{"id":"https://openalex.org/W651097206","doi":null,"title":"Linear Model Theory: Univariate, Multivariate, and Mixed Models","display_name":"Linear Model Theory: Univariate, Multivariate, and Mixed Models","publication_year":2006,"publication_date":"2006-08-04","ids":{"openalex":"https://openalex.org/W651097206","mag":"651097206"},"language":"en","primary_location":{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-016090234","doi":null,"is_oa":false,"landing_page_url":"http://www.loc.gov/catdir/enhancements/fy0645/2006044266-d.html","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110163574","display_name":"Keith E. Muller","orcid":"https://orcid.org/0000-0001-8201-5449","observed_orcids":["https://orcid.org/0000-0001-8201-5449"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Keith E. Muller","raw_affiliation_strings":["University of North Carolina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of North Carolina","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025109579","display_name":"Paul W. Stewart","orcid":"https://orcid.org/0000-0003-2238-6031","observed_orcids":["https://orcid.org/0000-0003-2238-6031"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paul W. Stewart","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2238-6031","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1591,"has_fulltext":false,"cited_by_count":82,"citation_normalized_percentile":{"value":0.94598364,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"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":0.3366999924182892,"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":0.3366999924182892,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.30959999561309814,"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/T13141","display_name":"Statistical Methods and Applications","score":0.28690001368522644,"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/linear-models","display_name":"linear models","score":0.9769999980926514},{"id":"https://openalex.org/keywords/multivariate-linear-models","display_name":"multivariate linear models","score":0.9179999828338623},{"id":"https://openalex.org/keywords/mixed-effects-models","display_name":"mixed models","score":0.7570000290870667},{"id":"https://openalex.org/keywords/multivariate-normal-distribution","display_name":"multivariate normal distribution","score":0.7929999828338623},{"id":"https://openalex.org/keywords/quadratic-forms","display_name":"quadratic forms","score":0.9900000095367432},{"id":"https://openalex.org/keywords/estimation","display_name":"estimation","score":0.4950000047683716},{"id":"https://openalex.org/keywords/hypothesis-testing","display_name":"hypothesis testing","score":0.9980000257492065},{"id":"https://openalex.org/keywords/confidence-intervals","display_name":"confidence intervals","score":0.9980000257492065},{"id":"https://openalex.org/keywords/sample-size-calculation","display_name":"sample size determination","score":0.9179999828338623},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"matrix algebra","score":0.7879999876022339}],"concepts":[{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.8501413464546204},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.7342663407325745},{"id":"https://openalex.org/C38180746","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate analysis","level":2,"score":0.47858309745788574},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.43283769488334656},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.422943115234375},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4154955744743347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4074086844921112}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-016090234","doi":null,"is_oa":false,"landing_page_url":"http://www.loc.gov/catdir/enhancements/fy0645/2006044266-d.html","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:651097206","doi":null,"is_oa":false,"landing_page_url":"http://ci.nii.ac.jp/ncid/BA78225953","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":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1607202247","https://openalex.org/W1502024022","https://openalex.org/W3097688600","https://openalex.org/W4234274365","https://openalex.org/W596304944","https://openalex.org/W2910068235","https://openalex.org/W2492854650","https://openalex.org/W2037168499","https://openalex.org/W2995473911","https://openalex.org/W2606616689"],"abstract_inverted_index":{"Statisticians":[0],"often":[1],"use":[2],"linear":[3,26,165,180,184,189,196,199,207,212,220,254],"models":[4,27,166,181,208,213,221,255],"for":[5,9,103,129,179,225,234],"data":[6],"analysis":[7],"and":[8,24,35,60,71,78,83,96,107,151,162,249],"developing":[10],"new":[11],"statistical":[12],"methods.":[13],"Most":[14],"books":[15],"on":[16,115,253],"the":[17,47,50,85,194,223,230],"subject":[18],"have":[19],"historically":[20],"discussed":[21],"univariate,":[22],"multivariate,":[23],"mixed":[25,200],"separately,":[28],"whereas":[29],"Linear":[30,55,244],"Model":[31,56,245],"Theory:":[32,57,246],"Univariate,":[33,58,247],"Multivariate,":[34,59,248],"Mixed":[36,61,250],"Models":[37,62,251],"presents":[38],"a":[39,117,145,156,168,215,226,236],"unified":[40],"treatment":[41],"in":[42,159,206,210,218,241],"order":[43],"to":[44,68,137],"make":[45],"clear":[46,72],"distinctions":[48],"among":[49],"three":[51],"classes":[52],"of":[53,75,92,122,124,148,176,193,239,256],"models.":[54,86],"begins":[63],"with":[64,260],"six":[65],"chapters":[66],"devoted":[67],"providing":[69],"brief":[70],"mathematical":[73],"statements":[74],"models,":[76],"procedures,":[77],"notation.":[79],"Data":[80],"examples":[81],"motivate":[82],"illustrate":[84],"Chapters":[87,99],"7-10":[88],"address":[89],"distribution":[90,203],"theory":[91,161,204],"multivariate":[93,190,195],"Gaussian":[94,211,219],"variables":[95],"quadratic":[97],"forms.":[98],"11-19":[100],"detail":[101],"methods":[102,240],"estimation,":[104],"hypothesis":[105],"testing,":[106],"confidence":[108],"intervals.":[109],"The":[110,142,182,187,198],"final":[111],"chapters,":[112],"20-23,":[113],"concentrate":[114],"choosing":[116],"sample":[118,216],"size.":[119],"Substantial":[120],"sets":[121],"excercises":[123],"varying":[125],"difficulty":[126],"serve":[127],"instructors":[128],"their":[130,139],"classes,":[131],"as":[132,134,153,155],"well":[133,154],"help":[135],"students":[136],"test":[138],"own":[140],"knowledge.":[141],"reader":[143],"needs":[144],"basic":[146],"knowledge":[147],"statistics,":[149],"probability,":[150],"inference,":[152],"solid":[157],"background":[158],"matrix":[160,169,177],"applied":[163],"univariate":[164,185],"from":[167],"perspective.":[170],"Topics":[171],"covered":[172],"include:":[173],"A":[174],"review":[175],"algebra":[178],"general":[183,188],"model":[186,191,197,201],"Generalizations":[192],"Multivariate":[202],"Estimation":[205],"Tests":[209],"Choosing":[214],"size":[217],"Filling":[222],"need":[224],"text":[227],"that":[228],"provides":[229],"necessary":[231],"theoretical":[232],"foundations":[233],"applying":[235],"wide":[237],"range":[238],"real":[242],"situations,":[243],"centers":[252],"interval":[257],"scale":[258],"responses":[259],"finite":[261],"second":[262],"moments.":[263]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":8}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}