{"id":"https://openalex.org/W2022696068","doi":"https://doi.org/10.1080/03610918.2011.633199","title":"Simultaneous Tests for Independence Among Components of Random Vector by Step-Down Multiple Comparison Procedure","display_name":"Simultaneous Tests for Independence Among Components of Random Vector by Step-Down Multiple Comparison Procedure","publication_year":2012,"publication_date":"2012-06-13","ids":{"openalex":"https://openalex.org/W2022696068","doi":"https://doi.org/10.1080/03610918.2011.633199","mag":"2022696068"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2011.633199","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2011.633199","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/A5049786069","display_name":"Sho Takahashi","orcid":"https://orcid.org/0000-0002-4331-7900"},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Sho Takahashi","raw_affiliation_strings":["Department of Mathematical Information Science, Graduate School of Science , Tokyo University of Science","Department of Mathematical Information Science, Graduate School of Science, Tokyo University of Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Science, Graduate School of Science , Tokyo University of Science","institution_ids":["https://openalex.org/I161296585"]},{"raw_affiliation_string":"Department of Mathematical Information Science, Graduate School of Science, Tokyo University of Science","institution_ids":["https://openalex.org/I161296585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034295941","display_name":"Takahiro Nishiyama","orcid":"https://orcid.org/0000-0002-6445-7697"},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takahiro Nishiyama","raw_affiliation_strings":["Department of Mathematical Information Science, Faculty of Science , Tokyo University of Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Science, Faculty of Science , Tokyo University of Science","institution_ids":["https://openalex.org/I161296585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088681141","display_name":"Takashi Seo","orcid":"https://orcid.org/0000-0002-4766-8011"},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takashi Seo","raw_affiliation_strings":["Department of Mathematical Information Science, Faculty of Science , Tokyo University of Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Science, Faculty of Science , Tokyo University of Science","institution_ids":["https://openalex.org/I161296585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049786069"],"corresponding_institution_ids":["https://openalex.org/I161296585"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10219307,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"10","first_page":"1998","last_page":"2005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.9998999834060669,"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/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.9998999834060669,"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":0.9948999881744385,"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":0.9919000267982483,"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/independence","display_name":"Independence (probability theory)","score":0.8117702007293701},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.6709719896316528},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5532867908477783},{"id":"https://openalex.org/keywords/multivariate-random-variable","display_name":"Multivariate random variable","score":0.5405451655387878},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5335643291473389},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4845263361930847},{"id":"https://openalex.org/keywords/multivariate-normal-distribution","display_name":"Multivariate normal distribution","score":0.47869184613227844},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4439455270767212},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.43157973885536194},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4030858278274536},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.38592326641082764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3745272755622864},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.35735177993774414},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.34772008657455444}],"concepts":[{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.8117702007293701},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.6709719896316528},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5532867908477783},{"id":"https://openalex.org/C138405894","wikidata":"https://www.wikidata.org/wiki/Q3179949","display_name":"Multivariate random variable","level":3,"score":0.5405451655387878},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5335643291473389},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4845263361930847},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.47869184613227844},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4439455270767212},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.43157973885536194},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4030858278274536},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.38592326641082764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3745272755622864},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.35735177993774414},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.34772008657455444}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2011.633199","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2011.633199","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1989797779","https://openalex.org/W1998495461","https://openalex.org/W2012757283","https://openalex.org/W2075384682","https://openalex.org/W2075403704","https://openalex.org/W2120148445","https://openalex.org/W3101280595","https://openalex.org/W4293005804","https://openalex.org/W4362230038"],"related_works":["https://openalex.org/W170825502","https://openalex.org/W3015822731","https://openalex.org/W1555219153","https://openalex.org/W1970221037","https://openalex.org/W4386776152","https://openalex.org/W3151191475","https://openalex.org/W2052718200","https://openalex.org/W2248523368","https://openalex.org/W2919042","https://openalex.org/W1826709224"],"abstract_inverted_index":{"In":[0,41],"this":[1],"article,":[2],"we":[3,19,54,116],"consider":[4],"testing":[5,17,65,90],"independence":[6,48],"among":[7,49],"components":[8,50],"of":[9,35,51,98,109],"random":[10,52],"vector":[11],"in":[12],"multivariate":[13],"normal":[14],"population.":[15],"For":[16],"independence,":[18],"use":[20,55],"the":[21,36,56,63],"modified":[22],"likelihood":[23,37],"ratio":[24,38],"test":[25,39],"statistic":[26],"which":[27],"is":[28],"improved":[29],"an":[30],"approximation":[31],"to":[32,43,95],"\u03c72":[33],"distribution":[34],"statistic.":[40],"order":[42],"perform":[44,117],"simultaneous":[45],"tests":[46],"for":[47],"vector,":[53],"step-down":[57],"multiple":[58],"comparison":[59],"procedure":[60,66],"based":[61],"on":[62],"closed":[64,89],"proposed":[67],"by":[68],"Marcus":[69,73],"et":[70],"al.":[71],"(1976":[72],",":[74,76,78,80,82,112],"R.":[75,84],"Peritz":[77],"E.":[79],"Gabriel":[81],"K.":[83],"(":[85],"1976":[86],").":[87],"On":[88],"procedures":[91],"with":[92],"special":[93],"reference":[94],"ordered":[96],"analysis":[97],"variance":[99],".":[100],"Biometrika":[101],"63":[102],":":[103],"655":[104],"\u2013":[105],"660":[106],".[Crossref],":[107],"[Web":[108],"Science":[110],"\u00ae]":[111],"[Google":[113],"Scholar]).":[114],"Finally,":[115],"Monte":[118],"Carlo":[119],"simulations":[120],"and":[121],"present":[122],"numerical":[123],"results.":[124]},"counts_by_year":[],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2025-10-10T00:00:00"}
