{"id":"https://openalex.org/W353426436","doi":"https://doi.org/10.22237/jmasm/1335845580","title":"Parameter Estimation with Mixture Item Response Theory Models: A Monte Carlo Comparison of Maximum Likelihood and Bayesian Methods","display_name":"Parameter Estimation with Mixture Item Response Theory Models: A Monte Carlo Comparison of Maximum Likelihood and Bayesian Methods","publication_year":2012,"publication_date":"2012-05-01","ids":{"openalex":"https://openalex.org/W353426436","doi":"https://doi.org/10.22237/jmasm/1335845580","mag":"353426436"},"language":"en","primary_location":{"id":"doi:10.22237/jmasm/1335845580","doi":"https://doi.org/10.22237/jmasm/1335845580","is_oa":true,"landing_page_url":"https://doi.org/10.22237/jmasm/1335845580","pdf_url":"https://jmasm.com/index.php/jmasm/article/download/596/597","source":{"id":"https://openalex.org/S180782769","display_name":"Journal of Modern Applied Statistical Methods","issn_l":"1538-9472","issn":["1538-9472","2950-4600"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-4","vabb-shw"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Modern Applied Statistical Methods","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://jmasm.com/index.php/jmasm/article/download/596/597","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030652122","display_name":"W. Holmes Finch","orcid":"https://orcid.org/0000-0003-0393-2906","observed_orcids":["https://orcid.org/0000-0003-0393-2906"]},"institutions":[{"id":"https://openalex.org/I198089087","display_name":"Ball State University","ror":"https://ror.org/00k6tx165","country_code":"US","type":"education","lineage":["https://openalex.org/I198089087"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Holmes Finch","raw_affiliation_strings":["Ball State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ball State University","institution_ids":["https://openalex.org/I198089087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008091461","display_name":"Brian F. French","orcid":"https://orcid.org/0000-0002-3896-7888","observed_orcids":["https://orcid.org/0000-0002-3896-7888"]},"institutions":[{"id":"https://openalex.org/I72951846","display_name":"Washington State University","ror":"https://ror.org/05dk0ce17","country_code":"US","type":"education","lineage":["https://openalex.org/I72951846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian F. French","raw_affiliation_strings":["Washington State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Washington State University","institution_ids":["https://openalex.org/I72951846"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4242,"has_fulltext":true,"cited_by_count":35,"citation_normalized_percentile":{"value":0.68572199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"1","first_page":"167","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10467","display_name":"Psychometric Methodologies and Testing","score":0.9887999892234802,"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":0.9887999892234802,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.0034000000450760126,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.002300000051036477,"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/mixture-item-response-theory","display_name":"mixture item response theory","score":0.9929999709129333},{"id":"https://openalex.org/keywords/maximum-likelihood-estimation","display_name":"maximum likelihood estimation","score":0.8169999718666077},{"id":"https://openalex.org/keywords/bayesian-estimation","display_name":"Bayesian estimation","score":0.9330000281333923},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.9700000286102295},{"id":"https://openalex.org/keywords/item-parameter-estimation","display_name":"item parameter estimation","score":0.800000011920929},{"id":"https://openalex.org/keywords/item-difficulty","display_name":"item difficulty","score":0.8209999799728394},{"id":"https://openalex.org/keywords/item-discrimination","display_name":"item discrimination","score":0.9959999918937683},{"id":"https://openalex.org/keywords/classification-accuracy","display_name":"classification accuracy","score":0.7110000252723694},{"id":"https://openalex.org/keywords/small-sample-size","display_name":"small sample size","score":0.5350000262260437}],"concepts":[{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.8016386032104492},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.7396125793457031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7090522050857544},{"id":"https://openalex.org/C19875794","wikidata":"https://www.wikidata.org/wiki/Q1207340","display_name":"Item response theory","level":3,"score":0.585158109664917},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5772000551223755},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5376286506652832},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5080256462097168},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.49542558193206787},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.49372586607933044},{"id":"https://openalex.org/C68022304","wikidata":"https://www.wikidata.org/wiki/Q842217","display_name":"Bayes