{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/69641"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/69641","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Assessment and Comparison of Techniques for Transforming Parameters to a Common Metric in Item Response Theory","abstract":"Seven different techniques for transforming two sets of parameters to a common metric in item response theory were evaluated. These techniques include three techniques that estimate the transformation by equating the first two moments of the distributions of estimated difficulty parameters. Another three techniques are included that estimate the transformation by minimizing sums of squares criteria. The remaining technique (MLE) finds the scale transformation that maximizes the likelihood of observing vectors of item parameter differences. Results indicate that for calibrations with a small number of items with extreme estimated difficulty values all techniques perform satisfactorily for moderate sample sizes (500 subjects) and test lengths (60 items). With a large number of extreme estimated difficulty values the three sums of squares and MLE techniques perform satisfactorily, while the difficulty parameter techniques do not. The MLE technique appears poorly suited for smaller samples (500 subjects) and shorter tests (30 items).","abstract_html":"Seven different techniques for transforming two sets of parameters to a common metric in item response theory were evaluated. These techniques include three techniques that estimate the transformation by equating the first two moments of the distributions of estimated difficulty parameters. Another three techniques are included that estimate the transformation by minimizing sums of squares criteria. The remaining technique (MLE) finds the scale transformation that maximizes the likelihood of observing vectors of item parameter differences. Results indicate that for calibrations with a small number of items with extreme estimated difficulty values all techniques perform satisfactorily for moderate sample sizes (500 subjects) and test lengths (60 items). With a large number of extreme estimated difficulty values the three sums of squares and MLE techniques perform satisfactorily, while the difficulty parameter techniques do not. The MLE technique appears poorly suited for smaller samples (500 subjects) and shorter tests (30 items).","abstract_has_math":false,"creators":["Segall, Daniel Owen"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Psychology","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-15T19:45:53Z","date_published":"2014-12-15T19:45:53Z","updated_at":"2026-07-22T22:26:01Z","subjects":["Psychology, Industrial"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8410043"],"render_values":[{"text":"(UMI)AAI8410043","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/69641","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Segall, Daniel Owen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-15T19:45:53Z","10000-01-01","1983"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Psychology"]},{"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":["Psychology, Industrial"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/69641","(UMI)AAI8410043"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Seven different techniques for transforming two sets of parameters to a common metric in item response theory were evaluated. These techniques include three techniques that estimate the transformation by equating the first two moments of the distributions of estimated difficulty parameters. Another three techniques are included that estimate the transformation by minimizing sums of squares criteria. The remaining technique (MLE) finds the scale transformation that maximizes the likelihood of observing vectors of item parameter differences. Results indicate that for calibrations with a small number of items with extreme estimated difficulty values all techniques perform satisfactorily for moderate sample sizes (500 subjects) and test lengths (60 items). With a large number of extreme estimated difficulty values the three sums of squares and MLE techniques perform satisfactorily, while the difficulty parameter techniques do not. The MLE technique appears poorly suited for smaller samples (500 subjects) and shorter tests (30 items).","Made available in DSpace on 2014-12-15T19:45:53Z (GMT). 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These techniques include three techniques that estimate the transformation by equating the first two moments of the distributions of estimated difficulty parameters. Another three techniques are included that estimate the transformation by minimizing sums of squares criteria. The remaining technique (MLE) finds the scale transformation that maximizes the likelihood of observing vectors of item parameter differences. Results indicate that for calibrations with a small number of items with extreme estimated difficulty values all techniques perform satisfactorily for moderate sample sizes (500 subjects) and test lengths (60 items). With a large number of extreme estimated difficulty values the three sums of squares and MLE techniques perform satisfactorily, while the difficulty parameter techniques do not. The MLE technique appears poorly suited for smaller samples (500 subjects) and shorter tests (30 items).","Made available in DSpace on 2014-12-15T19:45:53Z (GMT). No. of bitstreams: 1 8410043.pdf: 3878579 bytes, checksum: d7c10f46a25047087962a4f7c4054c51 (MD5) Previous issue date: 1983","Embargo set by: Seth Robbins for item 69807 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","141 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1983."],"dc:identifier":["http://hdl.handle.net/2142/69641","(UMI)AAI8410043"],"dc:subject":["Psychology, Industrial"],"dc:title":["Assessment and Comparison of Techniques for Transforming Parameters to a Common Metric in Item Response Theory"],"dc:type":["text"],"thesis:degree_discipline":["Psychology"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:01Z"}