title: Estimation and residual analysis with R for a linear regression model with an interval-censored covariate.
abstract: Interval-censored covariates are sometimes encountered in longitudinal studies and considered as possible predictors in a regression model. This paper, motivated by an AIDS study, proposes an implementation in R for the estimation of parameters and the assessment of the assumptions of a linear regression model with an interval-censored covariate. The properties of the parameters estimators and the behavior of three proposed residuals are addressed through two simulation studies. Also, guidelines are provided to check the goodness-of-fit of the fitted model in terms of the length of the censoring interval of the covariate. The methodology is illustrated with real data coming from the AIDS study. R functions and scripts are provided.
authors.affiliation: Departament d'Estadística i Investigació Operativa, Universitat Politècnica de Catalunya/BARCELONATECH, C/Jordi Girona, 1-3, 08034, Barcelona, Spain.
authors.forename: Klaus
authors.initials: K
authors.lastname: Langohr
authors.affiliation: Departament d'Estadística i Investigació Operativa, Universitat Politècnica de Catalunya/BARCELONATECH, C/Jordi Girona, 1-3, 08034, Barcelona, Spain.
authors.forename: Guadalupe Gómez
authors.initials: GG
authors.lastname: Melis
mesh_terms: D000163:Acquired Immunodeficiency Syndrome / Q000453:epidemiology; D003198:Computer Simulation; D006801:Humans; D016014:Linear Models; D008137:Longitudinal Studies; D012044:Regression Analysis; D012984:Software
keywords: Interval censoring; Linear regression model; Residual analysis