{"id":"https://openalex.org/W148663113","doi":null,"title":"Testing the assumption of sample invariance of item difficulty parameters in the Rasch rating scale model","display_name":"Testing the assumption of sample invariance of item difficulty parameters in the Rasch rating scale model","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W148663113","mag":"148663113"},"language":"en","primary_location":{"id":"pmh:oai:scholarsarchive.byu.edu:etd-2167","doi":null,"is_oa":true,"landing_page_url":"https://scholarsarchive.byu.edu/etd/1168","pdf_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2167&context=etd","source":{"id":"https://openalex.org/S4377196308","display_name":"ScholarsArchive  (Brigham Young University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I100005738","host_organization_name":"Brigham Young University","host_organization_lineage":["https://openalex.org/I100005738"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2167&context=etd","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044502467","display_name":"Joseph Curtin","orcid":"https://orcid.org/0009-0003-7666-9034","observed_orcids":["https://orcid.org/0009-0003-7666-9034"]},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joseph Curtin","raw_affiliation_strings":["Brigham Young Univ"],"raw_orcid":"https://orcid.org/0009-0003-7666-9034","affiliations":[{"raw_affiliation_string":"Brigham Young Univ","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044502467"],"corresponding_institution_ids":["https://openalex.org/I100005738"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"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/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/T12884","display_name":"Educational Assessment and Pedagogy","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"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/rasch-rating-scale-model","display_name":"Rasch rating scale model","score":0.8709999918937683},{"id":"https://openalex.org/keywords/polytomous-data","display_name":"polytomous data","score":0.8019999861717224},{"id":"https://openalex.org/keywords/confidence-intervals","display_name":"confidence intervals","score":0.6819999814033508},{"id":"https://openalex.org/keywords/longitudinal-data","display_name":"longitudinal data","score":0.593999981880188},{"id":"https://openalex.org/keywords/confounding-variables","display_name":"confounding variables","score":0.8669999837875366},{"id":"https://openalex.org/keywords/gender-differences","display_name":"gender differences","score":0.8180000185966492},{"id":"https://openalex.org/keywords/field-of-study","display_name":"field of study","score":0.6240000128746033},{"id":"https://openalex.org/keywords/measurement-invariance","display_name":"measurement invariance","score":0.5559999942779541}],"concepts":[{"id":"https://openalex.org/C101266164","wikidata":"https://www.wikidata.org/wiki/Q2131821","display_name":"Rasch model","level":2,"score":0.9175208806991577},{"id":"https://openalex.org/C83849319","wikidata":"https://www.wikidata.org/wiki/Q7295720","display_name":"Rating scale","level":2,"score":0.6707045435905457},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.58133465051651},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5769139528274536},{"id":"https://openalex.org/C19875794","wikidata":"https://www.wikidata.org/wiki/Q1207340","display_name":"Item response theory","level":3,"score":0.5575740337371826},{"id":"https://openalex.org/C135593079","wikidata":"https://www.wikidata.org/wiki/Q1750766","display_name":"Scale invariance","level":2,"score":0.526203453540802},{"id":"https://openalex.org/C181447626","wikidata":"https://www.wikidata.org/wiki/Q1224359","display_name":"Differential item functioning","level":4,"score":0.5135672092437744},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5072855353355408},{"id":"https://openalex.org/C207968926","wikidata":"https://www.wikidata.org/wiki/Q7227107","display_name":"Polytomous Rasch model","level":4,"score":0.49960851669311523},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.45453909039497375},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.44352155923843384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.336201012134552},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.24879613518714905},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.09038051962852478},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:scholarsarchive.byu.edu:etd-2167","doi":null,"is_oa":true,"landing_page_url":"https://scholarsarchive.byu.edu/etd/1168","pdf_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2167&context=etd","source":{"id":"https://openalex.org/S4377196308","display_name":"ScholarsArchive  (Brigham Young University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I100005738","host_organization_name":"Brigham Young