Statistical models for recurrent events and death: Application to cancer events
In many biomedical studies, subjects may experience the outcome of interest more than once over a period of observation; outcomes of this sort have been termed recurrent events. A model that is becoming increasingly popular for modeling association between recurrent survival times is the use of a fr...
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| Published in: | Mathematical and computer modelling Vol. 52; no. 7; pp. 949 - 955 |
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| Format: | Journal Article Conference Proceeding |
| Language: | English |
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01.10.2010
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| ISSN: | 0895-7177, 1872-9479 |
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| Abstract | In many biomedical studies, subjects may experience the outcome of interest more than once over a period of observation; outcomes of this sort have been termed recurrent events. A model that is becoming increasingly popular for modeling association between recurrent survival times is the use of a frailty model. In recent years a number of papers appeared, extending the survival models to models that are suitable to handle more complex survival data as recurrent events. We present here frailty model extensions to analyze recurrent events data: cure frailty models for a mixture of susceptible and insusceptible subjects for the event of interest; nested frailty models when data are clustered at several hierarchical levels and joint frailty models for the joint analysis of recurrent events and death. We performed a semi-parametric penalized likelihood approach to estimate the different parameters. Those different models can be fitted using the R package “frailtypack”. |
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| AbstractList | In many biomedical studies, subjects may experience the outcome of interest more than once over a period of observation; outcomes of this sort have been termed recurrent events. A model that is becoming increasingly popular for modeling association between recurrent survival times is the use of a frailty model. In recent years a number of papers appeared, extending the survival models to models that are suitable to handle more complex survival data as recurrent events. We present here frailty model extensions to analyze recurrent events data: cure frailty models for a mixture of susceptible and insusceptible subjects for the event of interest; nested frailty models when data are clustered at several hierarchical levels and joint frailty models for the joint analysis of recurrent events and death. We performed a semi-parametric penalized likelihood approach to estimate the different parameters. Those different models can be fitted using the R package “frailtypack”. |
| Author | Rondeau, V. |
| Author_xml | – sequence: 1 givenname: V. surname: Rondeau fullname: Rondeau, V. email: Virginie.Rondeau@isped.u-bordeaux2.fr organization: INSERM, CR897 (Biostatistic), Bordeaux, F-33076, France |
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| Cites_doi | 10.1023/A:1022978802021 10.1137/0909024 10.1002/sim.2510 10.1002/cncr.10451 10.1093/biostatistics/kxl043 10.1182/blood-2003-12-4434 10.1007/BF00985760 10.1137/0111030 10.1111/j.0006-341X.2000.00227.x 10.1002/sim.687 10.2307/2061224 10.1214/ss/1177012761 10.2307/2534006 10.1002/sim.4780141305 10.1111/j.2517-6161.1972.tb00899.x 10.1111/j.0006-341X.2004.00225.x 10.1016/j.cmpb.2005.06.010 |
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| Keywords | Cure frailty model Nested frailty model Penalized likelihood Frailty models Correlated survival times Joint frailty model Parameter estimation Applied mathematics Mathematical model Penalty method Computer aided analysis |
