{"id":"https://openalex.org/W3201071958","doi":"https://doi.org/10.1080/03610918.2021.1977951","title":"Bayesian estimation of multidimensional polytomous item response theory models with Q-matrices using Stan","display_name":"Bayesian estimation of multidimensional polytomous item response theory models with Q-matrices using Stan","publication_year":2021,"publication_date":"2021-09-16","ids":{"openalex":"https://openalex.org/W3201071958","doi":"https://doi.org/10.1080/03610918.2021.1977951","mag":"3201071958"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2021.1977951","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2021.1977951","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5056463396","display_name":"Marcelo A. da Silva","orcid":"https://orcid.org/0000-0001-9079-8981"},"institutions":[{"id":"https://openalex.org/I163039527","display_name":"Universidade Metodista de S\u00e3o Paulo","ror":"https://ror.org/012mm7y56","country_code":"BR","type":"education","lineage":["https://openalex.org/I163039527"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Marcelo A. da Silva","raw_affiliation_strings":["Luiz de Queiroz College of Agriculture (ESALQ), University of S\u00e3o Paulo, Piracicaba, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-9079-8981","affiliations":[{"raw_affiliation_string":"Luiz de Queiroz College of Agriculture (ESALQ), University of S\u00e3o Paulo, Piracicaba, Brazil","institution_ids":["https://openalex.org/I163039527"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079420705","display_name":"Ren Liu","orcid":"https://orcid.org/0000-0002-6708-4996"},"institutions":[{"id":"https://openalex.org/I156087764","display_name":"University of California, Merced","ror":"https://ror.org/00d9ah105","country_code":"US","type":"education","lineage":["https://openalex.org/I156087764"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ren Liu","raw_affiliation_strings":["School of Social Sciences, Humanities and Arts, University of California, Merced, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-6708-4996","affiliations":[{"raw_affiliation_string":"School of Social Sciences, Humanities and Arts, University of California, Merced, CA, USA","institution_ids":["https://openalex.org/I156087764"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069466652","display_name":"Anne Corinne Huggins\u2010Manley","orcid":"https://orcid.org/0000-0001-9608-4867"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anne Corinne Huggins-Manley","raw_affiliation_strings":["College of Education, University of Florida, Gainesville, FL, USA"],"raw_orcid":"https://orcid.org/0000-0001-9608-4867","affiliations":[{"raw_affiliation_string":"College of Education, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035270815","display_name":"Jorge L. Baz\u00e1n","orcid":"https://orcid.org/0000-0003-3918-8795"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jorge L. Baz\u00e1n","raw_affiliation_strings":["Institute of Mathematics and Computer Sciences, University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-3918-8795","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Sciences, University of S\u00e3o Paulo, S\u00e3o Carlos, Brazil","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056463396"],"corresponding_institution_ids":["https://openalex.org/I163039527"],"apc_list":null,"apc_paid":null,"fwci":0.1795,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55817758,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"52","issue":"11","first_page":"5178","last_page":"5194"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10467","display_name":"Psychometric Methodologies and Testing","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10467","display_name":"Psychometric Methodologies and Testing","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13748","display_name":"Advanced Statistical Modeling Techniques","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10845","display_name":"Advanced Causal Inference Techniques","score":0.9868999719619751,"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/polytomous-rasch-model","display_name":"Polytomous Rasch model","score":0.9077835083007812},{"id":"https://openalex.org/keywords/item-response-theory","display_name":"Item response theory","score":0.750458836555481},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6104956269264221},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5415695905685425},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5213605165481567},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.4503466486930847},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41614121198654175},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4029797911643982},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.386081725358963},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3696327805519104},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.31535762548446655},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2675965428352356},{"id":"https://openalex.org/keywords/psychometrics","display_name":"Psychometrics","score":0.12851369380950928}],"concepts":[{"id":"https://openalex.org/C207968926","wikidata":"https://www.wikidata.org/wiki/Q7227107","display_name":"Polytomous