TY - JOUR
T1 - Prevalent cohort studies and unobserved heterogeneity
AU - Keiding, Niels
AU - Albertsen, Katrine Lykke
AU - Rytgaard, Helene Charlotte
AU - Sørensen, Anne Lyngholm
PY - 2019/10/1
Y1 - 2019/10/1
N2 - Consider lifetimes originating at a series of calendar times t1, t2, …. At a certain time t a cross-sectional sample is taken, generating a sample of current durations (backward recurrence times) of survivors until t and a prevalent cohort study consisting of survival times left-truncated at the current durations. A Lexis diagram is helpful in visualizing this situation. Survival analysis based on current durations and prevalent cohort studies is now well-established as long as all covariates are observed. The general problems with unobserved covariates have been well understood for ordinary prospective follow-up studies, with the good help of hazard rate models incorporating frailties: as for ordinary regression models, the added noise generates attenuation in the regression parameter estimates. For prevalent cohort studies this attenuation remains, but in addition one needs to take account of the differential selection of the survivors from initiation ti to cross-sectional sampling at t. This paper intends to survey the recent development of these matters and the consequences for routine use of hazard rate models or accelerated failure time models in the many cases where unobserved heterogeneity may be an issue. The study was inspired by concrete problems in the study of time-to-pregnancy, and we present various simulation results inspired by this particular application.
AB - Consider lifetimes originating at a series of calendar times t1, t2, …. At a certain time t a cross-sectional sample is taken, generating a sample of current durations (backward recurrence times) of survivors until t and a prevalent cohort study consisting of survival times left-truncated at the current durations. A Lexis diagram is helpful in visualizing this situation. Survival analysis based on current durations and prevalent cohort studies is now well-established as long as all covariates are observed. The general problems with unobserved covariates have been well understood for ordinary prospective follow-up studies, with the good help of hazard rate models incorporating frailties: as for ordinary regression models, the added noise generates attenuation in the regression parameter estimates. For prevalent cohort studies this attenuation remains, but in addition one needs to take account of the differential selection of the survivors from initiation ti to cross-sectional sampling at t. This paper intends to survey the recent development of these matters and the consequences for routine use of hazard rate models or accelerated failure time models in the many cases where unobserved heterogeneity may be an issue. The study was inspired by concrete problems in the study of time-to-pregnancy, and we present various simulation results inspired by this particular application.
U2 - 10.1007/s10985-019-09479-9
DO - 10.1007/s10985-019-09479-9
M3 - Journal article
C2 - 31270651
SN - 1380-7870
VL - 25
SP - 712
EP - 738
JO - Lifetime Data Analysis
JF - Lifetime Data Analysis
IS - 4
ER -