{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/87393"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/87393","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A Bayesian Framework for the Unified Model for Assessing Cognitive Abilities: Blending Theory With Practicality","abstract":"This thesis presents a progression from theory development to real-data application. Chapter 1 gives a literature review of other psychometric models for formative assessment, or cognitive diagnosis models, as an introduction to the Reparameterized Unified Model (RUM), a statistically identifiable, practical cognitive diagnosis model developed by the author from the Unified Model of DiBello, Stout & Roussos (1995). At the end of Chapter 1, a Bayesian framework is given to the model in preparation for the discussion in Chapter 2 of the Markov Chain Monte Carlo algorithm used to estimate the RUM model parameters. Then, the estimation accuracy of the algorithm and the robustness of the estimation is assessed in Chapter 3 with a series of simulation studies. Chapter 4 presents a cognitive diagnosis application of the methodology to data from the preliminary SAT test (PSAT), using the skills-based cognitive structure of the test developed by scientists at the Educational Testing Service. Finally, Chapter 5 gives a cognitive diagnosis of an ACT math test, where the development of skills and the cognitive structure of the test using statistical properties of the test is developed as a more efficient approach to cognitive diagnosis. The progression of this thesis from theory to application provides practitioners with a robust, practical solution to formative assessment.","abstract_html":"This thesis presents a progression from theory development to real-data application. Chapter 1 gives a literature review of other psychometric models for formative assessment, or cognitive diagnosis models, as an introduction to the Reparameterized Unified Model (RUM), a statistically identifiable, practical cognitive diagnosis model developed by the author from the Unified Model of DiBello, Stout & Roussos (1995). At the end of Chapter 1, a Bayesian framework is given to the model in preparation for the discussion in Chapter 2 of the Markov Chain Monte Carlo algorithm used to estimate the RUM model parameters. Then, the estimation accuracy of the algorithm and the robustness of the estimation is assessed in Chapter 3 with a series of simulation studies. Chapter 4 presents a cognitive diagnosis application of the methodology to data from the preliminary SAT test (PSAT), using the skills-based cognitive structure of the test developed by scientists at the Educational Testing Service. Finally, Chapter 5 gives a cognitive diagnosis of an ACT math test, where the development of skills and the cognitive structure of the test using statistical properties of the test is developed as a more efficient approach to cognitive diagnosis. The progression of this thesis from theory to application provides practitioners with a robust, practical solution to formative assessment.","abstract_has_math":false,"creators":["Hartz, Sarah McConnell"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Statistics","degree_department":null,"school":null,"contributors":["Stout, William F."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-28T16:02:39Z","date_published":"2015-09-28T16:02:39Z","updated_at":"2026-07-22T22:26:30Z","subjects":["Psychology, Cognitive"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3044108"],"render_values":[{"text":"(MiAaPQ)AAI3044108","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/87393","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Stout, William F."]},{"key":"dc:creator","label":"Author","values":["Hartz, Sarah McConnell"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-28T16:02:39Z","10000-01-01","2002"]},{"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":["Psychology, Cognitive"]}]},{"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/2142/87393","(MiAaPQ)AAI3044108"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis presents a progression from theory development to real-data application. 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