{"id":"https://openalex.org/W2108574622","doi":"https://doi.org/10.1002/sim.3339","title":"Summarizing differences in cumulative incidence functions","display_name":"Summarizing differences in cumulative incidence functions","publication_year":2008,"publication_date":"2008-06-18","ids":{"openalex":"https://openalex.org/W2108574622","doi":"https://doi.org/10.1002/sim.3339","mag":"2108574622","pmid":"https://pubmed.ncbi.nlm.nih.gov/18563792","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/3310382"},"language":"en","primary_location":{"id":"doi:10.1002/sim.3339","doi":"https://doi.org/10.1002/sim.3339","is_oa":false,"landing_page_url":"https://doi.org/10.1002/sim.3339","pdf_url":null,"source":{"id":"https://openalex.org/S55189604","display_name":"Statistics in Medicine","issn_l":"0277-6715","issn":["0277-6715","1097-0258"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-2","ki-jl-2","medline","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics in Medicine","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3310382","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101695997","display_name":"Mei\u2010Jie Zhang","orcid":"https://orcid.org/0000-0003-3291-9970","observed_orcids":["https://orcid.org/0000-0003-3291-9970"]},"institutions":[{"id":"https://openalex.org/I204308271","display_name":"Medical College of Wisconsin","ror":"https://ror.org/00qqv6244","country_code":"US","type":"education","lineage":["https://openalex.org/I204308271"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mei\u2010Jie Zhang","raw_affiliation_strings":["Division of Biostatistics, Medical College of Wisconsin, Milwaukee, WI 53226, USA. meijie@mcw.edu","Division of Biostatistics, Medical College of Wisconsin, Milwaukee, WI, 53226, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Biostatistics, Medical College of Wisconsin, Milwaukee, WI 53226, USA. meijie@mcw.edu","institution_ids":["https://openalex.org/I204308271"]},{"raw_affiliation_string":"Division of Biostatistics, Medical College of Wisconsin, Milwaukee, WI, 53226, USA","institution_ids":["https://openalex.org/I204308271"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034035782","display_name":"Jason P. Fine","orcid":"https://orcid.org/0000-0001-7208-7983","observed_orcids":["https://orcid.org/0000-0001-7208-7983"]},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jason Fine","raw_affiliation_strings":["Department of Biostatistics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biostatistics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, U.S.A","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101695997"],"corresponding_institution_ids":["https://openalex.org/I204308271"],"apc_list":{"value":5450,"currency":"USD","value_usd":5450},"apc_paid":null,"fwci":3.0012,"has_fulltext":true,"cited_by_count":50,"citation_normalized_percentile":{"value":0.91998668,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"27","issue":"24","first_page":"4939","last_page":"4949"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.6528000235557556,"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":0.6528000235557556,"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":0.27559998631477356,"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":0.026000000536441803,"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/cumulative-incidence-function","display_name":"cumulative incidence function","score":0.996999979019165},{"id":"https://openalex.org/keywords/competing-risks","display_name":"competing risks","score":0.9869999885559082},{"id":"https://openalex.org/keywords/group-differences","display_name":"group differences","score":0.6110000014305115},{"id":"https://openalex.org/keywords/nonparametric-inference","display_name":"nonparametric inference","score":0.8119999766349792},{"id":"https://openalex.org/keywords/counting-processes","display_name":"counting processes","score":0.7620000243186951},{"id":"https://openalex.org/keywords/proportional-hazards-model","display_name":"proportional hazards model","score":0.6919999718666077},{"id":"https://openalex.org/keywords/log-rank-test","display_name":"log-rank test","score":0.7870000004768372}],"concepts":[{"id":"https://openalex.org/C88879693","wikidata":"https://www.wikidata.org/wiki/Q217690","display_name":"Cumulative incidence","level":3,"score":0.757752001285553},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.646581768989563},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6337310671806335},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6053035855293274},{"id":"https://openalex.org/C49261128","wikidata":"https://www.wikidata.org/wiki/Q1132455","display_name":"Hazard","level":2,"score":0.5612415671348572},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4912044405937195},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.47599780559539795},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46711859107017517},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44074732065200806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4315348267555237},{"id":"https://openalex.org/C61511704","wikidata":"https://www.wikidata.org/wiki/Q1671857","display_name":"Incidence (geometry)","level":2,"score":0.42725038528442383},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.42261937260627747},{"id":"https://openalex.org/C66339696","wikidata":"https://www.wikidata.org/wiki/Q6089397","display_name":"Log-rank test","level":3,"score":0.4210605323314667},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.42039650678634644},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4138188064098358},{"id":"https://openalex.org/C50382708","wikidata":"https://www.wikidata.org/wiki/Q223218","display_name":"Proportional hazards model","level":2,"score":0.3986791670322418},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3828634023666382},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.07882174849510193},{"id":"https://openalex.org/C72563966","wikidata":"https://www.wikidata.org/wiki/Q1303415","display_name":"Cohort","level":2,"score":0.07215994596481323},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[{"descriptor_ui":"D003627","descriptor_name":"Data