Estimation and modeling of the restricted mean time lost in the presence of competing risks

Survival data with competing or semi‐competing risks are common in observational studies. As an alternative to cause‐specific and subdistribution hazard ratios, the between‐group difference in cause‐specific restricted mean times lost (RMTL) gives the mean difference in life expectancy lost to a spe...

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Veröffentlicht in:Statistics in medicine Jg. 40; H. 9; S. 2177 - 2196
Hauptverfasser: Conner, Sarah C., Trinquart, Ludovic
Format: Journal Article
Sprache:Englisch
Veröffentlicht: England Wiley Subscription Services, Inc 01.04.2021
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ISSN:0277-6715, 1097-0258, 1097-0258
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Abstract Survival data with competing or semi‐competing risks are common in observational studies. As an alternative to cause‐specific and subdistribution hazard ratios, the between‐group difference in cause‐specific restricted mean times lost (RMTL) gives the mean difference in life expectancy lost to a specific cause of death or in disease‐free time lost, in the case of a nonfatal outcome, over a prespecified period. To adjust for covariates, we introduce an inverse probability weighted estimator and its variance for the marginal difference in RMTL. We also introduce an inverse probability of censoring weighted regression model for the RMTL. In simulation studies, we examined the finite sample performance of the proposed methods under proportional and nonproportional subdistribution hazards scenarios. We illustrated both methods with competing risks data from the Framingham Heart Study. We estimated sex differences in atrial fibrillation (AF)‐free times lost over 40 years. We also estimated sex differences in mean lifetime lost to cardiovascular disease (CVD) and non‐CVD death over 10 years among individuals with AF.
AbstractList Survival data with competing or semi-competing risks are common in observational studies. As an alternative to cause-specific and subdistribution hazard ratios, the between-group difference in cause-specific restricted mean times lost (RMTL) gives the mean difference in life expectancy lost to a specific cause of death or in disease-free time lost, in the case of a nonfatal outcome, over a pre-specified period. To adjust for covariates, we introduce an inverse probability weighted estimator and its variance for the marginal difference in RMTL. We also introduce an inverse probability of censoring weighted regression model for the RMTL. In simulation studies, we examined the finite sample performance of the proposed methods under proportional and nonproportional subdistribution hazards scenarios. We illustrated both methods with competing risks data from the Framingham Heart Study. We estimated sex differences in atrial fibrillation (AF)-free times lost over 40 years. We also estimated sex differences in mean lifetime lost to cardiovascular disease (CVD) and non-CVD death over 10 years among individuals with AF.
Survival data with competing or semi-competing risks are common in observational studies. As an alternative to cause-specific and subdistribution hazard ratios, the between-group difference in cause-specific restricted mean times lost (RMTL) gives the mean difference in life expectancy lost to a specific cause of death or in disease-free time lost, in the case of a nonfatal outcome, over a prespecified period. To adjust for covariates, we introduce an inverse probability weighted estimator and its variance for the marginal difference in RMTL. We also introduce an inverse probability of censoring weighted regression model for the RMTL. In simulation studies, we examined the finite sample performance of the proposed methods under proportional and nonproportional subdistribution hazards scenarios. We illustrated both methods with competing risks data from the Framingham Heart Study. We estimated sex differences in atrial fibrillation (AF)-free times lost over 40 years. We also estimated sex differences in mean lifetime lost to cardiovascular disease (CVD) and non-CVD death over 10 years among individuals with AF.Survival data with competing or semi-competing risks are common in observational studies. As an alternative to cause-specific and subdistribution hazard ratios, the between-group difference in cause-specific restricted mean times lost (RMTL) gives the mean difference in life expectancy lost to a specific cause of death or in disease-free time lost, in the case of a nonfatal outcome, over a prespecified period. To adjust for covariates, we introduce an inverse probability weighted estimator and its variance for the marginal difference in RMTL. We also introduce an inverse probability of censoring weighted regression model for the RMTL. In simulation studies, we examined the finite sample performance of the proposed methods under proportional and nonproportional subdistribution hazards scenarios. We illustrated both methods with competing risks data from the Framingham Heart Study. We estimated sex differences in atrial fibrillation (AF)-free times lost over 40 years. We also estimated sex differences in mean lifetime lost to cardiovascular disease (CVD) and non-CVD death over 10 years among individuals with AF.
