{"id":"https://openalex.org/W1553429221","doi":"https://doi.org/10.1007/978-3-642-57489-4_86","title":"Statistical Inference for a Robust Measure of Multiple Correlation","display_name":"Statistical Inference for a Robust Measure of Multiple Correlation","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1553429221","doi":"https://doi.org/10.1007/978-3-642-57489-4_86","mag":"1553429221"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-57489-4_86","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-57489-4_86","pdf_url":null,"source":{"id":"https://openalex.org/S4306506691","display_name":"COMPSTAT","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Compstat","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/A5002550537","display_name":"Catherine Dehon","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Catherine Dehon","raw_affiliation_strings":["Ecares and Institut de Statistique, Universit\u00e9 Libre de Bruxelles, CP 114, Av. F.D. Roosevelt 50, B-1050, Bruxelles, Belgium","Ecares and Institut de Statistique, Universit\u00e9 Libre de Bruxelles, Bruxelles, Belgium"],"affiliations":[{"raw_affiliation_string":"Ecares and Institut de Statistique, Universit\u00e9 Libre de Bruxelles, CP 114, Av. F.D. Roosevelt 50, B-1050, Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Ecares and Institut de Statistique, Universit\u00e9 Libre de Bruxelles, Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025083815","display_name":"Christophe Croux","orcid":"https://orcid.org/0000-0003-2912-3437"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Christophe Croux","raw_affiliation_strings":["Departement of Applied Economics, Katholieke Universiteit Leuven, Naamsestraat 69, B-3000, Leuven, Belgium","Departement of Applied Economics, Katholieke Universiteit Leuven, Leuven, Belgium"],"affiliations":[{"raw_affiliation_string":"Departement of Applied Economics, Katholieke Universiteit Leuven, Naamsestraat 69, B-3000, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Departement of Applied Economics, Katholieke Universiteit Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002550537"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":null,"apc_paid":null,"fwci":2.1494,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.87886598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"557","last_page":"562"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9775000214576721,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6794533729553223},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.6737193465232849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6665182113647461},{"id":"https://openalex.org/keywords/robust-statistics","display_name":"Robust statistics","score":0.6309958696365356},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6274223327636719},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.617906928062439},{"id":"https://openalex.org/keywords/robust-regression","display_name":"Robust regression","score":0.6077032089233398},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5587690472602844},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.49865007400512695},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.49139609932899475},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.44142186641693115},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.43641796708106995},{"id":"https://openalex.org/keywords/truncated-mean","display_name":"Truncated mean","score":0.41797545552253723},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.41523391008377075},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3720942735671997},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24964332580566406},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.21217799186706543},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15219643712043762}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6794533729553223},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.6737193465232849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6665182113647461},{"id":"https://openalex.org/C67226441","wikidata":"https://www.wikidata.org/wiki/Q1665389","display_name":"Robust statistics","level":3,"score":0.6309958696365356},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6274223327636719},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.617906928062439},{"id":"https://openalex.org/C70259352","wikidata":"https://www.wikidata.org/wiki/Q1847839","display_name":"Robust regression","level":3,"score":0.6077032089233398},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5587690472602844},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.49865007400512695},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.49139609932899475},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.44142186641693115},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.43641796708106995},{"id":"https://openalex.org/C116714509","wikidata":"https://www.wikidata.org/wiki/Q32278","display_name":"Truncated mean","level":3,"score":0.41797545552253723},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.41523391008377075},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3720942735671997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24964332580566406},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.21217799186706543},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15219643712043762},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-57489-4_86","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-57489-4_86","pdf_url":null,"source":{"id":"https://openalex.org/S4306506691","display_name":"COMPSTAT","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Compstat","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W36711357","https://openalex.org/W2024666724","https://openalex.org/W2034802008","https://openalex.org/W2081129074","https://openalex.org/W2129249398","https://openalex.org/W2152701363","https://openalex.org/W2498631646","https://openalex.org/W4237961478"],"related_works":["https://openalex.org/W3121734683","https://openalex.org/W2046343964","https://openalex.org/W1600426151","https://openalex.org/W171089193","https://openalex.org/W3121311879","https://openalex.org/W1539940077","https://openalex.org/W3124768854","https://openalex.org/W2216963642","https://openalex.org/W1974187127","https://openalex.org/W2085680114"],"abstract_inverted_index":{"In":[0,123],"regression":[1],"analysis":[2],"it":[3],"is":[4,17,25,99],"standard":[5],"practice":[6],"to":[7,27,31,50,106,111],"report":[8],"an":[9],"R-squared":[10,35,96],"statistic.":[11],"This":[12],"measure":[13],"of":[14,41,46,84,94,132,135,145],"multiple":[15,136],"correlation":[16],"based":[18,147],"on":[19,61,81,91,148],"the":[20,38,44,47,53,62,82,85,92,108,118,129,141],"Least":[21],"Squares":[22],"estimator,":[23],"which":[24],"known":[26],"be":[28],"extremely":[29],"sensitive":[30],"outliers.":[32],"The":[33],"associated":[34],"suffers":[36],"from":[37],"same":[39,109],"lack":[40],"robustness.":[42],"Also":[43],"value":[45],"F-statistic,":[48],"used":[49],"see":[51],"whether":[52],"explanatory":[54],"variables":[55],"have":[56,107],"jointly":[57],"a":[58],"significant":[59],"influence":[60],"dependent":[63],"variable,":[64],"exhibits":[65],"similar":[66],"problems.":[67],"Many":[68],"robust":[69,95,133],"estimation":[70],"procedures":[71],"are":[72],"available":[73],"now,":[74],"but":[75],"there":[76],"has":[77],"been":[78],"less":[79],"emphasis":[80],"development":[83],"inference":[86],"part":[87],"and":[88,138,143],"in":[89],"particular":[90],"study":[93,128],"measures.":[97],"It":[98],"however":[100],"clear":[101],"that":[102],"applied":[103],"statisticians":[104],"desire":[105],"tools":[110],"validate":[112],"their":[113],"model":[114],"as":[115],"when":[116],"using":[117],"classical":[119],"least":[120],"squares":[121],"estimator.":[122],"this":[124],"note":[125],"we":[126],"will":[127],"stability":[130],"properties":[131],"measures":[134],"correlation,":[137],"also":[139],"investigate":[140],"size":[142],"power":[144],"F-statistics":[146],"them.":[149]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}