Interpretation, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015994","descriptor_name":"Incidence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015996","descriptor_name":"Survival Rate","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016016","descriptor_name":"Proportional Hazards Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016019","descriptor_name":"Survival Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016026","descriptor_name":"Bone Marrow Transplantation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D018709","descriptor_name":"Statistics, Nonparametric","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1002/sim.3339","doi":"https://doi.org/10.1002/sim.3339","is_oa":false,"landing_page_url":"https://doi.org/10.1002/sim.3339","pdf_url":null,"source":{"id":"https://openalex.org/S55189604","display_name":"Statistics in Medicine","issn_l":"0277-6715","issn":["0277-6715","1097-0258"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-2","ki-jl-2","medline","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics in Medicine","raw_type":"journal-article"},{"id":"pmid:18563792","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/18563792","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics in medicine","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:3310382","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3310382","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Stat Med","raw_type":"Text"},{"id":"pmh:cdr.lib.unc.edu:6682xc84p","doi":null,"is_oa":true,"landing_page_url":"https://doi.org/10.17615/ck2y-cv51","pdf_url":"https://cdr.lib.unc.edu/downloads/9z903734z","source":{"id":"https://openalex.org/S4306401075","display_name":"Carolina Digital Repository (University of North Carolina at Chapel Hill)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114027177","host_organization_name":"University of North Carolina at Chapel Hill","host_organization_lineage":["https://openalex.org/I114027177"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Statistics in Medicine, 27(24)","raw_type":"Article"},{"id":"doi:10.17615/ck2y-cv51","doi":"https://doi.org/10.17615/ck2y-cv51","is_oa":true,"landing_page_url":"https://doi.org/10.17615/ck2y-cv51","pdf_url":null,"source":{"id":"https://openalex.org/S7407051488","display_name":"UNC Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:3310382","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3310382","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Stat Med","raw_type":"Text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3554765032","display_name":"Frailty Models and Survival Analysis in Cancer Research","funder_award_id":"R01CA094893","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G4350346625","display_name":"Techniques for modeling complex longitidinal studies","funder_award_id":"R01CA054706","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G5070435602","display_name":null,"funder_award_id":"2 R01 CA54706-10","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G71089118","display_name":null,"funder_award_id":"R01 CA54706-10","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G8527272899","display_name":null,"funder_award_id":"1 R01 CA94893-01","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"}],"funders":[{"id":"https://openalex.org/F4320337351","display_name":"National Cancer Institute","ror":"https://ror.org/040gcmg81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2108574622.pdf","grobid_xml":"https://content.openalex.org/works/W2108574622.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1513084177","https://openalex.org/W1580788756","https://openalex.org/W1973617793","https://openalex.org/W1979300931","https://openalex.org/W1984615684","https://openalex.org/W2020551482","https://openalex.org/W2038981426","https://openalex.org/W2041055738","https://openalex.org/W2043931365","https://openalex.org/W2073140442","https://openalex.org/W2084279011","https://openalex.org/W2085107973","https://openalex.org/W2089322099","https://openalex.org/W2099130578","https://openalex.org/W2111161705","https://openalex.org/W2165064053","https://openalex.org/W2527059686","https://openalex.org/W2796930163","https://openalex.org/W2977606681","https://openalex.org/W2995133996","https://openalex.org/W3041047318","https://openalex.org/W3147894994","https://openalex.org/W4233019352","https://openalex.org/W4285719527","https://openalex.org/W4292027009"],"related_works":["https://openalex.org/W2168622376","https://openalex.org/W2182702388","https://openalex.org/W2040775233","https://openalex.org/W2004009085","https://openalex.org/W4398208497","https://openalex.org/W2123089154","https://openalex.org/W2038981426","https://openalex.org/W2092320195","https://openalex.org/W2336369723","https://openalex.org/W2050157885"],"abstract_inverted_index":{"The":[0],"cumulative":[1,41],"incidence":[2,42],"function":[3,43],"is":[4,44,84],"widely":[5],"reported":[6],"in":[7],"competing":[8],"risks":[9],"studies,":[10],"with":[11],"group":[12,27],"differences":[13,28],"assessed":[14],"by":[15],"an":[16],"extension":[17],"of":[18,26,34,50,79,98],"the":[19,35,40,48,51,59,80,95,99],"log-rank":[20],"test.":[21],"However,":[22],"simple,":[23],"interpretable":[24],"summaries":[25],"are":[29],"not":[30],"available.":[31],"An":[32],"adaptation":[33],"proportional":[36],"hazards":[37],"model":[38],"to":[39],"often":[45],"employed,":[46],"but":[47],"interpretation":[49],"hazard":[52],"ratio":[53],"may":[54,72],"be":[55,73],"somewhat":[56],"awkward,":[57],"unlike":[58],"usual":[60],"survival":[61],"set-up.":[62],"We":[63],"propose":[64],"nonparametric":[65],"inferences":[66],"for":[67,76],"general":[68],"summary":[69],"measures,":[70],"which":[71],"time-varying,":[74],"and":[75],"time-averaged":[77],"versions":[78],"measures.":[81],"Theoretical":[82],"justification":[83],"provided":[85],"using":[86],"counting":[87],"process":[88],"techniques.":[89],"A":[90],"real":[91],"data":[92],"example":[93],"illustrates":[94],"practical":[96],"utility":[97],"methods.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
