{"id":"https://openalex.org/W1519794853","doi":"https://doi.org/10.1007/978-3-540-87563-5_10","title":"Contingency Matrix Theory I: Rank and Statistical Independence in a Contigency Table","display_name":"Contingency Matrix Theory I: Rank and Statistical Independence in a Contigency Table","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1519794853","doi":"https://doi.org/10.1007/978-3-540-87563-5_10","mag":"1519794853"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87563-5_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87563-5_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006566635","display_name":"Shusaku Tsumoto","orcid":"https://orcid.org/0000-0001-6651-976X"},"institutions":[{"id":"https://openalex.org/I169016828","display_name":"Shimane University","ror":"https://ror.org/01jaaym28","country_code":"JP","type":"education","lineage":["https://openalex.org/I169016828"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shusaku Tsumoto","raw_affiliation_strings":["Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan","Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Shimane, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan","institution_ids":["https://openalex.org/I169016828"]},{"raw_affiliation_string":"Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Shimane, Japan","institution_ids":["https://openalex.org/I169016828"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101010094","display_name":"Shoji Hirano","orcid":null},"institutions":[{"id":"https://openalex.org/I169016828","display_name":"Shimane University","ror":"https://ror.org/01jaaym28","country_code":"JP","type":"education","lineage":["https://openalex.org/I169016828"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shoji Hirano","raw_affiliation_strings":["Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan","Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Shimane, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan","institution_ids":["https://openalex.org/I169016828"]},{"raw_affiliation_string":"Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Shimane, Japan","institution_ids":["https://openalex.org/I169016828"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3841,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59432352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5150","issue":null,"first_page":"161","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/contingency-table","display_name":"Contingency table","score":0.9074368476867676},{"id":"https://openalex.org/keywords/collinearity","display_name":"Collinearity","score":0.7101191282272339},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.6834337115287781},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.5975856184959412},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5154320001602173},{"id":"https://openalex.org/keywords/row-and-column-spaces","display_name":"Row and column spaces","score":0.49383506178855896},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.47979527711868286},{"id":"https://openalex.org/keywords/conditional-independence","display_name":"Conditional independence","score":0.47602134943008423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4729993939399719},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.44792836904525757},{"id":"https://openalex.org/keywords/contingency","display_name":"Contingency","score":0.443403422832489},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43980327248573303},{"id":"https://openalex.org/keywords/statistical-theory","display_name":"Statistical theory","score":0.4311259388923645},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42552340030670166},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34373509883880615},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.305616557598114},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18797144293785095},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1497383713722229}],"concepts":[{"id":"https://openalex.org/C91998498","wikidata":"https://www.wikidata.org/wiki/Q1541178","display_name":"Contingency table","level":2,"score":0.9074368476867676},{"id":"https://openalex.org/C106192678","wikidata":"https://www.wikidata.org/wiki/Q1419761","display_name":"Collinearity","level":2,"score":0.7101191282272339},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6834337115287781},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.5975856184959412},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5154320001602173},{"id":"https://openalex.org/C104140500","wikidata":"https://www.wikidata.org/wiki/Q2088159","display_name":"Row and column spaces","level":3,"score":0.49383506178855896},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.47979527711868286},{"id":"https://openalex.org/C79772020","wikidata":"https://www.wikidata.org/wiki/Q5159264","display_name":"Conditional independence","level":2,"score":0.47602134943008423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4729993939399719},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.44792836904525757},{"id":"https://openalex.org/C97508593","wikidata":"https://www.wikidata.org/wiki/Q1359069","display_name":"Contingency","level":2,"score":0.443403422832489},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43980327248573303},{"id":"https://openalex.org/C48057537","wikidata":"https://www.wikidata.org/wiki/Q3551145","display_name":"Statistical theory","level":2,"score":0.4311259388923645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42552340030670166},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34373509883880615},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.305616557598114},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18797144293785095},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1497383713722229},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-87563-5_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87563-5_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"mag:3162639330","is_oa":false,"landing_page_url":"https://jglobal.jst.go.jp/detail?JGLOBAL_ID=200902226719392130","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Lecture notes in computer science","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1488246361","https://openalex.org/W1587782513","https://openalex.org/W1592094058","https://openalex.org/W1607429971","https://openalex.org/W1969463949","https://openalex.org/W1992107931","https://openalex.org/W2035055162","https://openalex.org/W2153676086","https://openalex.org/W2507039649","https://openalex.org/W2798180542","https://openalex.org/W6651248097"],"related_works":["https://openalex.org/W2905020035","https://openalex.org/W2053809219","https://openalex.org/W1513625712","https://openalex.org/W2951868432","https://openalex.org/W4300294221","https://openalex.org/W2919086561","https://openalex.org/W2103890637","https://openalex.org/W2119414932","https://openalex.org/W4247030479","https://openalex.org/W4246390763"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}