{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/21448"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/21448","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Admissibility ofp-value rules","abstract":"This work deals with a decision-theoretic evaluation of p-value rules. A test statistic is judged on the behavior of its p-value with the loss function being an increasing function G of the p-value.","abstract_html":"This work deals with a decision-theoretic evaluation of p-value rules. A test statistic is judged on the behavior of its p-value with the loss function being an increasing function G of the p-value.","abstract_has_math":false,"creators":["Thompson, Peter Michael"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Statistics","degree_department":null,"school":null,"contributors":["Marden, John I."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:08:56Z","date_published":"2011-05-07T13:08:56Z","updated_at":"2026-07-22T22:25:18Z","subjects":["Statistics"],"languages":["eng"],"rights":["Copyright 1989 Thompson, Peter Michael"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9011052","(UMI)AAI9011052"],"render_values":[{"text":"AAI9011052","href":null,"code":true},{"text":"(UMI)AAI9011052","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/21448","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Marden, John I."]},{"key":"dc:creator","label":"Author","values":["Thompson, Peter Michael"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:08:56Z","10000-01-01","1989"]},{"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"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1989 Thompson, Peter Michael"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9011052","(UMI)AAI9011052","http://hdl.handle.net/2142/21448"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This work deals with a decision-theoretic evaluation of p-value rules. A test statistic is judged on the behavior of its p-value with the loss function being an increasing function G of the p-value.","Examples are presented in which every fixed-level test based on a statistic is admissible, but the corresponding p-value is inadmissible. It is also shown that if a statistic has an admissible p-value, all of its corresponding fixed-level tests are admissible.","In addition, Bayes p-values are investigated. It is shown that Bayes p-values and their weak limits form an essentially complete class. Also, the set of p-values which are Bayes typically does not depend on the particular loss function G being used.","Finally, the case where the parameter space is compact is looked into. A characterization is given of an essentially complete class of p-values.","Made available in DSpace on 2011-05-07T13:08:56Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9011052.pdf: 1281844 bytes, checksum: f21f98c426ed3e3b0cdf2bfaa7b1be76 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:50:51Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:23:16-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Admissibility ofp-value rules"]}]}],"canonical_facts":{"dc:contributor":["Marden, John I."],"dc:creator":["Thompson, Peter Michael"],"dc:date":["2011-05-07T13:08:56Z","10000-01-01","1989"],"dc:description":["This work deals with a decision-theoretic evaluation of p-value rules. A test statistic is judged on the behavior of its p-value with the loss function being an increasing function G of the p-value.","Examples are presented in which every fixed-level test based on a statistic is admissible, but the corresponding p-value is inadmissible. It is also shown that if a statistic has an admissible p-value, all of its corresponding fixed-level tests are admissible.","In addition, Bayes p-values are investigated. It is shown that Bayes p-values and their weak limits form an essentially complete class. Also, the set of p-values which are Bayes typically does not depend on the particular loss function G being used.","Finally, the case where the parameter space is compact is looked into. A characterization is given of an essentially complete class of p-values.","Made available in DSpace on 2011-05-07T13:08:56Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9011052.pdf: 1281844 bytes, checksum: f21f98c426ed3e3b0cdf2bfaa7b1be76 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:50:51Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:23:16-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"],"dc:identifier":["AAI9011052","(UMI)AAI9011052","http://hdl.handle.net/2142/21448"],"dc:language":["eng"],"dc:rights":["Copyright 1989 Thompson, Peter Michael"],"dc:subject":["Statistics"],"dc:title":["Admissibility ofp-value rules"],"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":"2026-07-22T22:25:18Z"}