{"id":"https://openalex.org/W2018175244","doi":"https://doi.org/10.1080/01621459.2000.10473918","title":"A Class of Weighted Log-Rank Tests for Survival Data When the Event is Rare","display_name":"A Class of Weighted Log-Rank Tests for Survival Data When the Event is Rare","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W2018175244","doi":"https://doi.org/10.1080/01621459.2000.10473918","mag":"2018175244"},"language":"en","primary_location":{"id":"doi:10.1080/01621459.2000.10473918","doi":"https://doi.org/10.1080/01621459.2000.10473918","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01621459.2000.10473918","pdf_url":null,"source":{"id":"https://openalex.org/S4394736638","display_name":"Journal of the American Statistical Association","issn_l":"0162-1459","issn":["0162-1459","1537-274X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the American Statistical Association","raw_type":"journal-article"},"volume":null,"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/A5021265846","display_name":"Steven G. Buyske","orcid":"https://orcid.org/0000-0001-8539-5416","observed_orcids":["https://orcid.org/0000-0001-8539-5416"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven Buyske","raw_affiliation_strings":["Department of Statistics, Rutgers University, Piscataway, NJ, 08854","Department of Statistics , Rutgers University , Piscataway , NJ , 08854"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Rutgers University, Piscataway, NJ, 08854","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Statistics , Rutgers University , Piscataway , NJ , 08854","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105541933","display_name":"Richard M. Fagerstrom","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1299303238","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238"]},{"id":"https://openalex.org/I4210140884","display_name":"National Cancer Institute","ror":"https://ror.org/040gcmg81","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I4210140884"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard Fagerstrom","raw_affiliation_strings":["Biometry Research Group, National Cancer Institute, Bethesda, MD, 20892","Biometry Research Group, National Cancer Institute , Bethesda , MD , 20892"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biometry Research Group, National Cancer Institute, Bethesda, MD, 20892","institution_ids":["https://openalex.org/I1299303238","https://openalex.org/I4210140884"]},{"raw_affiliation_string":"Biometry Research Group, National Cancer Institute , Bethesda , MD , 20892","institution_ids":["https://openalex.org/I4210140884"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112872010","display_name":"Zhiliang Ying","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhiliang Ying","raw_affiliation_strings":["Department of Statistics, Rutgers University, Piscataway, NJ, 08854","Department of Statistics , Rutgers University , Piscataway , NJ , 08854"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Rutgers University, Piscataway, NJ, 08854","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Statistics , Rutgers University , Piscataway , NJ , 08854","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1255,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.81406715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"95","issue":"449","first_page":"249","last_page":"249"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9071999788284302,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9071999788284302,"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/T13500","display_name":"Probability and Statistical Research","score":0.05860000103712082,"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":0.020500000566244125,"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/weighted-log-rank-test","display_name":"weighted log-rank test","score":0.9330000281333923},{"id":"https://openalex.org/keywords/rare-events","display_name":"rare events","score":0.9020000100135803},{"id":"https://openalex.org/keywords/survival-data","display_name":"survival data","score":0.7689999938011169},{"id":"https://openalex.org/keywords/asymptotic-efficiency","display_name":"asymptotic efficiency","score":0.718999981880188},{"id":"https://openalex.org/keywords/semiparametric-transformation-models","display_name":"semiparametric transformation models","score":0.8939999938011169},{"id":"https://openalex.org/keywords/contiguous-alternatives","display_name":"contiguous alternatives","score":0.9480000138282776},{"id":"https://openalex.org/keywords/cancer-screening-trials","display_name":"cancer screening trials","score":0.5509999990463257}],"concepts":[{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.655463695526123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5884034633636475},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5374038815498352},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.526710569858551},{"id":"https://openalex.org/C66339696","wikidata":"https://www.wikidata.org/wiki/Q6089397","display_name":"Log-rank test","level":3,"score":0.49778032302856445},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47348129749298096},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.4220116436481476},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.41283828020095825},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3728104531764984},{"id":"https://openalex.org/C10515644","wikidata":"https://www.wikidata.org/wiki/Q543310","display_name":"Survival analysis","level":2,"score":0.2957485020160675},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18981793522834778},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/01621459.2000.10473918","doi":"https://doi.org/10.1080/01621459.2000.10473918","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01621459.2000.10473918","pdf_url":null,"source":{"id":"https://openalex.org/S4394736638","display_name":"Journal