{"id":"https://openalex.org/W2030544229","doi":"https://doi.org/10.1080/03610910701767721","title":"Confidence Interval of the Difference of Two Independent Binomial Proportions Using Weighted Profile Likelihood","display_name":"Confidence Interval of the Difference of Two Independent Binomial Proportions Using Weighted Profile Likelihood","publication_year":2008,"publication_date":"2008-02-27","ids":{"openalex":"https://openalex.org/W2030544229","doi":"https://doi.org/10.1080/03610910701767721","mag":"2030544229"},"language":"en","primary_location":{"id":"doi:10.1080/03610910701767721","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910701767721","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/A5111121383","display_name":"Vivek Pradhan","orcid":"https://orcid.org/0000-0003-4590-5383"},"institutions":[{"id":"https://openalex.org/I95746587","display_name":"Cytel (United States)","ror":"https://ror.org/01ftkxq60","country_code":"US","type":"company","lineage":["https://openalex.org/I95746587"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vivek Pradhan","raw_affiliation_strings":["Cytel Inc , Cambridge, Massachusetts, USA"],"affiliations":[{"raw_affiliation_string":"Cytel Inc , Cambridge, Massachusetts, USA","institution_ids":["https://openalex.org/I95746587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076888072","display_name":"Tathagata Banerjee","orcid":"https://orcid.org/0000-0002-1101-7903"},"institutions":[{"id":"https://openalex.org/I106542073","display_name":"University of Calcutta","ror":"https://ror.org/01e7v7w47","country_code":"IN","type":"education","lineage":["https://openalex.org/I106542073"]},{"id":"https://openalex.org/I150870154","display_name":"Indian Institute of Management Ahmedabad","ror":"https://ror.org/02egcpy68","country_code":"IN","type":"education","lineage":["https://openalex.org/I150870154"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Tathagata Banerjee","raw_affiliation_strings":["Indian Institute of Management","University of Calcutta","Indian Institute of Management , Ahmadabad, India","Department of Statistics , University of Calcutta , Kolkata, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Management","institution_ids":[]},{"raw_affiliation_string":"University of Calcutta","institution_ids":["https://openalex.org/I106542073"]},{"raw_affiliation_string":"Indian Institute of Management , Ahmadabad, India","institution_ids":["https://openalex.org/I150870154"]},{"raw_affiliation_string":"Department of Statistics , University of Calcutta , Kolkata, India","institution_ids":["https://openalex.org/I106542073"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111121383"],"corresponding_institution_ids":["https://openalex.org/I95746587"],"apc_list":null,"apc_paid":null,"fwci":0.6074,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.70507954,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"37","issue":"4","first_page":"645","last_page":"659"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9901000261306763,"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":0.9901000261306763,"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":0.9891999959945679,"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":0.9886000156402588,"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/binomial","display_name":"Binomial (polynomial)","score":0.7256364822387695},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.6827532649040222},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6736956238746643},{"id":"https://openalex.org/keywords/interval-estimation","display_name":"Interval estimation","score":0.5872893333435059},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5240247845649719},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.5149601101875305},{"id":"https://openalex.org/keywords/binomial-proportion-confidence-interval","display_name":"Binomial proportion confidence interval","score":0.4704802334308624},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.45355871319770813},{"id":"https://openalex.org/keywords/negative-binomial-distribution","display_name":"Negative binomial distribution","score":0.45234668254852295},{"id":"https://openalex.org/keywords/significant-difference","display_name":"Significant difference","score":0.44466203451156616},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.42393797636032104},{"id":"https://openalex.org/keywords/binomial-distribution","display_name":"Binomial distribution","score":0.41650041937828064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37093812227249146},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13047799468040466}],"concepts":[{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.7256364822387695},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.6827532649040222},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6736956238746643},{"id":"https://openalex.org/C205167067","wikidata":"https://www.wikidata.org/wiki/Q3300636","display_name":"Interval