Survival data with competing or semi‐competing risks are common in observational studies. As an alternative to cause‐specific and subdistribution hazard ratios, the between‐group difference in cause‐specific restricted mean times lost (RMTL) gives the mean difference in life expectancy lost to a specific cause of death or in disease‐free time lost, in the case of a nonfatal outcome, over a prespecified period. To adjust for covariates, we introduce an inverse probability weighted estimator and its variance for the marginal difference in RMTL. We also introduce an inverse probability of censoring weighted regression model for the RMTL. In simulation studies, we examined the finite sample performance of the proposed methods under proportional and nonproportional subdistribution hazards scenarios. We illustrated both methods with competing risks data from the Framingham Heart Study. We estimated sex differences in atrial fibrillation (AF)‐free times lost over 40 years. We also estimated sex differences in mean lifetime lost to cardiovascular disease (CVD) and non‐CVD death over 10 years among individuals with AF.
Author Conner, Sarah C.
Trinquart, Ludovic
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Cites_doi 10.1093/aje/kwu122
10.1002/sim.6949
10.1214/ss/1009211805
10.1214/13-AOAS637
10.1093/biomet/73.2.379
10.1080/01621459.1999.10474144
10.1080/01621459.1993.10476289
10.1093/biomet/asm096
10.1007/s10985-014-9313-9
10.1007/s10985-004-4771-0
10.1002/sim.2727
10.1002/sim.1203
10.1200/JCO.2016.69.4539
10.1093/biostatistics/kxt050
10.1016/j.cmpb.2016.03.008
10.1111/biom.13200
10.1002/sim.8008
10.1007/s10985-017-9391-6
10.1200/JCO.2015.64.2488
10.1161/CIRCOUTCOMES.119.005918
10.1111/biom.13237
10.1002/sim.5705
10.1093/biomet/80.4.807
10.1161/JAHA.119.013011
10.1093/aje/kwn164
10.1002/sim.5815
10.1016/j.jclinepi.2012.09.017
10.1136/bmj.m2724
10.1007/s10985-013-9242-z
10.1186/s12874-018-0484-z
10.1093/annonc/mdy462
10.1002/sim.8206
10.1214/aos/1176350951
10.4310/SII.2019.v12.n3.a7
10.1023/A:1014887507027
10.1002/sim.5903
10.1001/jamacardio.2018.0127
10.1093/biomet/87.2.329
10.1111/j.0006-341X.2002.00643.x
10.1177/0962280219842271
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Issue 9
Keywords restricted mean survival
competing risks
restricted mean time lost
survival analysis
cumulative incidence
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References 2019; 8
2002; 58
2015; 181
1986; 73
2013; 66
2019; 30
2016; 129
2000; 87
1993; 88
2019; 12
2020; kxaa017
1988; 16
2002; 8
2019; 38
1978; 5
2020; 13
2020; 76
2008; 168
2013; 7
2008; 95
2016; 35
2016; 34
2018; 24
2004; 10
2013; 19
2018; 18
2018; 3
2013; 32
2002; 21
2020; 370
2017; 35
2015; 21
1999; 14
2014; 15
2018; k1453
1993; 80
1999; 94
2007; 26
2020; 29
e_1_2_10_23_1
e_1_2_10_24_1
e_1_2_10_21_1
Kipourou DK (e_1_2_10_33_1) 2020; 017
e_1_2_10_44_1
e_1_2_10_43_1
e_1_2_10_42_1
e_1_2_10_20_1
Staerk L (e_1_2_10_22_1) 2018; 1453
e_1_2_10_41_1
e_1_2_10_2_1
e_1_2_10_4_1
e_1_2_10_18_1
e_1_2_10_3_1
e_1_2_10_19_1
e_1_2_10_6_1
e_1_2_10_16_1
e_1_2_10_39_1
e_1_2_10_5_1
e_1_2_10_17_1
e_1_2_10_38_1
e_1_2_10_8_1
e_1_2_10_14_1
e_1_2_10_37_1
e_1_2_10_7_1
e_1_2_10_15_1
e_1_2_10_36_1
e_1_2_10_12_1
e_1_2_10_35_1
e_1_2_10_9_1
e_1_2_10_13_1
e_1_2_10_34_1
e_1_2_10_10_1
e_1_2_10_11_1
e_1_2_10_32_1
e_1_2_10_31_1
e_1_2_10_30_1
Aalen OO (e_1_2_10_40_1) 1978; 5
e_1_2_10_29_1
e_1_2_10_27_1
e_1_2_10_28_1
e_1_2_10_25_1
e_1_2_10_26_1
References_xml – volume: 32
  start-page: 5278
  issue: 30
  year: 2013
  end-page: 5285
  article-title: Decomposition of number of life years lost according to causes of death
  publication-title: Stat Med
– volume: 12
  start-page: 423
  issue: 3
  year: 2019
  end-page: 437
  article-title: Adjusted‐crude‐incidence analysis of multiple treatments and unbalanced samples on competing risks
  publication-title: Stat Interface
– volume: 58
  start-page: 643
  issue: 3
  year: 2002
  end-page: 649
  article-title: Median regression with censored cost data
  publication-title: Biometrics
– volume: 21
  start-page: 197
  issue: 2
  year: 2015
  end-page: 217
  article-title: Checking fine and gray subdistribution hazards model with cumulative sums of residuals