University","host_organization_lineage":["https://openalex.org/I100005738"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations","raw_type":"text"},{"id":"mag:148663113","doi":null,"is_oa":false,"landing_page_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2167&context=etd","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:scholarsarchive.byu.edu:etd-2167","doi":null,"is_oa":true,"landing_page_url":"https://scholarsarchive.byu.edu/etd/1168","pdf_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2167&context=etd","source":{"id":"https://openalex.org/S4377196308","display_name":"ScholarsArchive  (Brigham Young University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I100005738","host_organization_name":"Brigham Young University","host_organization_lineage":["https://openalex.org/I100005738"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations","raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W148663113.pdf","grobid_xml":"https://content.openalex.org/works/W148663113.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W5371368","https://openalex.org/W42167148","https://openalex.org/W111380745","https://openalex.org/W619497239","https://openalex.org/W1222132880","https://openalex.org/W1648888400","https://openalex.org/W1965717892","https://openalex.org/W1981450160","https://openalex.org/W1987841776","https://openalex.org/W1995617856","https://openalex.org/W2012180062","https://openalex.org/W2051039162","https://openalex.org/W2162729082","https://openalex.org/W2795598039"],"related_works":["https://openalex.org/W1996534572","https://openalex.org/W315906907","https://openalex.org/W5371368","https://openalex.org/W1987841776","https://openalex.org/W72809896","https://openalex.org/W7099309693","https://openalex.org/W7213508675","https://openalex.org/W2474325962","https://openalex.org/W7099434697","https://openalex.org/W1519105804"],"abstract_inverted_index":{"Rasch":[0,26,56,78],"is":[1,29,83,236],"a":[2,13,93,101,118,122,183,203],"mathematical":[3],"model":[4,57,190,277],"that":[5,11,32,72,97,284],"allows":[6],"researchers":[7],"to":[8,50,60,63,165,265,288,297],"compare":[9],"data":[10,23,82,86,231,282,338],"measure":[12],"unidimensional":[14],"trait":[15],"or":[16],"ability":[17,62],"(Bond":[18],"&":[19],"Fox,":[20],"2007).":[21],"When":[22],"fit":[24,76],"the":[25,33,40,52,55,77,143,146,150,156,169,176,179,192,197,218,221,225,233,247,251,270,273,279,292,299,303,315,321,330,340],"model,":[27],"it":[28,285],"mathematically":[30],"proven":[31],"item":[34,66,226,341],"difficulty":[35,67,227],"estimates":[36,68,180,228],"are":[37],"independent":[38,214],"of":[39,42,46,54,103,145,153,158,178,211,217,224,272,294,302,317,332,335],"sample":[41,124,318],"respondents.":[43],"The":[44,85,106,137,160,187,238,255,275],"purpose":[45],"this":[47,89],"study":[48,90,161,219],"was":[49,98,259],"test":[51],"robustness":[53],"with":[58,134,206],"regards":[59],"its":[61,262],"maintain":[64],"invariant":[65,222],"when":[69,229],"real":[70],"(data":[71],"does":[73],"not":[74,289],"perfectly":[75],"model),":[79],"polytomous":[80,230],"scored":[81],"used.":[84,237],"used":[87,162,191],"in":[88,261,283],"comes":[91],"from":[92,117,196,232,305],"university":[94],"alumni":[95,234],"questionnaire":[96,235],"collected":[99],"over":[100,132],"period":[102],"five":[104],"years.":[105],"analysis":[107,239],"tests":[108],"for":[109,246,309],"significant":[110],"variation":[111,131,295,304],"between":[112],"(a)":[113,142,168],"small":[114,266],"samples":[115,128],"taken":[116],"larger":[119],"sample,":[120],"(b)":[121,149,172],"base":[123],"and":[125,129,148,181,209,250,269,324],"subsequent":[126],"(longitudinal)":[127],"(c)":[130,182],"time":[133,157],"confounding":[135,138],"variables.":[136,215],"variables":[139],"studied":[140],"include":[141,312],"gender":[144,208],"respondent":[147],"respondent's":[151],"type":[152,210],"major":[154,212],"at":[155],"graduation.":[159],"three":[163],"methods":[164,287],"assess":[166,298],"variation:":[167],"between-fit":[170,248,322],"statistic,":[171],"confidence":[173,256,267,325],"intervals":[174,326],"around":[175],"mean":[177],"general":[184,188,252],"linear":[185,189,253,276],"model.":[186,254],"person":[193,199],"residual":[194],"statistic":[195,323],"Winsteps'":[198],"output":[200],"file":[201],"as":[202,213,327,329],"dependent":[204],"variable":[205],"year,":[207],"Results":[216],"support":[220],"nature":[223],"found":[240],"comparable":[241],"results":[242],"(within":[243],"sampling":[244],"error)":[245],"statistics":[249],"interval":[257],"method":[258],"limited":[260],"usefulness":[263],"due":[264],"bands":[268],"limitation":[271],"plots.":[274],"offered":[278],"most":[280],"valuable":[281],"provides":[286],"only":[290],"detect":[291],"existence":[293],"but":[296],"relative":[300],"magnitude":[301],"different":[306],"sources.":[307],"Recommendations":[308],"future":[310],"research":[311],"studies":[313],"regarding":[314],"impact":[316,331],"size":[319],"on":[320,339],"well":[328],"large":[333],"amounts":[334],"systematic":[336],"missing":[337],"parameter":[342],"estimates.":[343]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2026-08-31T07:19:18.363097","created_date":"2016-06-24T00:00:00"}