{"id":{"repo_id":"wfu","oai_identifier":"oai:wakespace.lib.wfu.edu:10339/38577"},"canonical_url":"https://search.dev.ndltd.org/etd/wfu/oai:wakespace.lib.wfu.edu:10339/38577","repository":{"repo_id":"wfu","name":"Wake Forest University","base_url":"https://wakespace.lib.wfu.edu/oai/request"},"display":{"title":"HodgeRank: Applying Combinatorial Hodge Theory to Sports Ranking","abstract":"In this thesis, we examine a ranking method called HodgeRank. HodgeRank was introduced in 2008 by Jiang, Lim, Yao and Ye as ``a promising tool for the statistical analysis of ranking, especially for datasets with cardinal, incomplete, and imbalanced information.'' To apply these methods, we require data in the form of pairwise comparisons, meaning each voter would have rated items in pairs. An obvious candidate for ranking data in the form of pairwise comparisons comes from sports, where such comparisons are very natural (i.e. games between two teams). We describe a simple way in which HodgeRank can be used for sports ratings and show how HodgeRank generalizes the well-established sports rating method known as Massey's method.","abstract_html":"In this thesis, we examine a ranking method called HodgeRank. HodgeRank was introduced in 2008 by Jiang, Lim, Yao and Ye as ``a promising tool for the statistical analysis of ranking, especially for datasets with cardinal, incomplete, and imbalanced information.'' To apply these methods, we require data in the form of pairwise comparisons, meaning each voter would have rated items in pairs. An obvious candidate for ranking data in the form of pairwise comparisons comes from sports, where such comparisons are very natural (i.e. games between two teams). We describe a simple way in which HodgeRank can be used for sports ratings and show how HodgeRank generalizes the well-established sports rating method known as Massey's method.","abstract_has_math":false,"creators":["Sizemore, Robert Kelly"],"institution":"Wake Forest University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013","date_published":"2013","updated_at":"2026-07-27T22:01:33Z","subjects":["Graph Theory"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10339/38577","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Sizemore, Robert Kelly"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2013-06-06T21:19:39Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2013-06-06T21:19:39Z"]},{"key":"dc:date.issued","label":"Date","values":["2013"]},{"key":"dc:publisher","label":"Institution","values":["Wake Forest University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Graph Theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10339/38577"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis, we examine a ranking method called HodgeRank. HodgeRank was introduced in 2008 by Jiang, Lim, Yao and Ye as ``a promising tool for the statistical analysis of ranking, especially for datasets with cardinal, incomplete, and imbalanced information.'' To apply these methods, we require data in the form of pairwise comparisons, meaning each voter would have rated items in pairs. An obvious candidate for ranking data in the form of pairwise comparisons comes from sports, where such comparisons are very natural (i.e. games between two teams). We describe a simple way in which HodgeRank can be used for sports ratings and show how HodgeRank generalizes the well-established sports rating method known as Massey's method."]},{"key":"dc:title","label":"Title","values":["HodgeRank: Applying Combinatorial Hodge Theory to Sports Ranking"]}]}],"canonical_facts":{"dc:creator":["Sizemore, Robert Kelly"],"dc:date.accessioned":["2013-06-06T21:19:39Z"],"dc:date.available":["2013-06-06T21:19:39Z"],"dc:date.issued":["2013"],"dc:description.abstract":["In this thesis, we examine a ranking method called HodgeRank. HodgeRank was introduced in 2008 by Jiang, Lim, Yao and Ye as ``a promising tool for the statistical analysis of ranking, especially for datasets with cardinal, incomplete, and imbalanced information.'' To apply these methods, we require data in the form of pairwise comparisons, meaning each voter would have rated items in pairs. An obvious candidate for ranking data in the form of pairwise comparisons comes from sports, where such comparisons are very natural (i.e. games between two teams). We describe a simple way in which HodgeRank can be used for sports ratings and show how HodgeRank generalizes the well-established sports rating method known as Massey's method."],"dc:identifier.uri":["http://hdl.handle.net/10339/38577"],"dc:language.iso":["en"],"dc:publisher":["Wake Forest University"],"dc:subject":["Graph Theory"],"dc:title":["HodgeRank: Applying Combinatorial Hodge Theory to Sports Ranking"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T22:01:33Z"}