Inference for a linear regression model with an interval-censored covariate.
Interval-censored observations of a response variable are a common occurrence in medical studies, and usually result when the response is the elapsed time until some event whose occurrence is periodically monitored. In this paper we consider a multivariate regression setting in which the explanatory variable is interval censored. Use of an ad hoc method of analysis for such data, such as taking the midpoint of the interval-censored covariate and applying ordinary least-squares, is not in general valid. We develop a likelihood approach, together with a two-step conditional algorithm, to jointly estimate the regression coefficients as well as the marginal distribution of the covariate. The resulting estimators are asymptotically normal. The performance of the method is assessed via simulations, and illustrated using data from a recent HIV/AIDS clinical trial to assess the association between waiting time between indinavir failure and subsequent viral load at enrolment. Extensions of the procedure to other parametric distributions are discussed.
Gómez
Guadalupe
G
Departament d'Estadística i I.O., Universitat Politècnica de Catalunya, Pau Gargallo, 5, 08028 Barcelona, Spain. lupe.gomez@upc.es
Espinal
Anna
A
W  Lagakos
Stephen
S
D000328:Adult; D003198:Computer Simulation; D006678:HIV / Q000254:growth & development / Q000378:metabolism; D015658:HIV Infections / Q000188:drug therapy / Q000821:virology; D017320:HIV Protease Inhibitors / Q000627:therapeutic use; D006801:Humans; D019469:Indinavir / Q000627:therapeutic use; D016013:Likelihood Functions; D016014:Linear Models; D008875:Middle Aged; D015999:Multivariate Analysis; D012008:Recurrence; D013223:Statistics as Topic / Q000379:methods*; D019562:Viral Load
D017320:HIV Protease Inhibitors; D019469:Indinavir