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| References | Joly, Commenges, Letenneur (b7) 1998; 54 Sy, Taylor (b12) 2000; 56 Duchateau, Janssen, Kezic, Fortpied (b2) 2003; 52 Ramsay (b8) 1988; 3 Rondeau, Gonzalez (b10) 2005; 80 Rondeau, Mathoulin-Pélissier, Jacqmin-Gadda, Brouste, Soubeyran (b21) 2007; 8 Fleming, Harrington (b19) 1991 de Mascarel, MacGrogan, Mathoulin-Pélissier, Soubeyran, Picot, Coindre (b11) 2002; 94 Rondeau, Commenges, Joly (b5) 2003; 9 Therneau, Grambsch (b16) 2000 Marquardt (b9) 1963; 11 Hougaard (b17) 1995; 1 Price, Manatunga (b13) 2001; 20 Vaupel, Manton, Stallard (b3) 1979; 16 Cook, Lawless (b1) 2007 Liu, Wolfe, Huang (b20) 2004; 60 Pickles, Crouchley (b18) 1995; 14 Solal-Celigny, Roy, Colombat, White, Armitage, Arranz-Saez, Au, Bellei, Brice, Caballero (b23) 2004; 104 Cox (b4) 1972; 34 Littell, Milliken, Stroup, Wolfinger (b14) 2006 Rondeau, Filleul, Joly (b15) 2006; 25 J. Kalbfleisch, R. Prentice, The Statistical Analysis of Failure Time Data, Wiley-Interscience, NY. Sullivan (b6) 1988; 9 Ramsay (10.1016/j.mcm.2010.02.002_b8) 1988; 3 Fleming (10.1016/j.mcm.2010.02.002_b19) 1991 Duchateau (10.1016/j.mcm.2010.02.002_b2) 2003; 52 Cox (10.1016/j.mcm.2010.02.002_b4) 1972; 34 Joly (10.1016/j.mcm.2010.02.002_b7) 1998; 54 Pickles (10.1016/j.mcm.2010.02.002_b18) 1995; 14 Solal-Celigny (10.1016/j.mcm.2010.02.002_b23) 2004; 104 Rondeau (10.1016/j.mcm.2010.02.002_b5) 2003; 9 de Mascarel (10.1016/j.mcm.2010.02.002_b11) 2002; 94 Rondeau (10.1016/j.mcm.2010.02.002_b15) 2006; 25 Rondeau (10.1016/j.mcm.2010.02.002_b21) 2007; 8 Hougaard (10.1016/j.mcm.2010.02.002_b17) 1995; 1 Sullivan (10.1016/j.mcm.2010.02.002_b6) 1988; 9 Littell (10.1016/j.mcm.2010.02.002_b14) 2006 10.1016/j.mcm.2010.02.002_b22 Sy (10.1016/j.mcm.2010.02.002_b12) 2000; 56 Liu (10.1016/j.mcm.2010.02.002_b20) 2004; 60 Cook (10.1016/j.mcm.2010.02.002_b1) 2007 Vaupel (10.1016/j.mcm.2010.02.002_b3) 1979; 16 Rondeau (10.1016/j.mcm.2010.02.002_b10) 2005; 80 Price (10.1016/j.mcm.2010.02.002_b13) 2001; 20 Marquardt (10.1016/j.mcm.2010.02.002_b9) 1963; 11 Therneau (10.1016/j.mcm.2010.02.002_b16) 2000 |
| References_xml | – year: 2000 ident: b16 article-title: Modeling Survival Data: Extending the Cox Model – volume: 9 start-page: 363 year: 1988 end-page: 379 ident: b6 article-title: Fast computation of fully automated log-density and log-hazard estimators publication-title: SIAM Journal on Scientific and Statistical Computing – volume: 16 start-page: 439 year: 1979 end-page: 454 ident: b3 article-title: The impact of heterogeneity in individual frailty on the dynamics of mortality publication-title: Demography – year: 1991 ident: b19 publication-title: Counting Processes and Survival Analysis – volume: 1 start-page: 255 year: 1995 end-page: 273 ident: b17 article-title: Frailty models for survival data publication-title: Lifetime Data Analysis – volume: 94 start-page: 2134 year: 2002 end-page: 2142 ident: b11 article-title: Breast ductal carcinoma in situ with microinvasion: A definition supported by a long-term study of 1248 serially sectioned ductal carcinomas publication-title: Cancer – volume: 104 start-page: 1258 year: 2004 end-page: 1265 ident: b23 article-title: Follicular lymphoma international prognostic index publication-title: Blood – year: 2006 ident: b14 article-title: SAS for Mixed Models – volume: 60 start-page: 747 year: 2004 end-page: 756 ident: b20 article-title: Shared frailty models for recurrent events and a terminal event publication-title: Biometrics – volume: 20 start-page: 1515 year: 2001 end-page: 1527 ident: b13 article-title: Modelling survival data with a cured fraction using frailty models publication-title: Statistics in Medicine – volume: 54 start-page: 185 year: 1998 end-page: 194 ident: b7 article-title: A penalized likelihood approach for arbitrarily censored and truncated data: Application to age-specific incidence of dementia publication-title: Biometrics – volume: 25 start-page: 4036 year: 2006 end-page: 4052 ident: b15 article-title: Nested frailty models using maximum penalized likelihood estimation publication-title: Statistics in Medicine – reference: J. Kalbfleisch, R. Prentice, The Statistical Analysis of Failure Time Data, Wiley-Interscience, NY. – year: 2007 ident: b1 article-title: The Statistical Analysis of Recurrent Events – volume: 52 start-page: 355 year: 2003 end-page: 363 ident: b2 article-title: Evolution of recurrent asthma event rate over time in frailty models publication-title: Applied Statistics – volume: 34 start-page: 187 year: 1972 end-page: 220 ident: b4 article-title: Regression models and life-tables publication-title: Journal of the Royal Statistical Society. Series B. Methodological – volume: 14 start-page: 1447 year: 1995 end-page: 1461 ident: b18 article-title: A comparison of frailty models for multivariate survival data publication-title: Statistics in Medicine – volume: 56 start-page: 227 year: 2000 end-page: 236 ident: b12 article-title: Estimation in a Cox proportional hazards cure model publication-title: Biometrics – volume: 8 start-page: 708 year: 2007 end-page: 721 ident: b21 article-title: Joint frailty models for recurring events and death using maximum penalized likelihood estimation: Application on cancer events publication-title: Biostatistics – volume: 9 start-page: 139 year: 2003 end-page: 153 ident: b5 article-title: Maximum penalized likelihood estimation in a gamma-frailty model publication-title: Lifetime Data Analysis – volume: 80 start-page: 154 year: 2005 end-page: 164 ident: b10 article-title: Frailtypack: A computer program for the analysis of correlated failure time data using penalized likelihood estimation publication-title: Computer Methods and Programs in Biomedicine – volume: 3 start-page: 425 year: 1988 end-page: 461 ident: b8 article-title: Monotone regression splines in action publication-title: Statistical Science – volume: 11 start-page: 431 year: 1963 end-page: 441 ident: b9 article-title: An algorithm for least-squares estimation of nonlinear parameters publication-title: Journal of the Society for Industrial and Applied Mathematics – volume: 9 start-page: 139 issue: 2 year: 2003 ident: 10.1016/j.mcm.2010.02.002_b5 article-title: Maximum penalized likelihood estimation in a gamma-frailty model publication-title: Lifetime Data Analysis doi: 10.1023/A:1022978802021 – volume: 9 start-page: 363 year: 1988 ident: 10.1016/j.mcm.2010.02.002_b6 article-title: Fast computation of fully automated log-density and log-hazard estimators publication-title: SIAM Journal on Scientific and Statistical Computing doi: 10.1137/0909024 – ident: 10.1016/j.mcm.2010.02.002_b22 – volume: 25 start-page: 4036 issue: 23 year: 2006 ident: 10.1016/j.mcm.2010.02.002_b15 article-title: Nested frailty models using maximum penalized likelihood estimation publication-title: Statistics in Medicine doi: 10.1002/sim.2510 – volume: 94 start-page: 2134 issue: 8 year: 2002 ident: 10.1016/j.mcm.2010.02.002_b11 article-title: Breast ductal carcinoma in situ with microinvasion: A definition supported by a long-term study of 1248 serially sectioned ductal carcinomas publication-title: Cancer doi: 10.1002/cncr.10451 – volume: 8 start-page: 708 issue: 4 year: 2007 ident: 10.1016/j.mcm.2010.02.002_b21 article-title: Joint frailty models for recurring events and death using maximum penalized likelihood estimation: Application on cancer events publication-title: Biostatistics doi: 10.1093/biostatistics/kxl043 – year: 2007 