{"id":"https://openalex.org/W2079261025","doi":"https://doi.org/10.1155/s1173912697000023","title":"Extensions to the Kruskal-Wallis test and a generalised mediantest with extensions","display_name":"Extensions to the Kruskal-Wallis test and a generalised mediantest with extensions","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2079261025","doi":"https://doi.org/10.1155/s1173912697000023","mag":"2079261025"},"language":"en","primary_location":{"id":"doi:10.1155/s1173912697000023","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s1173912697000023","pdf_url":"https://downloads.hindawi.com/archive/1997/903756.pdf","source":{"id":"https://openalex.org/S187318915","display_name":"Journal of Applied Mathematics and Decision Sciences","issn_l":"1173-9126","issn":["1173-9126","1532-7612"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Decision Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/archive/1997/903756.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015245481","display_name":"J. C. W. Rayner","orcid":"https://orcid.org/0000-0003-4987-0026"},"institutions":[{"id":"https://openalex.org/I204824540","display_name":"University of Wollongong","ror":"https://ror.org/00jtmb277","country_code":"AU","type":"education","lineage":["https://openalex.org/I204824540"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"J. C. W. Rayner","raw_affiliation_strings":["Department of Applied Statistics, University of Wollongong, Northfields Avenue, 2522, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Statistics, University of Wollongong, Northfields Avenue, 2522, NSW, Australia","institution_ids":["https://openalex.org/I204824540"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109124070","display_name":"D. J. Best","orcid":null},"institutions":[{"id":"https://openalex.org/I1292875679","display_name":"Commonwealth Scientific and Industrial Research Organisation","ror":"https://ror.org/03qn8fb07","country_code":"AU","type":"government","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"D. J. Best","raw_affiliation_strings":["CSIRO Mathematical and Information Sciences, PO Box 52, North Ryde 2113, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSIRO Mathematical and Information Sciences, PO Box 52, North Ryde 2113, NSW, Australia","institution_ids":["https://openalex.org/I1292875679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4595,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65450497,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":"1","first_page":"13","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9666000008583069,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9666000008583069,"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":0.9628999829292297,"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/T11716","display_name":"Random Matrices and Applications","score":0.9562000036239624,"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/contingency-table","display_name":"Contingency table","score":0.5733380317687988},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49803805351257324},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.4949647784233093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4633863866329193},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.45288610458374023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.397317111492157},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34214210510253906}],"concepts":[{"id":"https://openalex.org/C91998498","wikidata":"https://www.wikidata.org/wiki/Q1541178","display_name":"Contingency table","level":2,"score":0.5733380317687988},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49803805351257324},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.4949647784233093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4633863866329193},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.45288610458374023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.397317111492157},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34214210510253906}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/s1173912697000023","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s1173912697000023","pdf_url":"https://downloads.hindawi.com/archive/1997/903756.pdf","source":{"id":"https://openalex.org/S187318915","display_name":"Journal of Applied Mathematics and Decision Sciences","issn_l":"1173-9126","issn":["1173-9126","1532-7612"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Decision Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:110571f03af34d5facaf724ebf77284b","is_oa":false,"landing_page_url":"https://doaj.org/article/110571f03af34d5facaf724ebf77284b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics and Decision Sciences, Vol 1, Iss 1, Pp 13-25 (1997)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/s1173912697000023","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s1173912697000023","pdf_url":"https://downloads.hindawi.com/archive/1997/903756.pdf","source":{"id":"https://openalex.org/S187318915","display_name":"Journal of Applied Mathematics and Decision Sciences","issn_l":"1173-9126","issn":["1173-9126","1532-7612"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Decision Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2079261025.pdf","grobid_xml":"https://content.openalex.org/works/W2079261025.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W2024532251","https://openalex.org/W2314295505","https://openalex.org/W2323214586","https://openalex.org/W4298330243","https://openalex.org/W4298410083","https://openalex.org/W4299324500"],"related_works":["https://openalex.org/W3001524306","https://openalex.org/W4206843815","https://openalex.org/W2168242335","https://openalex.org/W2327075898","https://openalex.org/W2898981659","https://openalex.org/W1500592506","https://openalex.org/W2186889924","https://openalex.org/W1964095647","https://openalex.org/W753324881","https://openalex.org/W2117221752"],"abstract_inverted_index":{"The":[0,41,76],"data":[1,63],"for":[2,31],"the":[3,48,51,69,73,80,115,122,132,150],"tests":[4],"considered":[5],"here":[6],"may":[7,33],"be":[8,34,46],"presented":[9],"in":[10],"two-way":[11],"contingency":[12],"tables":[13],"with":[14],"all":[15],"marginal":[16],"totals":[17],"fixed.":[18],"We":[19,109],"show":[20],"that":[21],"Pearson's":[22],"test":[23,135],"statistic":[24,136],"<mml:math":[25,127],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[26,29,128],"alttext=\"$X_P^2$\"><mml:msubsup><mml:mi>X</mml:mi><mml:mi>P</mml:mi><mml:mn>2</mml:mn></mml:msubsup></mml:math>":[27,129],"(<mml:math":[28],"alttext=\"$P$\"><mml:mi>P</mml:mi></mml:math>":[30],"Pearson)":[32],"partitioned":[35],"into":[36],"useful":[37],"and":[38,50,56,93,103],"informative":[39],"components.":[40],"first":[42,124],"detects":[43],"location":[44,70],"differences":[45],"tween":[47],"treatments,":[49],"subsequent":[52,77],"components":[53,78,144],"detect":[54,145],"dispersion":[55],"higher":[57,146],"order":[58],"moment":[59,147],"differences.":[60],"For":[61],"Kruskal-Wallis-type":[62],"when":[64,89,95,137],"there":[65,90,96,138],"are":[66,79,91,139],"no":[67],"ties,":[68,92],"component":[71,125],"is":[72,97],"Kruskal-Wallis":[74],"test.":[75,118],"extensions.":[81],"Our":[82],"approach":[83],"enables":[84],"us":[85],"to":[86,88,94,131],"generalise":[87],"a":[98,104,112],"fixed":[99],"number":[100,106],"of":[101,107,114,126,153],"categories":[102],"large":[105],"observations.":[108],"also":[110],"propose":[111],"generalisation":[113],"well-known":[116],"median":[117,134],"In":[119],"this":[120],"situation":[121],"location-detecting":[123],"reduces":[130],"usual":[133],"only":[140],"two":[141],"categories.":[142],"Subsequent":[143],"departures":[148],"from":[149],"null":[151],"hypothesis":[152],"equal":[154],"treatment":[155],"effects":[156]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
