{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/87416"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/87416","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"DIMTEST Enhancements and Some Parametric IRT Asymptotics","abstract":"The joint consistency of item and ability parameter estimation remains a challenging problem in IRT parametric modeling. Although many simulation studies have been conducted on the item and ability parameter estimates obtained by joint maximum likelihood estimation which is implemented in LOGIST (Wingersky, Bartaon, & Lord, 1982) procedure, there is no analytical results about the asymptotic properties of these estimates in literature. A preliminary effort is made to joint consistently estimate the item and ability parameters using a new approach under some regularity conditions. It is shown that when uniformly consistent ability parameter estimates are available and used as the true ability values, consistent item parameter estimates exist in a subsequence of their MLE estimates assuming ability parameters are known.","abstract_html":"The joint consistency of item and ability parameter estimation remains a challenging problem in IRT parametric modeling. Although many simulation studies have been conducted on the item and ability parameter estimates obtained by joint maximum likelihood estimation which is implemented in LOGIST (Wingersky, Bartaon, & Lord, 1982) procedure, there is no analytical results about the asymptotic properties of these estimates in literature. A preliminary effort is made to joint consistently estimate the item and ability parameters using a new approach under some regularity conditions. It is shown that when uniformly consistent ability parameter estimates are available and used as the true ability values, consistent item parameter estimates exist in a subsequence of their MLE estimates assuming ability parameters are known.","abstract_has_math":false,"creators":["Gao, Furong"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Statistics","degree_department":null,"school":null,"contributors":["William Stout"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-28T16:02:47Z","date_published":"2015-09-28T16:02:47Z","updated_at":"2026-07-22T22:26:30Z","subjects":["Statistics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI9812592"],"render_values":[{"text":"(MiAaPQ)AAI9812592","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/87416","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["William Stout"]},{"key":"dc:creator","label":"Author","values":["Gao, Furong"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-28T16:02:47Z","10000-01-01","1997"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Statistics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Statistics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/87416","(MiAaPQ)AAI9812592"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The joint consistency of item and ability parameter estimation remains a challenging problem in IRT parametric modeling. Although many simulation studies have been conducted on the item and ability parameter estimates obtained by joint maximum likelihood estimation which is implemented in LOGIST (Wingersky, Bartaon, & Lord, 1982) procedure, there is no analytical results about the asymptotic properties of these estimates in literature. A preliminary effort is made to joint consistently estimate the item and ability parameters using a new approach under some regularity conditions. It is shown that when uniformly consistent ability parameter estimates are available and used as the true ability values, consistent item parameter estimates exist in a subsequence of their MLE estimates assuming ability parameters are known.","Made available in DSpace on 2015-09-28T16:02:47Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9812592.pdf: 2981869 bytes, checksum: 548f1de75bdba82d45d1ff749f37ead3 (MD5) Previous issue date: 1997","Embargo set by: Seth Robbins for item 88697 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","112 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997."]},{"key":"dc:title","label":"Title","values":["DIMTEST Enhancements and Some Parametric IRT Asymptotics"]}]}],"canonical_facts":{"dc:contributor":["William Stout"],"dc:creator":["Gao, Furong"],"dc:date":["2015-09-28T16:02:47Z","10000-01-01","1997"],"dc:description":["The joint consistency of item and ability parameter estimation remains a challenging problem in IRT parametric modeling. Although many simulation studies have been conducted on the item and ability parameter estimates obtained by joint maximum likelihood estimation which is implemented in LOGIST (Wingersky, Bartaon, & Lord, 1982) procedure, there is no analytical results about the asymptotic properties of these estimates in literature. A preliminary effort is made to joint consistently estimate the item and ability parameters using a new approach under some regularity conditions. It is shown that when uniformly consistent ability parameter estimates are available and used as the true ability values, consistent item parameter estimates exist in a subsequence of their MLE estimates assuming ability parameters are known.","Made available in DSpace on 2015-09-28T16:02:47Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9812592.pdf: 2981869 bytes, checksum: 548f1de75bdba82d45d1ff749f37ead3 (MD5) Previous issue date: 1997","Embargo set by: Seth Robbins for item 88697 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","112 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997."],"dc:identifier":["http://hdl.handle.net/2142/87416","(MiAaPQ)AAI9812592"],"dc:language":["eng"],"dc:subject":["Statistics"],"dc:title":["DIMTEST Enhancements and Some Parametric IRT Asymptotics"],"dc:type":["text"],"thesis:degree_discipline":["Statistics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:30Z"}