{"id":"https://openalex.org/W2082880424","doi":"https://doi.org/10.1093/biomet/13.2-3.296","title":"I. On a General Method of determining the successive terms in a Skew Regreuion Line","display_name":"I. On a General Method of determining the successive terms in a Skew Regreuion Line","publication_year":1921,"publication_date":"1921-07-01","ids":{"openalex":"https://openalex.org/W2082880424","doi":"https://doi.org/10.1093/biomet/13.2-3.296","mag":"2082880424"},"language":"en","primary_location":{"id":"doi:10.1093/biomet/13.2-3.296","doi":"https://doi.org/10.1093/biomet/13.2-3.296","is_oa":false,"landing_page_url":"https://doi.org/10.1093/biomet/13.2-3.296","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/2290805","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110710145","display_name":"Karl Pearson","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"K. PEARSON","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5110710145"],"corresponding_institution_ids":[],"apc_list":{"value":2724,"currency":"GBP","value_usd":3592},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.30534351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"2-3","first_page":"296","last_page":"296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13141","display_name":"Statistical Methods and Applications","score":0.5199999809265137,"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/T13141","display_name":"Statistical Methods and Applications","score":0.5199999809265137,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.2768999934196472,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.125,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/regression-line","display_name":"regression line","score":0.7390000224113464},{"id":"https://openalex.org/keywords/orthogonal-functions","display_name":"orthogonal functions","score":0.6700000166893005},{"id":"https://openalex.org/keywords/product-moments","display_name":"product moments","score":0.6990000009536743},{"id":"https://openalex.org/keywords/correlation-distribution","display_name":"correlation distribution","score":0.8040000200271606},{"id":"https://openalex.org/keywords/polynomial-approximation","display_name":"polynomial approximation","score":0.4000000059604645},{"id":"https://openalex.org/keywords/least-squares-estimation","display_name":"least squares estimation","score":0.34200000762939453},{"id":"https://openalex.org/keywords/bivariate-normal-distribution","display_name":"bivariate normal distribution","score":0.3490000069141388}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9268680214881897},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.8188290596008301},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.575192391872406},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.552493691444397},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3951047658920288},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3509330153465271},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3306805491447449},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08204910159111023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05100199580192566},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.044241875410079956},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.03525170683860779},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/biomet/13.2-3.296","doi":"https://doi.org/10.1093/biomet/13.2-3.296","is_oa":false,"landing_page_url":"https://doi.org/10.1093/biomet/13.2-3.296","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"},{"id":"doi:10.2307/2331756","doi":"https://doi.org/10.2307/2331756","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2331756","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"},{"id":"pmh:oai:zenodo.org:2290805","doi":null,"is_oa":true,"landing_page_url":"https://zenodo.org/record/2290805","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:2290805","doi":null,"is_oa":true,"landing_page_url":"https://zenodo.org/record/2290805","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4231023986","https://openalex.org/W2084721853","https://openalex.org/W4233067673","https://openalex.org/W7056472100","https://openalex.org/W2517740219","https://openalex.org/W637735727","https://openalex.org/W4230317253","https://openalex.org/W4252160270","https://openalex.org/W625920686","https://openalex.org/W7024558515"],"abstract_inverted_index":{"Let":[0],"x":[1,32,39,128],"aud":[2],"y":[3,22,38,73],"be":[4,51,95,122,151,166,200],"the":[5,25,41,52,58,63,66,109,119,131,142,148,176,179,189,192,195],"two":[6,64],"variates.Suppose":[7],"tho":[8],"x-ntnge":[9],"divided":[10],"up":[11],"into":[12],"any":[13],"not":[14],"necessarily":[15],"equal":[16],"intervals":[17],"A,":[18],"giving":[19],"arrays":[20],"of":[21,23,27,57,62,68,72,103,127,134,158,175,182,188,194,217],"which":[24,29],"mean":[26],"those":[28],"centre":[30],"at":[31],"(lying":[33],"somewhere":[34],"in":[35,37,106,141,184,186],"Ax)":[36],"and":[40,54,97,114],"array":[42],"total":[43,59],"*,.Let":[44],"x,":[45],"y,":[46],"c":[47],"I":[48],",":[49],"<r,":[50],"means":[53],"standard":[55],"deviations":[56],"pnpulatinu":[60],"Af":[61],"variatcs.Assume":[65],"form":[67],"tie":[69],"regression":[70],"line":[71],"on":[74],"J":[75],"to":[76,94,108,130],"be:":[77],"^-a":[78],"e":[79],"f,+a":[80],"1":[81,83],"+":[82,84],"...+a.f":[85],"a":[86],"(i),":[87],"where":[88],"do,":[89],"a,...a,":[90],"are":[91],"absolute":[92],"constants":[93],"determined":[96,152,167],"if-,":[98],"i\u00ab":[99],"an":[100,169],"orthogonal":[101],"function":[102,171],"--,":[104],"Le.":[105],"subject":[107],"oondition":[110],"that:":[111],".O-O,":[112],"<":[113],"\u00ab'":[115],"unequal":[116],"(ii),":[117],"if":[118,147,164],"summation":[120],"S":[121],"taken":[123],"for":[124],"all":[125,218],"values":[126],"corresponding":[129],"arbitrary":[132],"system":[133],"arrays.Further":[135],"let":[136],"us":[137,202],"supposet":[138],"thai":[139],":":[140],"usual":[143],"product-moment":[144],"notation.":[145],".Clearly":[146],"^,'s":[149],"can":[150],"we":[153],"must":[154],"hare":[155],"by":[156],"virtue":[157],"(ii)":[159],"from":[160,210],"(i)":[161],"\u00bb\u2022":[162],"Now":[163],"i^,":[165],"as":[168],"integral":[170],"af-(s":[172],"-x)/<r":[173],"m":[174],"nth":[177],"degree,":[178],"left-hand":[180],"side":[181],"(iii)":[183],"expressible":[185],"terms":[187],"fu'a,":[190],"or":[191],"product-moments":[193],"correlation":[196],"distribution.Thus":[197],"o\u00bb":[198],"will":[199],"detenuiued.Let":[201],"write:":[203],"_":[204],"/*'":[205],"\\":[206],"Civ).and":[207],"*":[208,213],"Bepiodaeed":[209],"leoture":[211],"notes.*t":[212],"&":[214],"denotes":[215,221],"tanunstfon":[216],"array*,":[219],"Z":[220],"fTrmTnatitTTi":[222]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}