{"id":"https://openalex.org/W4232776824","doi":"https://doi.org/10.1002/9781118574454.ch9","title":"Dimensionality","display_name":"Dimensionality","publication_year":2012,"publication_date":"2012-12-17","ids":{"openalex":"https://openalex.org/W4232776824","doi":"https://doi.org/10.1002/9781118574454.ch9"},"language":"en","primary_location":{"id":"doi:10.1002/9781118574454.ch9","doi":"https://doi.org/10.1002/9781118574454.ch9","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9781118574454.ch9","pdf_url":null,"source":{"id":"https://openalex.org/S4306464293","display_name":"Wiley eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Rasch Models in Health","raw_type":"other"},"volume":{"id":"https://openalex.org/W2478468307","display_name":"Rasch Models in Health"},"type":"other","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/A5036280422","display_name":"Mike Horton","orcid":"https://orcid.org/0000-0002-6675-7335","observed_orcids":["https://orcid.org/0000-0002-6675-7335"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mike Horton","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017004971","display_name":"Ida Marais","orcid":"https://orcid.org/0000-0001-9597-231X","observed_orcids":["https://orcid.org/0000-0001-9597-231X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ida Marais","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5086027122","display_name":"Karl Bang Christensen","orcid":"https://orcid.org/0000-0003-4518-5187","observed_orcids":["https://orcid.org/0000-0003-4518-5187"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karl Bang Christensen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"137","last_page":"158"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10467","display_name":"Psychometric Methodologies and Testing","score":0.9994999766349792,"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":0.9994999766349792,"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/T13283","display_name":"Mental Health Research Topics","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12848","display_name":"Psychological Testing and Assessment","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3202","display_name":"Applied Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multidimensionality","display_name":"multidimensionality","score":0.9610000252723694},{"id":"https://openalex.org/keywords/unidimensionality","display_name":"unidimensionality","score":0.9079999923706055},{"id":"https://openalex.org/keywords/multidimensional-rasch-model","display_name":"multidimensional Rasch model","score":0.9010000228881836},{"id":"https://openalex.org/keywords/confirmatory-factor-analysis","display_name":"confirmatory factor analysis","score":0.6209999918937683},{"id":"https://openalex.org/keywords/exploratory-factor-analysis","display_name":"exploratory factor analysis","score":0.9390000104904175},{"id":"https://openalex.org/keywords/marginal-maximum-likelihood-estimation","display_name":"marginal maximum likelihood estimation","score":0.722000002861023},{"id":"https://openalex.org/keywords/conditional-maximum-likelihood-estimation","display_name":"conditional maximum likelihood estimation","score":0.9990000128746033},{"id":"https://openalex.org/keywords/item-parameter-estimation","display_name":"item parameter estimation","score":0.6790000200271606},{"id":"https://openalex.org/keywords/measurement-invariance","display_name":"measurement invariance","score":0.6959999799728394},{"id":"https://openalex.org/keywords/hospital-anxiety-and-depression-scale","display_name":"Hospital Anxiety and Depression Scale","score":0.9049999713897705}],"concepts":[{"id":"https://openalex.org/C101266164","wikidata":"https://www.wikidata.org/wiki/Q2131821","display_name":"Rasch model","level":2,"score":0.7891542315483093},{"id":"https://openalex.org/C19875794","wikidata":"https://www.wikidata.org/wiki/Q1207340","display_name":"Item response theory","level":3,"score":0.5859493613243103},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4378674030303955},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4351041615009308},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.4285696744918823},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.4272037148475647},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4258059859275818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.407335489988327},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.39731094241142273},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.3544354736804962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30238163471221924},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/9781118574454.ch9","doi":"https://doi.org/10.1002/9781118574454.ch9","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9781118574454.ch9","pdf_url":null,"source":{"id":"https://openalex.org/S4306464293","display_name":"Wiley eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Rasch Models in Health","raw_type":"other"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/5a8be3bd-bafc-4f92-8c85-df4c9cf5baaa","doi":null,"is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/5a8be3bd-bafc-4f92-8c85-df4c9cf5baaa","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Horton, M, Marais, I & Christensen, K B 2013, Dimensionality. in M M Christensen KB Kreiner S (ed.), In:Rasch Models in Health. Wiley, pp. 137-157.","raw_type":"info:eu-repo/semantics/bookPart"},{"id":"pmh:oai:pure.atira.dk:publications/e1783582-5c96-40a3-8407-1b5d069810d4","doi":null,"is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/e1783582-5c96-40a3-8407-1b5d069810d4","pdf_url":null,"source":{"id":"https://openalex.org/S4306402492","display_name":"UWA Profiles and Research Repository (UWA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Horton, M, Marais, I & Christensen, K B 2013, Dimensionality. in K B Christensen, S Kreiner & M Mesbah (eds), Rasch Models in Health. John Wiley & Sons, United States of America, pp. 137-157.","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7246000170707703,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W12275852","https://openalex.org/W50727192","https://openalex.org/W113957863","https://openalex.org/W149410319","https://openalex.org/W173320048","https://openalex.org/W560539235","https://openalex.org/W652101318","https://openalex.org/W1533197976","https://openalex.org/W1533240928","https://openalex.org/W1967346056","https://openalex.org/W1987138256","https://openalex.org/W1993997587","https://openalex.org/W1996455982","https://openalex.org/W2000616298","https://openalex.org/W2022031020","https://openalex.org/W2024673941","https://openalex.org/W2032968154","https://openalex.org/W2033548059","https://openalex.org/W2037667877","https://openalex.org/W2044421470","https://openalex.org/W2052438216","https://openalex.org/W2054491867","https://openalex.org/W2077567545","https://openalex.org/W2079828373","https://openalex.org/W2082084465","https://openalex.org/W2090413389","https://openalex.org/W2117012826","https://openalex.org/W2120804714","https://openalex.org/W2128733617","https://openalex.org/W2135934118","https://openalex.org/W2147703164","https://openalex.org/W2159306398","https://openalex.org/W2166281097","https://openalex.org/W2495090114","https://openalex.org/W4237035249","https://openalex.org/W4243441390","https://openalex.org/W4249365816","https://openalex.org/W4292692520","https://openalex.org/W6684539355"],"related_works":["https://openalex.org/W218827568","https://openalex.org/W12275852","https://openalex.org/W203025332","https://openalex.org/W621803528","https://openalex.org/W2022452923","https://openalex.org/W7098640657","https://openalex.org/W4242286570","https://openalex.org/W2603035034","https://openalex.org/W2601761412","https://openalex.org/W2082084465"],"abstract_inverted_index":{"This":[0],"chapter":[1,125],"offers":[2],"a":[3,23,35,93,100],"discussion":[4],"of":[5,72,130,134,137],"multidimensionality":[6,21,131],"in":[7,22,112,119],"health":[8],"outcome":[9],"scales":[10],"and":[11,47,58,80,132],"describes":[12],"methods":[13],"that":[14],"can":[15],"help":[16],"indicate":[17],"if":[18],"there":[19],"is":[20,38,63,75],"data":[24,62],"set.":[25],"Two":[26],"different":[27],"situations":[28],"are":[29,89],"considered:":[30],"confirmatory":[31],"analysis":[32,49],"where":[33,50],"an":[34],"priori":[36],"hypothesis":[37],"tested":[39],"regarding":[40],"which":[41],"items":[42],"measure":[43],"what":[44],"latent":[45],"construct,":[46],"exploratory":[48],"no":[51],"such":[52],"hypotheses":[53],"exist.":[54],"The":[55],"Hospital":[56],"Anxiety":[57],"Depression":[59],"Scale":[60],"(HADS)":[61],"used":[64],"for":[65,128],"illustration":[66],"throughout":[67],"the":[68,82,113,120,124,135],"chapter.":[69],"One":[70],"way":[71],"testing":[73],"unidimensionality":[74],"to":[76],"formulate":[77],"multidimensional":[78],"models":[79,108],"test":[81],"unidimensional":[83],"model":[84],"against":[85],"them.":[86],"Item":[87],"parameters":[88],"estimated":[90],"using":[91],"either":[92],"marginal":[94],"maximum":[95,102],"likelihood":[96,103],"(MML)":[97],"approach":[98],"or":[99],"conditional":[101],"(CML)":[104],"approach.":[105],"Multidimensional":[106],"Rasch":[107],"have":[109],"been":[110],"proposed":[111],"MML":[114],"framework":[115],"as":[116,118],"well":[117],"CML":[121],"framework.":[122],"Further,":[123],"discusses":[126],"diagnostics":[127],"detection":[129],"estimation":[133],"magnitude":[136],"multidimensionality.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2022-05-12T00:00:00"}