estimation","level":3,"score":0.5872893333435059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5240247845649719},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.5149601101875305},{"id":"https://openalex.org/C18823086","wikidata":"https://www.wikidata.org/wiki/Q1781424","display_name":"Binomial proportion confidence interval","level":4,"score":0.4704802334308624},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.45355871319770813},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.45234668254852295},{"id":"https://openalex.org/C3018023364","wikidata":"https://www.wikidata.org/wiki/Q425265","display_name":"Significant difference","level":2,"score":0.44466203451156616},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.42393797636032104},{"id":"https://openalex.org/C41054675","wikidata":"https://www.wikidata.org/wiki/Q185547","display_name":"Binomial distribution","level":2,"score":0.41650041937828064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37093812227249146},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13047799468040466},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610910701767721","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910701767721","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":[{"id":"https://openalex.org/F4320309013","display_name":"North Dakota State University","ror":"https://ror.org/05h1bnb22"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W44278768","https://openalex.org/W1786463175","https://openalex.org/W1979080264","https://openalex.org/W1981892812","https://openalex.org/W1989787171","https://openalex.org/W1996851872","https://openalex.org/W2001038467","https://openalex.org/W2006709118","https://openalex.org/W2016955422","https://openalex.org/W2020018978","https://openalex.org/W2057369561","https://openalex.org/W2062219829","https://openalex.org/W2076983043","https://openalex.org/W2091397788","https://openalex.org/W2096913021","https://openalex.org/W2098294546","https://openalex.org/W2099207046","https://openalex.org/W2122633654","https://openalex.org/W2122797271","https://openalex.org/W2144661279","https://openalex.org/W2159217259","https://openalex.org/W2159514419","https://openalex.org/W2327355331","https://openalex.org/W4230165545","https://openalex.org/W4240332507","https://openalex.org/W4243639737","https://openalex.org/W4251923443","https://openalex.org/W4254306325","https://openalex.org/W4254552610"],"related_works":["https://openalex.org/W2125010695","https://openalex.org/W4244236455","https://openalex.org/W2044633064","https://openalex.org/W4366831151","https://openalex.org/W2052110748","https://openalex.org/W4233106339","https://openalex.org/W2078767517","https://openalex.org/W2736742737","https://openalex.org/W2485412231","https://openalex.org/W2204936790"],"abstract_inverted_index":{"Interval":[0,27],"estimation":[1,28],"of":[2,5,36,51,60,81],"the":[3,30,58,68,102,117],"difference":[4,31],"two":[6],"independent":[7,33],"binomial":[8,88],"proportions":[9],"is":[10,104,132],"an":[11],"important":[12],"problem":[13],"in":[14,41],"many":[15],"applied":[16],"settings.":[17],"Newcombe":[18,20],"(1998":[19],",":[21,54],"R.":[22],"G.":[23],"(":[24],"1998":[25],").":[26],"for":[29,86],"between":[32],"proportions:":[34],"comparison":[35],"seven":[37],"methods":[38],".":[39],"Statistics":[40],"Medicine":[42],"17":[43],":":[44],"873":[45],"\u2013":[46],"890":[47],".[Crossref],":[48],"[PubMed],":[49],"[Web":[50],"Science":[52],"\u00ae]":[53],"[Google":[55],"Scholar])":[56],"compared":[57,122],"performance":[59],"several":[61],"existing":[62],"asymptotic":[63],"methods,":[64],"and":[65],"based":[66,97],"on":[67,98],"results":[69],"obtained,":[70],"recommended":[71],"a":[72,78,82,95],"method":[73,83,96,119,131],"known":[74],"as":[75],"Wilson's":[76,124],"method,":[77],"modified":[79],"version":[80],"originally":[84],"proposed":[85,118],"single":[87],"proportion.":[89],"In":[90],"this":[91,130,136],"article,":[92],"we":[93,114],"propose":[94],"profile":[99],"likelihood,":[100],"where":[101],"likelihood":[103],"weighted":[105],"by":[106],"noninformative":[107],"Jeffrey'":[108],"prior.":[109],"By":[110],"doing":[111],"extensive":[112],"simulations,":[113],"find":[115],"that":[116],"performs":[120],"well":[121],"to":[123],"method.":[125],"A":[126],"SAS/IML":[127],"program":[128],"implementing":[129],"also":[133],"given":[134],"with":[135],"article.":[137]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-02-01T03:34:12.195049","created_date":"2025-10-10T00:00:00"}