of the American Statistical Association","issn_l":"0162-1459","issn":["0162-1459","1537-274X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the American Statistical Association","raw_type":"journal-article"},{"id":"doi:10.2307/2669542","doi":"https://doi.org/10.2307/2669542","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2669542","pdf_url":null,"source":{"id":"https://openalex.org/S4394736638","display_name":"Journal of the American Statistical Association","issn_l":"0162-1459","issn":["0162-1459","1537-274X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the American Statistical Association","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.55.2747","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.55.2747","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.rci.rutgers.edu/~buyske/rare.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.63.2691","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.63.2691","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.rci.rutgers.edu/~buyske/rare.pdf","raw_type":"text"},{"id":"pmh:oai:alma.01RUT_INST:11665196760004646","doi":null,"is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/A-Class-of-Weighted-Log-Rank-Tests/991031666166904646","pdf_url":null,"source":{"id":"https://openalex.org/S4306401388","display_name":"Rutgers University Community Repository (Rutgers University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I102322142","host_organization_name":"Rutgers, The State University of New Jersey","host_organization_lineage":["https://openalex.org/I102322142"],"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":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.8600000143051147,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1580788756","https://openalex.org/W1972019717","https://openalex.org/W1985732394","https://openalex.org/W2016789216","https://openalex.org/W2028025130","https://openalex.org/W2031330193","https://openalex.org/W2040311524","https://openalex.org/W2043931365","https://openalex.org/W2057968703","https://openalex.org/W2075546513","https://openalex.org/W2075900723","https://openalex.org/W2085782272","https://openalex.org/W2113575907","https://openalex.org/W2130375590","https://openalex.org/W2139984188","https://openalex.org/W2143594378","https://openalex.org/W2150000105","https://openalex.org/W2187668060","https://openalex.org/W2316326310","https://openalex.org/W2319384619","https://openalex.org/W2412124017","https://openalex.org/W2798461040","https://openalex.org/W2973543785","https://openalex.org/W2991365975","https://openalex.org/W3147894994","https://openalex.org/W4206336485","https://openalex.org/W4214618876","https://openalex.org/W4232191049","https://openalex.org/W4238789398","https://openalex.org/W4285719527","https://openalex.org/W4292027009"],"related_works":["https://openalex.org/W2079009800","https://openalex.org/W4242900698","https://openalex.org/W2069934820","https://openalex.org/W2079219970","https://openalex.org/W4382599617","https://openalex.org/W2327667520","https://openalex.org/W1987208043","https://openalex.org/W4287093458","https://openalex.org/W2108549943","https://openalex.org/W2043931365"],"abstract_inverted_index":{"In":[0,42],"many":[1],"epidemiological":[2],"and":[3,32,183,202],"medical":[4],"follow-up":[5,21],"studies,":[6],"a":[7,44,68,83,91,142,189],"majority":[8],"of":[9,17,37,51,61,90,94,113,133],"study":[10,98,179],"subjects":[11],"do":[12,165],"not":[13],"experience":[14],"the":[15,20,27,38,46,58,62,72,97,102,114,118,124,150,162,169,174,178,184,194,198,204],"event":[16,126,175],"interest":[18],"during":[19,177],"period.":[22],"An":[23],"important":[24],"example":[25],"is":[26,146,155,181],"ongoing":[28],"prostate,":[29],"lung,":[30],"colorectal,":[31],"ovarian":[33],"cancer":[34],"Screening":[35],"trial":[36],"National":[39],"Cancer":[40],"Institute.":[41],"such":[43,144],"situation,":[45],"widely":[47],"used":[48],"Gp":[49,73,153,171,199],"family":[50,74,201],"weighted":[52],"log-rank":[53,64],"statistics":[54,116,164,172],"essentially":[55],"reduces":[56],"to":[57,71,77,101,117,188,197,203],"special":[59],"case":[60],"(unweighted)":[63],"statistics.":[65],"We":[66],"propose":[67],"simple":[69],"modification":[70],"that":[75,85,149,161],"adapts":[76],"survival":[78],"data":[79],"with":[80],"rare":[81,125],"events,":[82],"concept":[84],"we":[86],"formulate":[87],"in":[88,111],"terms":[89],"small":[92],"number":[93],"events":[95],"at":[96],"endpoint":[99],"relative":[100],"sample":[103],"size.":[104],"The":[105],"usual":[106],"asymptotic":[107],"properties,":[108],"including":[109],"convergence":[110],"distribution":[112],"standardized":[115],"standard":[119],"normal,":[120],"are":[121,136,207],"obtained":[122],"under":[123],"formulation.":[127],"Semiparametric":[128],"transformation":[129],"models":[130],"forming":[131],"sequences":[132],"contiguous":[134],"alternatives":[135],"considered":[137],"and,":[138],"for":[139],"each":[140],"p,":[141],"specific":[143],"model":[145],"identified":[147],"so":[148],"corresponding":[151],"modified":[152],"statistic":[154],"asymptotically":[156],"efficient.":[157],"Simulation":[158],"studies":[159],"show":[160],"proposed":[163],"behave":[166],"differently":[167],"from":[168],"original":[170],"when":[173],"rate":[176],"period":[180],"low":[182],"former":[185],"could":[186],"lead":[187],"substantial":[190],"efficiency":[191],"gain":[192],"over":[193],"latter.":[195],"Extensions":[196],"\u03b3":[200],"regression":[205],"problem":[206],"also":[208],"given.":[209]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"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":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
