{"id":{"repo_id":"queens","oai_identifier":"oai:queensu.scholaris.ca:1974/492"},"canonical_url":"https://search.dev.ndltd.org/etd/queens/oai:queensu.scholaris.ca:1974/492","repository":{"repo_id":"queens","name":"Queens University","base_url":"https://qspace.library.queensu.ca/server/oai/request"},"display":{"title":"Nonparametric statistical procedures for therapeutic clinical trials with survival endpoints","abstract":"This thesis proposed two nonparametric statistical tests, based on the Kolmogorov-Smirnov distance and L2 mallows disatnce. To implement the proposed tests, nonparametric bootstrap method is employed to approximate the distributions of the test statistics to construct the corresponding bootstrap confidence interval procedures. Monte-Carlo simulations are performed to investigate the actual type I error of the proposed bootstrap procedures. It is found that the type I error of the bootstrap BC confidence interval procedure is close to the nominal level when censoring is not heavy and the boosttrap percentile confidence interval procedure works well when Kolmogorov-Smirnov distance is used to characterize the equivalence. When the data is heavily censored, the procedures based on the Kolmogorov-Smirnov distance have very conservative type I errors, while the procedures based on the Mallows distance are very liberal.","abstract_html":"This thesis proposed two nonparametric statistical tests, based on the Kolmogorov-Smirnov distance and L2 mallows disatnce. To implement the proposed tests, nonparametric bootstrap method is employed to approximate the distributions of the test statistics to construct the corresponding bootstrap confidence interval procedures. Monte-Carlo simulations are performed to investigate the actual type I error of the proposed bootstrap procedures. It is found that the type I error of the bootstrap BC confidence interval procedure is close to the nominal level when censoring is not heavy and the boosttrap percentile confidence interval procedure works well when Kolmogorov-Smirnov distance is used to characterize the equivalence. When the data is heavily censored, the procedures based on the Kolmogorov-Smirnov distance have very conservative type I errors, while the procedures based on the Mallows distance are very liberal.","abstract_has_math":false,"creators":["Luo, Yingchun"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Mathematics and Statistics","school":null,"contributors":[],"advisors":["Tu, Dongsheng"],"committee_chairs":[],"committee_members":[],"year":2007,"date_issued":"2007-08-02T16:02:31Z","date_published":"2007-08-02T16:02:31Z","updated_at":"2026-07-27T20:35:31Z","subjects":["Nonparametric statistics","Equivalence clinical trial","Time to event endpoint"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1974/492","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Mathematics and Statistics"]},{"key":"dc:contributor.supervisor","label":"Supervisor","values":["Tu, Dongsheng"]},{"key":"dc:creator","label":"Author","values":["Luo, Yingchun"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2007-07-30 11:40:17.737","2007-08-01 10:43:32.345"]},{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2007-08-02T16:02:31Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2007-08-02T16:02:31Z"]},{"key":"dc:date.issued","label":"Date","values":["2007-08-02T16:02:31Z"]},{"key":"dc:type","label":"Dc Type","values":["thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Nonparametric statistics","Equivalence clinical trial","Time to event endpoint"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1974/492"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2007-08-01 10:43:32.345"]},{"key":"dc:description.abstract","label":"Abstract","values":["This thesis proposed two nonparametric statistical tests, based on the Kolmogorov-Smirnov distance and L2 mallows disatnce. To implement the proposed tests, nonparametric bootstrap method is employed to approximate the distributions of the test statistics to construct the corresponding bootstrap confidence interval procedures. Monte-Carlo simulations are performed to investigate the actual type I error of the proposed bootstrap procedures. It is found that the type I error of the bootstrap BC confidence interval procedure is close to the nominal level when censoring is not heavy and the boosttrap percentile confidence interval procedure works well when Kolmogorov-Smirnov distance is used to characterize the equivalence. When the data is heavily censored, the procedures based on the Kolmogorov-Smirnov distance have very conservative type I errors, while the procedures based on the Mallows distance are very liberal."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["PhD"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Nonparametric statistical procedures for therapeutic clinical trials with survival endpoints"]}]}],"canonical_facts":{"dc:contributor.department":["Mathematics and Statistics"],"dc:contributor.supervisor":["Tu, Dongsheng"],"dc:creator":["Luo, Yingchun"],"dc:date":["2007-07-30 11:40:17.737","2007-08-01 10:43:32.345"],"dc:date.accessioned":["2007-08-02T16:02:31Z"],"dc:date.available":["2007-08-02T16:02:31Z"],"dc:date.issued":["2007-08-02T16:02:31Z"],"dc:description":["Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2007-08-01 10:43:32.345"],"dc:description.abstract":["This thesis proposed two nonparametric statistical tests, based on the Kolmogorov-Smirnov distance and L2 mallows disatnce. To implement the proposed tests, nonparametric bootstrap method is employed to approximate the distributions of the test statistics to construct the corresponding bootstrap confidence interval procedures. Monte-Carlo simulations are performed to investigate the actual type I error of the proposed bootstrap procedures. It is found that the type I error of the bootstrap BC confidence interval procedure is close to the nominal level when censoring is not heavy and the boosttrap percentile confidence interval procedure works well when Kolmogorov-Smirnov distance is used to characterize the equivalence. When the data is heavily censored, the procedures based on the Kolmogorov-Smirnov distance have very conservative type I errors, while the procedures based on the Mallows distance are very liberal."],"dc:description.degree":["PhD"],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/1974/492"],"dc:language.iso":["eng"],"dc:subject":["Nonparametric statistics","Equivalence clinical trial","Time to event endpoint"],"dc:title":["Nonparametric statistical procedures for therapeutic clinical trials with survival endpoints"],"dc:type":["thesis"]},"updated_at":"2026-07-27T20:35:31Z"}