ident: 10.1016/j.mcm.2010.02.002_b1 – volume: 104 start-page: 1258 issue: 5 year: 2004 ident: 10.1016/j.mcm.2010.02.002_b23 article-title: Follicular lymphoma international prognostic index publication-title: Blood doi: 10.1182/blood-2003-12-4434 – volume: 52 start-page: 355 issue: 3 year: 2003 ident: 10.1016/j.mcm.2010.02.002_b2 article-title: Evolution of recurrent asthma event rate over time in frailty models publication-title: Applied Statistics – volume: 1 start-page: 255 issue: 3 year: 1995 ident: 10.1016/j.mcm.2010.02.002_b17 article-title: Frailty models for survival data publication-title: Lifetime Data Analysis doi: 10.1007/BF00985760 – year: 2000 ident: 10.1016/j.mcm.2010.02.002_b16 – volume: 11 start-page: 431 issue: 2 year: 1963 ident: 10.1016/j.mcm.2010.02.002_b9 article-title: An algorithm for least-squares estimation of nonlinear parameters publication-title: Journal of the Society for Industrial and Applied Mathematics doi: 10.1137/0111030 – volume: 56 start-page: 227 issue: 1 year: 2000 ident: 10.1016/j.mcm.2010.02.002_b12 article-title: Estimation in a Cox proportional hazards cure model publication-title: Biometrics doi: 10.1111/j.0006-341X.2000.00227.x – volume: 20 start-page: 1515 issue: 9–10 year: 2001 ident: 10.1016/j.mcm.2010.02.002_b13 article-title: Modelling survival data with a cured fraction using frailty models publication-title: Statistics in Medicine doi: 10.1002/sim.687 – volume: 16 start-page: 439 year: 1979 ident: 10.1016/j.mcm.2010.02.002_b3 article-title: The impact of heterogeneity in individual frailty on the dynamics of mortality publication-title: Demography doi: 10.2307/2061224 – volume: 3 start-page: 425 issue: 4 year: 1988 ident: 10.1016/j.mcm.2010.02.002_b8 article-title: Monotone regression splines in action publication-title: Statistical Science doi: 10.1214/ss/1177012761 – year: 2006 ident: 10.1016/j.mcm.2010.02.002_b14 – year: 1991 ident: 10.1016/j.mcm.2010.02.002_b19 – volume: 54 start-page: 185 issue: 1 year: 1998 ident: 10.1016/j.mcm.2010.02.002_b7 article-title: A penalized likelihood approach for arbitrarily censored and truncated data: Application to age-specific incidence of dementia publication-title: Biometrics doi: 10.2307/2534006 – volume: 14 start-page: 1447 issue: 13 year: 1995 ident: 10.1016/j.mcm.2010.02.002_b18 article-title: A comparison of frailty models for multivariate survival data publication-title: Statistics in Medicine doi: 10.1002/sim.4780141305 – volume: 34 start-page: 187 year: 1972 ident: 10.1016/j.mcm.2010.02.002_b4 article-title: Regression models and life-tables publication-title: Journal of the Royal Statistical Society. Series B. Methodological doi: 10.1111/j.2517-6161.1972.tb00899.x – volume: 60 start-page: 747 issue: 3 year: 2004 ident: 10.1016/j.mcm.2010.02.002_b20 article-title: Shared frailty models for recurrent events and a terminal event publication-title: Biometrics doi: 10.1111/j.0006-341X.2004.00225.x – volume: 80 start-page: 154 issue: 2 year: 2005 ident: 10.1016/j.mcm.2010.02.002_b10 article-title: Frailtypack: A computer program for the analysis of correlated failure time data using penalized likelihood estimation publication-title: Computer Methods and Programs in Biomedicine doi: 10.1016/j.cmpb.2005.06.010 |
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| SubjectTerms | Correlated survival times Cure frailty model Exact sciences and technology Frailty models Joint frailty model Mathematical analysis Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Nested frailty model Numerical analysis. Scientific computation Penalized likelihood Sciences and techniques of general use |
| Title | Statistical models for recurrent events and death: Application to cancer events |
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