  publication-title: Lifetime Data Anal
– volume: 73
  start-page: 379
  issue: 2
  year: 1986
  end-page: 386
  article-title: A note on semi‐Markov models for partially censored data
  publication-title: Biometrika
– volume: 181
  start-page: 238
  issue: 4
  year: 2015
  end-page: 245
  article-title: Estimation of the standardized risk difference and ratio in a competing risks framework: application to injection drug use and progression to AIDS after initiation of antiretroviral therapy
  publication-title: Am J Epidemiol
– volume: 32
  start-page: 3804
  issue: 22
  year: 2013
  end-page: 3811
  article-title: Goodness‐of‐fit test for proportional subdistribution hazards model
  publication-title: Stat Med
– volume: 13
  issue: 4
  year: 2020
  article-title: Novel risk modeling approach of atrial fibrillation with restricted mean survival times: application in the framingham heart study community‐based cohort
  publication-title: Circ Cardiovasc Qual Outcomes
– volume: 32
  start-page: 2837
  issue: 16
  year: 2013
  end-page: 2849
  article-title: The performance of different propensity score methods for estimating marginal hazard ratios
  publication-title: Stat Med
– volume: 95
  start-page: 205
  issue: 1
  year: 2008
  end-page: 220
  article-title: Predicting cumulative incidence probability by direct binomial regression
  publication-title: Biometrika
– volume: 76
  start-page: 799
  issue: 3
  year: 2020
  end-page: 810
  article-title: G‐estimation of structural nested restricted mean time lost models to estimate effects of time‐varying treatments on a failure time outcome
  publication-title: Biometrics
– volume: kxaa017
  year: 2020
  article-title: Direct modeling of the crude probability of cancer death and the number of life years lost due to cancer without the need of cause of death: a pseudo‐observation approach in the relative survival setting
  publication-title: Biostatistics
– volume: 66
  start-page: 648
  issue: 6
  year: 2013
  end-page: 653
  article-title: A competing risks analysis should report results on all cause‐specific hazards and cumulative incidence functions
  publication-title: J Clin Epidemiol
– volume: 3
  start-page: 357
  issue: 4
  year: 2018
  end-page: 358
  article-title: Estimating treatment effect with clinical interpretation from a comparative clinical trial with an end point subject to competing risks
  publication-title: JAMA Cardiol
– volume: 34
  start-page: 1813
  issue: 15
  year: 2016
  end-page: 1819
  article-title: Comparison of treatment effects measured by the hazard ratio and by the ratio of restricted mean survival times in oncology randomized controlled trials
  publication-title: J Clin Oncol
– volume: 18
  start-page: 27
  issue: 1
  year: 2018
  article-title: An application of restricted mean survival time in a competing risks setting: comparing time to ART initiation by injection drug use
  publication-title: BMC Med Res Methodol
– volume: 5
  start-page: 141
  issue: 3
  year: 1978
  end-page: 150
  article-title: An empirical transition matrix for non‐homogeneous Markov chains based on censored observations
  publication-title: Scand J Stat
– volume: 168
  start-page: 656
  issue: 6
  year: 2008
  end-page: 664
  article-title: Constructing inverse probability weights for marginal structural models
  publication-title: Am J Epidemiol
– volume: 24
  start-page: 176
  issue: 1
  year: 2018
  end-page: 199
  article-title: Modeling restricted mean survival time under general censoring mechanisms
  publication-title: Lifetime Data Anal
– volume: 26
  start-page: 1649
  issue: 7
  year: 2007
  article-title: Misspecified regression model for the subdistribution hazard of a competing risk
  publication-title: Stat Med
– volume: 80
  start-page: 807
  issue: 4
  year: 1993
  end-page: 815
  article-title: A geometric approach to assess bias due to omitted covariates in generalized linear models
  publication-title: Biometrika
– volume: 370
  start-page: m2724
  year: 2020
  article-title: 45‐year trend in excess mortality associated with atrial fibrillation in the community‐based Framingham heart study cohorts
