Back to Search
Start Over
Threshold regression to accommodate a censored covariate
- Source :
- Biometrics. 74:1261-1270
- Publication Year :
- 2018
- Publisher :
- Wiley, 2018.
-
Abstract
- In several common study designs, regression modeling is complicated by the presence of censored covariates. Examples of such covariates include maternal age of onset of dementia that may be right censored in an Alzheimer's amyloid imaging study of healthy subjects, metabolite measurements that are subject to limit of detection censoring in a case-control study of cardiovascular disease, and progressive biomarkers whose baseline values are of interest, but are measured post-baseline in longitudinal neuropsychological studies of Alzheimer's disease. We propose threshold regression approaches for linear regression models with a covariate that is subject to random censoring. Threshold regression methods allow for immediate testing of the significance of the effect of a censored covariate. In addition, they provide for unbiased estimation of the regression coefficient of the censored covariate. We derive the asymptotic properties of the resulting estimators under mild regularity conditions. Simulations demonstrate that the proposed estimators have good finite-sample performance, and often offer improved efficiency over existing methods. We also derive a principled method for selection of the threshold. We illustrate the approach in application to an Alzheimer's disease study that investigated brain amyloid levels in older individuals, as measured through positron emission tomography scans, as a function of maternal age of dementia onset, with adjustment for other covariates. We have developed an R package, censCov, for implementation of our method, available at CRAN.
- Subjects :
- Statistics and Probability
Biometry
Mothers
01 natural sciences
Article
General Biochemistry, Genetics and Molecular Biology
010104 statistics & probability
03 medical and health sciences
0302 clinical medicine
Alzheimer Disease
Linear regression
Statistics
Covariate
Humans
Computer Simulation
Age of Onset
0101 mathematics
Kaplan–Meier estimator
Aged
Mathematics
General Immunology and Microbiology
Proportional hazards model
Applied Mathematics
Estimator
Regression analysis
General Medicine
Censoring (statistics)
Regression
Linear Models
Maternal Inheritance
General Agricultural and Biological Sciences
Software
030217 neurology & neurosurgery
Subjects
Details
- ISSN :
- 15410420 and 0006341X
- Volume :
- 74
- Database :
- OpenAIRE
- Journal :
- Biometrics
- Accession number :
- edsair.doi.dedup.....c9ee70673a781eec17c34f28989c8023