],"one":[251],"most":[254],"important":[255],"determinants":[256],"proper":[259],"treatment":[260,274,319],"patients.":[262],"an":[266],"nonparametric":[267],"polynomial":[268,300],"model":[270,286],"assess":[272,312],"effects":[275,315],"levels.":[281],"selection":[287],"based":[289],"on":[290],"empirical":[292],"log-likelihood":[293],"method,":[294],"identifies":[296],"optimality":[298],"baseline.":[303],"addition,":[305],"provide":[307],"hypothesis":[309],"therapeutic":[314],"comparing":[317],"groups.":[320]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2018-06-21T00:00:00"}
