{"id":"https://openalex.org/W2007203763","doi":"https://doi.org/10.1080/03610910802049599","title":"A Revisit to the Behrens\u2013Fisher Problem: Comparison of Five Test Methods","display_name":"A Revisit to the Behrens\u2013Fisher Problem: Comparison of Five Test Methods","publication_year":2008,"publication_date":"2008-05-19","ids":{"openalex":"https://openalex.org/W2007203763","doi":"https://doi.org/10.1080/03610910802049599","mag":"2007203763"},"language":"en","primary_location":{"id":"doi:10.1080/03610910802049599","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910802049599","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/A5110110980","display_name":"Ching-Hui Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I192703390","display_name":"Ming Chuan University","ror":"https://ror.org/02pgvzy25","country_code":"TW","type":"education","lineage":["https://openalex.org/I192703390"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ching-Hui Chang","raw_affiliation_strings":["Ming Chuan University","Department of Applied Statistics and Information Science , Ming Chuan University , Taiwan , ROC"],"affiliations":[{"raw_affiliation_string":"Ming Chuan University","institution_ids":["https://openalex.org/I192703390"]},{"raw_affiliation_string":"Department of Applied Statistics and Information Science , Ming Chuan University , Taiwan , ROC","institution_ids":["https://openalex.org/I192703390"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007373379","display_name":"Nabendu Pal","orcid":"https://orcid.org/0000-0001-6243-4988"},"institutions":[{"id":"https://openalex.org/I79516672","display_name":"University of Louisiana at Lafayette","ror":"https://ror.org/01x8rc503","country_code":"US","type":"education","lineage":["https://openalex.org/I2799628689","https://openalex.org/I79516672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nabendu Pal","raw_affiliation_strings":["University of Louisiana at Lafayette","Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana, USA;"],"affiliations":[{"raw_affiliation_string":"University of Louisiana at Lafayette","institution_ids":["https://openalex.org/I79516672"]},{"raw_affiliation_string":"Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana, USA;","institution_ids":["https://openalex.org/I79516672"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110110980"],"corresponding_institution_ids":["https://openalex.org/I192703390"],"apc_list":null,"apc_paid":null,"fwci":1.2149,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.80045223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"37","issue":"6","first_page":"1064","last_page":"1085"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9904999732971191,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9904999732971191,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9690999984741211,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/jackknife-resampling","display_name":"Jackknife resampling","score":0.6943947076797485},{"id":"https://openalex.org/keywords/test","display_name":"Test (biology)","score":0.6545663475990295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5812489986419678},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.5753706097602844},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5721331834793091},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.4914592504501343},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.46266961097717285},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.43730223178863525},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3567536473274231},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.3169650733470917},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.15446019172668457}],"concepts":[{"id":"https://openalex.org/C81790035","wikidata":"https://www.wikidata.org/wiki/Q847158","display_name":"Jackknife resampling","level":3,"score":0.6943947076797485},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.6545663475990295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5812489986419678},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5753706097602844},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5721331834793091},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.4914592504501343},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.46266961097717285},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.43730223178863525},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3567536473274231},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.3169650733470917},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.15446019172668457},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610910802049599","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910802049599","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W57262420","https://openalex.org/W137421769","https://openalex.org/W623370163","https://openalex.org/W1585379323","https://openalex.org/W1973801776","https://openalex.org/W1975196057","https://openalex.org/W1978087298","https://openalex.org/W2031716086","https://openalex.org/W2046383454","https://openalex.org/W2056167024","https://openalex.org/W2062989416","https://openalex.org/W2063921469","https://openalex.org/W2067733407","https://openalex.org/W2069870615","https://openalex.org/W2097879961","https://openalex.org/W2124181495","https://openalex.org/W2163738067","https://openalex.org/W2413573154","https://openalex.org/W2751696946","https://openalex.org/W2798153726","https://openalex.org/W2800579988","https://openalex.org/W2801290678","https://openalex.org/W4213064790","https://openalex.org/W4230651318","https://openalex.org/W4231517135","https://openalex.org/W4246761584","https://openalex.org/W4251945355","https://openalex.org/W4292093645","https://openalex.org/W4298872162","https://openalex.org/W4299595276"],"related_works":["https://openalex.org/W3015822731","https://openalex.org/W2957280400","https://openalex.org/W2075332338","https://openalex.org/W4386776152","https://openalex.org/W1970221037","https://openalex.org/W2488034322","https://openalex.org/W1826709224","https://openalex.org/W2135903028","https://openalex.org/W4249874928","https://openalex.org/W2913739054"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"revisit":[2],"the":[3,18,25,41,49,53,57,85,102,127,130,136,148,151,156,168],"well-known":[4],"Behrens\u2013Fisher":[5],"problem":[6],"and":[7,34,135],"apply":[8],"a":[9,79,119],"newly":[10],"developed":[11],"'Computational":[12],"Approach":[13],"Test'":[14],"(CAT)":[15],"to":[16,29],"test":[17,58,70,73,77,82,90],"equality":[19],"of":[20,40,52,56,95,153],"two":[21],"population":[22],"means":[23],"where":[24],"populations":[26],"are":[27,99],"assumed":[28],"be":[30],"normal":[31,112],"with":[32,65],"unknown":[33],"possibly":[35],"unequal":[36],"variances.":[37],"An":[38],"advantage":[39],"CAT":[42,61],"is":[43,62,132,138],"that":[44,129],"it":[45,143],"does":[46],"not":[47,139,163],"require":[48],"explicit":[50],"knowledge":[51],"sampling":[54],"distribution":[55],"statistic.":[59],"The":[60],"then":[63],"compared":[64],"three":[66],"widely":[67],"accepted":[68],"tests\u2014Welch\u2013Satterthwaite":[69],"(WST),":[71],"Cochran\u2013Cox":[72],"(CCT),":[74],"'Generalized":[75],"p-value'":[76],"(GPT)\u2014and":[78],"recently":[80],"suggested":[81],"based":[83,117],"on":[84,118],"jackknife":[86],"procedure,":[87],"called":[88],"Singh\u2013Saxena\u2013Srivastava":[89],"(SSST).":[91],"Further,":[92],"model":[93],"robustness":[94],"these":[96],"five":[97],"tests":[98],"studied":[100],"when":[101],"data":[103],"actually":[104],"came":[105],"from":[106],"t-distributions,":[107],"but":[108],"wrongly":[109],"perceived":[110],"as":[111,140,142],"ones.":[113],"Our":[114],"detailed":[115],"study":[116,161],"comprehensive":[120],"simulation":[121],"indicate":[122],"some":[123],"interesting":[124],"results":[125],"including":[126],"facts":[128],"GPT":[131],"quite":[133],"conservative,":[134],"SSST":[137],"good":[141],"has":[144],"been":[145,164],"claimed":[146],"in":[147,159,167],"literature.":[149,170],"To":[150],"best":[152],"our":[154,160],"knowledge,":[155],"trends":[157],"observed":[158],"have":[162],"reported":[165],"earlier":[166],"existing":[169],"Keywords:":[171],"Generalized":[172],"p-valueHypothesis":[173],"testingParametric":[174],"bootstrapPower":[175],"functionSizeMathematics":[176],"Subject":[177],"Classification:":[178],"Primary":[179],"62F03Secondary":[180],"62E17":[181]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2025-10-10T00:00:00"}
