{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/82179"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/82179","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Luce's Challenge: Quantitative Models and Statistical Methodology","abstract":"\"Many decision theories are formulated in terms of logical, algebraic statements that are deterministic, in the sense that they do not model a decision process via random variables. Empirical data, on the other hand, are intrinsically outcomes of random variables. Thus, there exists a conceptual and mathematical gap between deterministic decision theories and the empirical data used to test those theories. This body of work attempts to resolve this \"\"gap\"\" between deterministic models of decision making and the data collected to test them. I provide general methodologies to transform deterministic theories into probabilistic ones as well as develop general statistical methodologies to test these new, suitably transformed, decision theories. Under this framework, I examine the axiom of transitivity and the non-compensatory lexicographic semiorder model in detail.\"","abstract_html":""Many decision theories are formulated in terms of logical, algebraic statements that are deterministic, in the sense that they do not model a decision process via random variables. Empirical data, on the other hand, are intrinsically outcomes of random variables. Thus, there exists a conceptual and mathematical gap between deterministic decision theories and the empirical data used to test those theories. This body of work attempts to resolve this ""gap"" between deterministic models of decision making and the data collected to test them. I provide general methodologies to transform deterministic theories into probabilistic ones as well as develop general statistical methodologies to test these new, suitably transformed, decision theories. Under this framework, I examine the axiom of transitivity and the non-compensatory lexicographic semiorder model in detail."","abstract_has_math":false,"creators":["Stober, Clintin P."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Psychology","degree_department":null,"school":null,"contributors":["Regenwetter, Michel"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:39:28Z","date_published":"2015-09-25T20:39:28Z","updated_at":"2026-07-22T22:26:17Z","subjects":["Psychology, Cognitive"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3363096"],"render_values":[{"text":"(MiAaPQ)AAI3363096","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/82179","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Regenwetter, Michel"]},{"key":"dc:creator","label":"Author","values":["Stober, Clintin P."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:39:28Z","10000-01-01","2009"]},{"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, 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/2142/82179","(MiAaPQ)AAI3363096"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"Many decision theories are formulated in terms of logical, algebraic statements that are deterministic, in the sense that they do not model a decision process via random variables. Empirical data, on the other hand, are intrinsically outcomes of random variables. Thus, there exists a conceptual and mathematical gap between deterministic decision theories and the empirical data used to test those theories. This body of work attempts to resolve this \"\"gap\"\" between deterministic models of decision making and the data collected to test them. I provide general methodologies to transform deterministic theories into probabilistic ones as well as develop general statistical methodologies to test these new, suitably transformed, decision theories. Under this framework, I examine the axiom of transitivity and the non-compensatory lexicographic semiorder model in detail.\"","Made available in DSpace on 2015-09-25T20:39:28Z (GMT). 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Empirical data, on the other hand, are intrinsically outcomes of random variables. Thus, there exists a conceptual and mathematical gap between deterministic decision theories and the empirical data used to test those theories. This body of work attempts to resolve this \"\"gap\"\" between deterministic models of decision making and the data collected to test them. I provide general methodologies to transform deterministic theories into probabilistic ones as well as develop general statistical methodologies to test these new, suitably transformed, decision theories. Under this framework, I examine the axiom of transitivity and the non-compensatory lexicographic semiorder model in detail.\"","Made available in DSpace on 2015-09-25T20:39:28Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3363096.pdf: 2791700 bytes, checksum: 26287b4d1b45117da967e05bfc561fdf (MD5) Previous issue date: 2009","Embargo set by: Seth Robbins for item 83460 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","187 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009."],"dc:identifier":["http://hdl.handle.net/2142/82179","(MiAaPQ)AAI3363096"],"dc:language":["eng"],"dc:subject":["Psychology, Cognitive"],"dc:title":["Luce's Challenge: Quantitative Models and Statistical Methodology"],"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":"2026-07-22T22:26:17Z"}