Rasch model","level":4,"score":0.9077835083007812},{"id":"https://openalex.org/C19875794","wikidata":"https://www.wikidata.org/wiki/Q1207340","display_name":"Item response theory","level":3,"score":0.750458836555481},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6104956269264221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5415695905685425},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5213605165481567},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.4503466486930847},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41614121198654175},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4029797911643982},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.386081725358963},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3696327805519104},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.31535762548446655},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2675965428352356},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.12851369380950928},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2021.1977951","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2021.1977951","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W68436435","https://openalex.org/W1517555081","https://openalex.org/W1545319692","https://openalex.org/W1921865210","https://openalex.org/W2003328088","https://openalex.org/W2020999234","https://openalex.org/W2051039162","https://openalex.org/W2056760934","https://openalex.org/W2057765075","https://openalex.org/W2065122082","https://openalex.org/W2078852258","https://openalex.org/W2082370383","https://openalex.org/W2083875149","https://openalex.org/W2117135010","https://openalex.org/W2117640803","https://openalex.org/W2119159447","https://openalex.org/W2121978843","https://openalex.org/W2123222757","https://openalex.org/W2129728285","https://openalex.org/W2138309709","https://openalex.org/W2148415528","https://openalex.org/W2148534890","https://openalex.org/W2160900637","https://openalex.org/W2168003017","https://openalex.org/W2203714058","https://openalex.org/W2236568044","https://openalex.org/W2324743517","https://openalex.org/W2489543173","https://openalex.org/W2762581681","https://openalex.org/W2903390499","https://openalex.org/W2963977107","https://openalex.org/W3123421154","https://openalex.org/W4246435226","https://openalex.org/W4248681815","https://openalex.org/W4254972346"],"related_works":["https://openalex.org/W2146544833","https://openalex.org/W2110161405","https://openalex.org/W1655920153","https://openalex.org/W4309301126","https://openalex.org/W1992126445","https://openalex.org/W1982160749","https://openalex.org/W2093555683","https://openalex.org/W1529431427","https://openalex.org/W2773103787","https://openalex.org/W2123066743"],"abstract_inverted_index":{"The":[0,36],"Q-matrix":[1,43,81,99],"is":[2],"commonly":[3],"used":[4],"in":[5,82,142,154,172],"diagnostic":[6],"classification":[7],"models":[8,21,41,56,87,106,141,171],"and":[9,30,57,62,109,120,139,148,187,193],"has":[10,45],"recently":[11],"been":[12],"incorporated":[13],"into":[14,100],"the":[15,26,33,39,49,52,69,77,80,83,95,98,103,111,121,134,137,158,162,167,189,196],"multidimensional":[16,112,122],"item":[17,90],"response":[18,114],"theory":[19],"(MIRT)":[20],"to":[22,47,58,67,75,156,177],"add":[23],"information":[24],"about":[25],"relationship":[27],"between":[28],"items":[29,186],"dimensions":[31],"of":[32,38,51,54,79,85,97,102,136,161,169,191],"latent":[34],"trait.":[35],"reformulation":[37],"MIRT":[40,86,105],"with":[42],"(MIRT-Q)":[44],"presented":[46],"improve":[48],"precision":[50],"parameters":[53],"these":[55],"provide":[59,132],"a":[60,144,151],"simple":[61],"intuitive":[63],"method":[64],"for":[65,88],"users":[66],"define":[68],"item-trait":[70],"relationship.":[71],"This":[72],"paper":[73],"aims":[74],"explore":[76],"incorporation":[78,96],"formulation":[84],"polytomous":[89,104],"responses.":[91],"Specifically,":[92],"we":[93,149,174],"introduce":[94],"two":[101],"most":[107],"known":[108],"used:":[110],"graded":[113],"(MGR)":[115],"model,":[116,127],"hereinafter":[117,128],"called":[118,129],"MGR-Q,":[119],"generalized":[123],"partial":[124],"credit":[125],"(MGPC)":[126],"MGPC-Q.":[130],"We":[131],"readers":[133],"code":[135],"MGR-Q":[138,192],"MGPC-Q":[140,194],"Stan,":[143],"Bayesian":[145],"estimation":[146,163,190],"software,":[147],"conduct":[150],"simulation":[152],"study":[153],"order":[155],"evaluate":[157],"parameter":[159],"recovery":[160],"method.":[164],"To":[165],"illustrate":[166],"use":[168],"both":[170],"practice,":[173],"fit":[175],"them":[176],"an":[178],"operational":[179],"dataset":[180],"from":[181],"2400":[182],"individuals":[183],"on":[184],"13":[185],"demonstrate":[188],"using":[195],"Stan":[197],"program.":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-09-27T00:00:00"}