{"id":"https://openalex.org/W2109598651","doi":"https://doi.org/10.1109/icsmc.2009.5346334","title":"Pearson residuals in multi-way contingency tables","display_name":"Pearson residuals in multi-way contingency tables","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W2109598651","doi":"https://doi.org/10.1109/icsmc.2009.5346334","mag":"2109598651"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2009.5346334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5346334","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Systems, Man and Cybernetics","raw_type":"proceedings-article"},"type":"article","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":true,"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 89-1 Enya-cho Izumo 693-8501 Japan"],"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 89-1 Enya-cho Izumo 693-8501 Japan","institution_ids":["https://openalex.org/I169016828"]}]},{"author_position":"middle","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 89-1 Enya-cho Izumo 693-8501 Japan"],"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 89-1 Enya-cho Izumo 693-8501 Japan","institution_ids":["https://openalex.org/I169016828"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058700765","display_name":"Hidenao Abe","orcid":"https://orcid.org/0000-0003-0867-0925"},"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":"Hidenao Abe","raw_affiliation_strings":["Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan","Department of Medical Informatics, Faculty of Medicine, Shimane University 89-1 Enya-cho Izumo 693-8501 Japan"],"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 89-1 Enya-cho Izumo 693-8501 Japan","institution_ids":["https://openalex.org/I169016828"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006566635"],"corresponding_institution_ids":["https://openalex.org/I169016828"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15097376,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"90","issue":null,"first_page":"2531","last_page":"2536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9991999864578247,"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":0.9991999864578247,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9829000234603882,"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":0.9626240730285645},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.7468706369400024},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5688312649726868},{"id":"https://openalex.org/keywords/contingency","display_name":"Contingency","score":0.5598094463348389},{"id":"https://openalex.org/keywords/meaning","display_name":"Meaning (existential)","score":0.5140813589096069},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.4782637357711792},{"id":"https://openalex.org/keywords/pearson-product-moment-correlation-coefficient","display_name":"Pearson product-moment correlation coefficient","score":0.4719516336917877},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.4665638506412506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4574403762817383},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.45407968759536743},{"id":"https://openalex.org/keywords/odds","display_name":"Odds","score":0.41615235805511475},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.38188275694847107},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3555462956428528},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2341134250164032},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.09355095028877258},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.08924460411071777},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.07458323240280151}],"concepts":[{"id":"https://openalex.org/C91998498","wikidata":"https://www.wikidata.org/wiki/Q1541178","display_name":"Contingency table","level":2,"score":0.9626240730285645},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.7468706369400024},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5688312649726868},{"id":"https://openalex.org/C97508593","wikidata":"https://www.wikidata.org/wiki/Q1359069","display_name":"Contingency","level":2,"score":0.5598094463348389},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.5140813589096069},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.4782637357711792},{"id":"https://openalex.org/C55078378","wikidata":"https://www.wikidata.org/wiki/Q1136628","display_name":"Pearson product-moment correlation coefficient","level":2,"score":0.4719516336917877},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.4665638506412506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4574403762817383},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.45407968759536743},{"id":"https://openalex.org/C143095724","wikidata":"https://www.wikidata.org/wiki/Q515895","display_name":"Odds","level":3,"score":0.41615235805511475},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.38188275694847107},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3555462956428528},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2341134250164032},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.09355095028877258},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.08924460411071777},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07458323240280151},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C151956035","wikidata":"https://www.wikidata.org/wiki/Q1132755","display_name":"Logistic regression","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2009.5346334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5346334","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Systems, Man and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1764557166","https://openalex.org/W1898688446","https://openalex.org/W1982251472","https://openalex.org/W2033424079","https://openalex.org/W2105215004","https://openalex.org/W2118058731"],"related_works":["https://openalex.org/W2796920651","https://openalex.org/W3001524306","https://openalex.org/W4206843815","https://openalex.org/W2569278110","https://openalex.org/W4210960222","https://openalex.org/W2167998741","https://openalex.org/W90891034","https://openalex.org/W4388406349","https://openalex.org/W3165869498","https://openalex.org/W2389190814"],"abstract_inverted_index":{"This":[0],"paper":[1],"shows":[2],"the":[3],"meaning":[4],"of":[5,11,22,25,33,39,43,46,58],"Pearson":[6],"residuals":[7,47],"as":[8,31,55],"an":[9,56],"indicator":[10],"statistical":[12,23],"independence":[13,24],"in":[14,60],"a":[15],"multi-way":[16],"contingency":[17],"table.":[18],"While":[19],"information":[20],"granules":[21],"two":[26],"variables":[27],"can":[28,52],"be":[29,53],"viewed":[30,54],"determinants":[32,59],"2":[34,61,63],"\u00d7":[35,62],"2-":[36],"submatrices,":[37],"those":[38],"multivariate":[40],"cases":[41],"consist":[42],"linear":[44],"sum":[45],"for":[48],"odds":[49],"ratios,":[50],"which":[51],"extention":[57],"matrices.":[64]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}