{"id":"https://openalex.org/W2907328139","doi":"https://doi.org/10.1080/03610918.2018.1532002","title":"Nonparametric multiple sample scale testing using <i>U</i>-statistics","display_name":"Nonparametric multiple sample scale testing using <i>U</i>-statistics","publication_year":2018,"publication_date":"2018-12-31","ids":{"openalex":"https://openalex.org/W2907328139","doi":"https://doi.org/10.1080/03610918.2018.1532002","mag":"2907328139"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2018.1532002","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2018.1532002","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-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/A5061158332","display_name":"Manish Goyal","orcid":"https://orcid.org/0000-0002-6519-5924"},"institutions":[{"id":"https://openalex.org/I51452335","display_name":"Panjab University","ror":"https://ror.org/04p2sbk06","country_code":"IN","type":"education","lineage":["https://openalex.org/I51452335"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Manish Goyal","raw_affiliation_strings":["Department of Statistics, Panjab University, Chandigarh, India"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Panjab University, Chandigarh, India","institution_ids":["https://openalex.org/I51452335"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054202513","display_name":"Narinder Kumar","orcid":"https://orcid.org/0000-0001-9124-6302"},"institutions":[{"id":"https://openalex.org/I51452335","display_name":"Panjab University","ror":"https://ror.org/04p2sbk06","country_code":"IN","type":"education","lineage":["https://openalex.org/I51452335"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Narinder Kumar","raw_affiliation_strings":["Department of Statistics, Panjab University, Chandigarh, India"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Panjab University, Chandigarh, India","institution_ids":["https://openalex.org/I51452335"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054202513"],"corresponding_institution_ids":["https://openalex.org/I51452335"],"apc_list":null,"apc_paid":null,"fwci":0.2371,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60180148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"49","issue":"11","first_page":"3019","last_page":"3027"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9977999925613403,"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":0.9977999925613403,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.994700014591217,"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/T10136","display_name":"Statistical Methods and Inference","score":0.991599977016449,"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/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.8441189527511597},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6780217885971069},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.6278990507125854},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.6228628754615784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6182068586349487},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.5509808659553528},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.5026741027832031},{"id":"https://openalex.org/keywords/sample-size-determination","display_name":"Sample size determination","score":0.4779089391231537},{"id":"https://openalex.org/keywords/multiple-comparisons-problem","display_name":"Multiple comparisons problem","score":0.41585206985473633}],"concepts":[{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.8441189527511597},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6780217885971069},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6278990507125854},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.6228628754615784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6182068586349487},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.5509808659553528},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.5026741027832031},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.4779089391231537},{"id":"https://openalex.org/C183905921","wikidata":"https://www.wikidata.org/wiki/Q1038757","display_name":"Multiple comparisons problem","level":2,"score":0.41585206985473633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2018.1532002","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2018.1532002","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Zero hunger","score":0.800000011920929,"id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W19375454","https://openalex.org/W1495326737","https://openalex.org/W1974911571","https://openalex.org/W1986449665","https://openalex.org/W2008871042","https://openalex.org/W2016665082","https://openalex.org/W2025978454","https://openalex.org/W2027212288","https://openalex.org/W2038376035","https://openalex.org/W2053380584","https://openalex.org/W2082105279","https://openalex.org/W2083130971","https://openalex.org/W2088297623","https://openalex.org/W2089188825","https://openalex.org/W2093960934","https://openalex.org/W2103555937","https://openalex.org/W2158604443","https://openalex.org/W2332380548","https://openalex.org/W2403035479","https://openalex.org/W2775393786","https://openalex.org/W2796930440","https://openalex.org/W2797333853","https://openalex.org/W4236818056","https://openalex.org/W4242264304"],"related_works":["https://openalex.org/W1997747147","https://openalex.org/W4296826658","https://openalex.org/W4251996830","https://openalex.org/W2924932104","https://openalex.org/W2135894974","https://openalex.org/W4297915994","https://openalex.org/W2985158452","https://openalex.org/W2131297085","https://openalex.org/W1986765826","https://openalex.org/W154531455"],"abstract_inverted_index":{"Testing":[0],"of":[1,3,8,38,47,72,78,91,103,117],"equality":[2],"scale":[4,45,61],"parameters":[5,46],"is":[6,15,55,66,80,99,111,121],"one":[7],"the":[9,44,49,60,118],"fundamental":[10],"problems":[11],"in":[12,17,59,101],"Statistics":[13],"and":[14,26],"useful":[16],"many":[18],"fields":[19],"such":[20],"as":[21],"agriculture,":[22],"engineering,":[23],"experimental":[24],"methods":[25],"dose":[27],"level":[28],"testing.":[29],"In":[30],"this":[31],"paper,":[32],"we":[33],"propose":[34],"a":[35],"new":[36],"class":[37],"nonparametric":[39],"tests,":[40],"to":[41,96],"test":[42,65,93,120],"whether":[43],"all":[48],"populations":[50],"are":[51],"equal,":[52],"or":[53],"there":[54],"an":[56],"umbrella":[57],"ordering":[58],"parameters.":[62],"The":[63,75,89],"proposed":[64,84,92,119],"based":[67],"on":[68],"weighted":[69],"linear":[70],"combination":[71],"two-sample":[73],"U-statistics.":[74],"optimal":[76],"choice":[77],"weights":[79],"determined":[81],"so":[82],"that":[83],"tests":[85,98],"have":[86],"maximum":[87],"efficiency.":[88,107],"comparison":[90],"with":[94],"respect":[95],"existing":[97],"made":[100],"terms":[102],"Pitman":[104],"asymptotic":[105],"relative":[106],"A":[108],"numerical":[109],"example":[110],"provided":[112],"for":[113],"illustrative":[114],"purpose.":[115],"Power":[116],"also":[122],"assessed":[123],"using":[124],"Monte":[125],"Carlo":[126],"simulation":[127],"study.":[128]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