  publication-title: BMJ
– volume: 10
  start-page: 335
  issue: 4
  year: 2004
  end-page: 350
  article-title: Regression analysis of restricted mean survival time based on pseudo‐observations
  publication-title: Lifetime Data Anal
– volume: 15
  start-page: 222
  issue: 2
  year: 2014
  end-page: 233
  article-title: Predicting the restricted mean event time with the subject's baseline covariates in survival analysis
  publication-title: Biostatistics
– volume: 38
  start-page: 3832
  issue: 20
  year: 2019
  end-page: 3860
  article-title: Adjusted restricted mean survival times in observational studies
  publication-title: Stat Med
– volume: 8
  issue: 16
  year: 2019
  article-title: Refining the association between body mass index and atrial fibrillation: G‐formula and restricted mean survival times
  publication-title: J Am Heart Assoc
– volume: 16
  start-page: 1141
  issue: 3
  year: 1988
  end-page: 1154
  article-title: A class of K‐sample tests for comparing the cumulative incidence of a competing risk
  publication-title: Ann Stat
– volume: 8
  start-page: 147
  issue: 2
  year: 2002
  end-page: 161
  article-title: Testing equality of cause‐specific hazard rates corresponding to m competing risks among K groups
  publication-title: Lifetime Data Anal
– volume: 14
  start-page: 29
  issue: 1
  year: 1999
  end-page: 46
  article-title: Confounding and collapsibility in causal inference
  publication-title: Stat Sci
– volume: 87
  start-page: 329
  issue: 2
  year: 2000
  end-page: 343
  article-title: Estimating medical costs with censored data
  publication-title: Biometrika
– volume: 29
  start-page: 752
  issue: 3
  year: 2020
  end-page: 764
  article-title: Regression analysis in an illness‐death model with interval‐censored data: a pseudo‐value approach
  publication-title: Stat Methods Med Res
– volume: 35
  start-page: 3595
  issue: 20
  year: 2016
  end-page: 3612
  article-title: Doubly robust survival trees
  publication-title: Stat Med
– volume: 19
  start-page: 279
  issue: 3
  year: 2013
  end-page: 296
  article-title: On collapsibility and confounding bias in Cox and Aalen regression models
  publication-title: Lifetime Data Anal
– volume: 94
  start-page: 496
  issue: 446
  year: 1999
  end-page: 509
  article-title: A proportional hazards model for the subdistribution of a competing risk
  publication-title: J Am Stat Assoc
– volume: 30
  start-page: 96
  issue: 1
  year: 2019
  end-page: 102
  article-title: Interpretation of time‐to‐event outcomes in randomized trials: an online randomized experiment
  publication-title: Ann Oncol
– volume: 38
  start-page: 751
  issue: 5
  year: 2019
  end-page: 777
  article-title: Propensity‐score matching with competing risks in survival analysis
  publication-title: Stat Med
– volume: 21
  start-page: 2175
  issue: 15
  year: 2002
  end-page: 2197
  article-title: Flexible parametric proportional‐hazards and proportional‐odds models for censored survival data, with application to prognostic modelling and estimation of treatment effects
  publication-title: Stat Med
– volume: 7
  start-page: 1474
  issue: 3
  year: 2013
  end-page: 1496
  article-title: Estimating restricted mean job tenures in semi‐competing risk data compensating victims of discrimination
  publication-title: Ann Appl Stat
– volume: 76
  start-page: 1157
  issue: 4
  year: 2020
  end-page: 1166
  article-title: On the empirical choice of the time window for restricted mean survival time
  publication-title: Biometrics
– volume: 129
  start-page: 63
  year: 2016
  end-page: 70
  article-title: Covariate adjustment of cumulative incidence functions for competing risks data using inverse probability of treatment weighting
  publication-title: Comput Methods Prog Biomed
– volume: k1453
  start-page: 361
  year: 2018
  article-title: Lifetime risk of atrial fibrillation according to optimal, borderline, or elevated levels of risk factors: cohort study based on longitudinal data from the framingham heart study
  publication-title: British Med J
– volume: 88
  start-page: 400
  issue: 422
  year: 1993
  end-page: 409