estimator","level":3,"score":0.4660336375236511},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.41144752502441406},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.34867244958877563},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.07664906978607178}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22237/jmasm/1335845580","doi":"https://doi.org/10.22237/jmasm/1335845580","is_oa":true,"landing_page_url":"https://doi.org/10.22237/jmasm/1335845580","pdf_url":"https://jmasm.com/index.php/jmasm/article/download/596/597","source":{"id":"https://openalex.org/S180782769","display_name":"Journal of Modern Applied Statistical Methods","issn_l":"1538-9472","issn":["1538-9472","2950-4600"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-4","vabb-shw"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Modern Applied Statistical Methods","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.wayne.edu:jmasm-1069","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.wayne.edu/jmasm/vol11/iss1/14","pdf_url":null,"source":{"id":"https://openalex.org/S171990522","display_name":"Human Biology","issn_l":"0018-7143","issn":["0018-7143","1534-6617"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Modern Applied Statistical Methods","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22237/jmasm/1335845580","doi":"https://doi.org/10.22237/jmasm/1335845580","is_oa":true,"landing_page_url":"https://doi.org/10.22237/jmasm/1335845580","pdf_url":"https://jmasm.com/index.php/jmasm/article/download/596/597","source":{"id":"https://openalex.org/S180782769","display_name":"Journal of Modern Applied Statistical Methods","issn_l":"1538-9472","issn":["1538-9472","2950-4600"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-4","vabb-shw"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Modern Applied Statistical Methods","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W353426436.pdf","grobid_xml":"https://content.openalex.org/works/W353426436.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W101844442","https://openalex.org/W125369191","https://openalex.org/W615644768","https://openalex.org/W1498008679","https://openalex.org/W1978456583","https://openalex.org/W1990182882","https://openalex.org/W1993440370","https://openalex.org/W1993794795","https://openalex.org/W2033993265","https://openalex.org/W2038464711","https://openalex.org/W2055682091","https://openalex.org/W2056188669","https://openalex.org/W2078502323","https://openalex.org/W2107617661","https://openalex.org/W2113315106","https://openalex.org/W2127300146","https://openalex.org/W2130019680","https://openalex.org/W2170392042","https://openalex.org/W2305425683","https://openalex.org/W2336704236","https://openalex.org/W2488895699"],"related_works":["https://openalex.org/W7100353936","https://openalex.org/W2186594004","https://openalex.org/W4312093441","https://openalex.org/W2759759884","https://openalex.org/W4396981358","https://openalex.org/W2052992871","https://openalex.org/W2020090407","https://openalex.org/W7095078075","https://openalex.org/W7002187167","https://openalex.org/W2076900745"],"abstract_inverted_index":{"The":[0],"Mixture":[1],"Item":[2],"Response":[3],"Theory":[4],"(MixIRT)":[5],"can":[6],"be":[7],"used":[8],"to":[9,20],"identify":[10],"latent":[11,78],"classes":[12],"of":[13,31,74,77,133],"examinees":[14],"in":[15],"data":[16],"as":[17,19,25],"well":[18],"estimate":[21],"item":[22,88],"parameters":[23],"such":[24],"difficulty":[26,61],"and":[27,40,56,62,67,86,103,111,121,129,138],"discrimination":[28],"for":[29,53,60,108,126,136],"each":[30],"the":[32,45],"groups.":[33],"Parameter":[34],"estimation":[35,42,58],"via":[36],"maximum":[37],"likelihood":[38],"(MLE)":[39],"Bayesian":[41],"based":[43],"on":[44],"Markov":[46],"Chain":[47],"Monte":[48],"Carlo":[49],"(MCMC)":[50],"are":[51,140],"compared":[52,71],"classification":[54],"accuracy":[55],"parameter":[57,106,124],"bias":[59],"discrimination.":[63],"Standard":[64],"error":[65],"magnitude":[66],"coverage":[68],"rates":[69],"were":[70],"across":[72,101],"number":[73,76],"items,":[75],"groups,":[79],"group":[80,98],"size":[81,85],"ratio,":[82],"total":[83],"sample":[84],"underlying":[87],"response":[89],"model.":[90],"Results":[91],"show":[92],"that":[93],"MCMC":[94,120],"provides":[95],"more":[96,104,122,130],"accurate":[97,105,123],"membership":[99],"recovery":[100],"conditions":[102],"estimates":[107,125],"smaller":[109],"samples":[110,128],"fewer":[112],"items.":[113,131],"MLE":[114],"produces":[115],"narrower":[116],"confidence":[117],"intervals":[118],"than":[119],"larger":[127],"Implications":[132],"these":[134],"results":[135],"research":[137],"practice":[139],"discussed.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}