{"id":"https://openalex.org/W4394765146","doi":"https://doi.org/10.1080/03610918.2024.2306561","title":"A comparison of nonparametric methods for multivariate two-sample tests","display_name":"A comparison of nonparametric methods for multivariate two-sample tests","publication_year":2024,"publication_date":"2024-04-12","ids":{"openalex":"https://openalex.org/W4394765146","doi":"https://doi.org/10.1080/03610918.2024.2306561"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2024.2306561","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2024.2306561","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/A5015191397","display_name":"Rosa Arboretti","orcid":"https://orcid.org/0000-0003-1263-0440"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Rosa Arboretti","raw_affiliation_strings":["Department of Civil, Environmental and Architectural Engineering, University of Padova","Department of Civil, Environmental and Architectural Engineering, University of Padova, Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Civil, Environmental and Architectural Engineering, University of Padova","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Department of Civil, Environmental and Architectural Engineering, University of Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054220076","display_name":"Elena Barzizza","orcid":"https://orcid.org/0000-0002-6389-887X"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Elena Barzizza","raw_affiliation_strings":["Department of Management Engineering, University of Padova","Department of Management Engineering, University of Padova, Vicenza, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Management Engineering, University of Padova","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Department of Management Engineering, University of Padova, Vicenza, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020457899","display_name":"Riccardo Ceccato","orcid":"https://orcid.org/0000-0002-8629-8439"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Riccardo Ceccato","raw_affiliation_strings":["Department of Management Engineering, University of Padova","Department of Management Engineering, University of Padova, Vicenza, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Management Engineering, University of Padova","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Department of Management Engineering, University of Padova, Vicenza, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015191397"],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":null,"apc_paid":null,"fwci":0.7536,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69458203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"54","issue":"6","first_page":"2029","last_page":"2046"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9994999766349792,"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":0.9994999766349792,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9925000071525574,"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":0.925478458404541},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.7986018657684326},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.645858645439148},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.5909988880157471},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5769703388214111},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.5461654663085938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5308535695075989},{"id":"https://openalex.org/keywords/goldfeld\u2013quandt-test","display_name":"Goldfeld\u2013Quandt test","score":0.49866747856140137},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4628763496875763},{"id":"https://openalex.org/keywords/multivariate-analysis","display_name":"Multivariate analysis","score":0.45995843410491943},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.4522247910499573},{"id":"https://openalex.org/keywords/test","display_name":"Test (biology)","score":0.4425828456878662},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.42368364334106445},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.41128474473953247},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.39204108715057373},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27068090438842773},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.27028512954711914}],"concepts":[{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.925478458404541},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.7986018657684326},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.645858645439148},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5909988880157471},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5769703388214111},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.5461654663085938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5308535695075989},{"id":"https://openalex.org/C122379554","wikidata":"https://www.wikidata.org/wiki/Q3519047","display_name":"Goldfeld\u2013Quandt test","level":5,"score":0.49866747856140137},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4628763496875763},{"id":"https://openalex.org/C38180746","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate analysis","level":2,"score":0.45995843410491943},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.4522247910499573},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.4425828456878662},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.42368364334106445},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.41128474473953247},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.39204108715057373},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27068090438842773},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.27028512954711914},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C117661179","wikidata":"https://www.wikidata.org/wiki/Q897827","display_name":"Z-test","level":4,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/03610918.2024.2306561","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2024.2306561","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"},{"id":"pmh:oai:www.research.unipd.it:11577/3523028","is_oa":false,"landing_page_url":"https://hdl.handle.net/11577/3523028","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W303492897","https://openalex.org/W1966335677","https://openalex.org/W1973744648","https://openalex.org/W1983122852","https://openalex.org/W1983326505","https://openalex.org/W2014468336","https://openalex.org/W2016440615","https://openalex.org/W2019288448","https://openalex.org/W2019381242","https://openalex.org/W2033738585","https://openalex.org/W2045814022","https://openalex.org/W2046206524","https://openalex.org/W2050569825","https://openalex.org/W2062486795","https://openalex.org/W2062522085","https://openalex.org/W2064538995","https://openalex.org/W2064771454","https://openalex.org/W2089383262","https://openalex.org/W2125658093","https://openalex.org/W2313048332","https://openalex.org/W2343143030","https://openalex.org/W2561205533","https://openalex.org/W2591299994","https://openalex.org/W2730802725","https://openalex.org/W2772720047","https://openalex.org/W2888971820","https://openalex.org/W2916763883","https://openalex.org/W3020674209","https://openalex.org/W3094168102","https://openalex.org/W3157881304","https://openalex.org/W4210309498","https://openalex.org/W4220746034","https://openalex.org/W4283158915","https://openalex.org/W6787907487"],"related_works":["https://openalex.org/W2358971312","https://openalex.org/W4224271975","https://openalex.org/W97165838","https://openalex.org/W4247068251","https://openalex.org/W2383987671","https://openalex.org/W2586453511","https://openalex.org/W4296826658","https://openalex.org/W2924932104","https://openalex.org/W4297915994","https://openalex.org/W2985158452"],"abstract_inverted_index":{"Comparing":[0],"two":[1],"multivariate":[2,69],"populations":[3],"can":[4],"be":[5,34],"challenging":[6],"when":[7],"the":[8,38,46,59,74,106,109,118,122,125,128],"distributional":[9,27],"forms":[10],"are":[11,20,136],"unknown.":[12],"In":[13,29],"such":[14],"a":[15,87,139],"situation,":[16],"parametric":[17],"test":[18,62,134],"procedures":[19,135],"not":[21],"appropriate":[22],"given":[23],"that":[24],"they":[25],"require":[26],"assumptions.":[28],"this":[30],"context,":[31],"it":[32,72],"may":[33],"useful":[35],"to":[36,79,138],"consider":[37],"application":[39,47],"of":[40,48,61,76,96,120,124],"nonparametric":[41,102],"tests.":[42],"Specifically,":[43],"we":[44],"investigate":[45],"NonParametric":[49],"Combination":[50],"(NPC)":[51],"which":[52,85],"is":[53,65,86,98,115],"characterized":[54],"by":[55],"high":[56],"flexibility":[57],"in":[58,68,91,105],"choice":[60],"statistic":[63],"and":[64,127],"quite":[66],"powerful":[67],"scenarios.":[70],"Moreover,":[71],"has":[73],"advantage":[75],"being":[77],"able":[78],"deal":[80],"with":[81,100],"low":[82],"sample":[83],"sizes":[84],"very":[88],"common":[89],"situation":[90],"real-world":[92],"applications.":[93],"The":[94],"performance":[95,123],"NPC":[97,126],"compared":[99],"another":[101],"method":[103],"well-known":[104],"literature,":[107],"namely":[108],"(depth-based)":[110],"M-test.":[111],"A":[112],"simulation":[113],"study":[114],"provided":[116],"for":[117],"purposes":[119],"comparing":[121],"data":[129],"depth-based":[130],"test.":[131],"Finally,":[132],"both":[133],"applied":[137],"real":[140],"case":[141],"study.":[142]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}