  article-title: On the use of cause‐specific failure and conditional failure probabilities: examples from clinical oncology data
  publication-title: J Am Stat Assoc
– volume: 35
  start-page: 466
  issue: 4
  year: 2017
  article-title: Reply to KH Eng et al
  publication-title: J Clin Oncol
– ident: e_1_2_10_14_1
  doi: 10.1093/aje/kwu122
– ident: e_1_2_10_37_1
  doi: 10.1002/sim.6949
– ident: e_1_2_10_28_1
  doi: 10.1214/ss/1009211805
– ident: e_1_2_10_35_1
  doi: 10.1214/13-AOAS637
– ident: e_1_2_10_41_1
  doi: 10.1093/biomet/73.2.379
– ident: e_1_2_10_9_1
  doi: 10.1080/01621459.1999.10474144
– ident: e_1_2_10_42_1
  doi: 10.1080/01621459.1993.10476289
– ident: e_1_2_10_43_1
  doi: 10.1093/biomet/asm096
– ident: e_1_2_10_19_1
  doi: 10.1007/s10985-014-9313-9
– ident: e_1_2_10_6_1
  doi: 10.1007/s10985-004-4771-0
– volume: 1453
  start-page: 361
  year: 2018
  ident: e_1_2_10_22_1
  article-title: Lifetime risk of atrial fibrillation according to optimal, borderline, or elevated levels of risk factors: cohort study based on longitudinal data from the framingham heart study
  publication-title: British Med J
– ident: e_1_2_10_31_1
  doi: 10.1002/sim.2727
– ident: e_1_2_10_5_1
  doi: 10.1002/sim.1203
– ident: e_1_2_10_30_1
  doi: 10.1200/JCO.2016.69.4539
– ident: e_1_2_10_7_1
  doi: 10.1093/biostatistics/kxt050
– ident: e_1_2_10_15_1
  doi: 10.1016/j.cmpb.2016.03.008
– ident: e_1_2_10_39_1
  doi: 10.1111/biom.13200
– ident: e_1_2_10_21_1
  doi: 10.1002/sim.8008
– ident: e_1_2_10_36_1
  doi: 10.1007/s10985-017-9391-6
– ident: e_1_2_10_2_1
  doi: 10.1200/JCO.2015.64.2488
– ident: e_1_2_10_23_1
  doi: 10.1161/CIRCOUTCOMES.119.005918
– ident: e_1_2_10_13_1
  doi: 10.1111/biom.13237
– ident: e_1_2_10_26_1
  doi: 10.1002/sim.5705
– volume: 5
  start-page: 141
  issue: 3
  year: 1978
  ident: e_1_2_10_40_1
  article-title: An empirical transition matrix for non‐homogeneous Markov chains based on censored observations
  publication-title: Scand J Stat
– ident: e_1_2_10_44_1
  doi: 10.1093/biomet/80.4.807
– ident: e_1_2_10_38_1
  doi: 10.1161/JAHA.119.013011
– ident: e_1_2_10_25_1
  doi: 10.1093/aje/kwn164
– ident: e_1_2_10_20_1
  doi: 10.1002/sim.5815
– ident: e_1_2_10_27_1
  doi: 10.1016/j.jclinepi.2012.09.017
– ident: e_1_2_10_24_1
  doi: 10.1136/bmj.m2724
– ident: e_1_2_10_29_1
  doi: 10.1007/s10985-013-9242-z
– volume: 017
  year: 2020
  ident: e_1_2_10_33_1
  article-title: Direct modeling of the crude probability of cancer death and the number of life years lost due to cancer without the need of cause of death: a pseudo‐observation approach in the relative survival setting
  publication-title: Biostatistics
– ident: e_1_2_10_32_1
  doi: 10.1186/s12874-018-0484-z
– ident: e_1_2_10_3_1
  doi: 10.1093/annonc/mdy462
– ident: e_1_2_10_4_1
  doi: 10.1002/sim.8206
– ident: e_1_2_10_8_1
  doi: 10.1214/aos/1176350951
– ident: e_1_2_10_16_1
  doi: 10.4310/SII.2019.v12.n3.a7
– ident: e_1_2_10_10_1
  doi: 10.1023/A:1014887507027
– ident: e_1_2_10_11_1
  doi: 10.1002/sim.5903
– ident: e_1_2_10_12_1
  doi: 10.1001/jamacardio.2018.0127
– ident: e_1_2_10_17_1
  doi: 10.1093/biomet/87.2.329
– ident: e_1_2_10_18_1
  doi: 10.1111/j.0006-341X.2002.00643.x
– ident: e_1_2_10_34_1
  doi: 10.1177/0962280219842271
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Snippet Survival data with competing or semi‐competing risks are common in observational studies. As an alternative to cause‐specific and subdistribution hazard...
Survival data with competing or semi-competing risks are common in observational studies. As an alternative to cause-specific and subdistribution hazard...
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SubjectTerms competing risks
Computer Simulation
cumulative incidence
Female
Gender differences
Humans
Male
Probability
Proportional Hazards Models
restricted mean survival
restricted mean time lost
survival analysis
Title Estimation and modeling of the restricted mean time lost in the presence of competing risks
URI https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fsim.8896
https://www.ncbi.nlm.nih.gov/pubmed/33567477
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