Goodness-of-Fit Testing for a Regression Model With a Doubly Truncated Response.

ABSTRACT: In survival analysis and epidemiology, among other fields, interval sampling is often employed. With interval sampling, the individuals undergoing the event of interest within a calendar time interval are recruited. This results in doubly truncated event times. Double truncation, which may appear with other sampling designs too, induces a selection bias, so ordinary statistical methods are generally inconsistent. In this paper, we introduce goodness-of-fit procedures for a regression model when the response variable is doubly truncated. With this purpose, a marked empirical process based on weighted residuals is constructed and its weak convergence is established. Kolmogorov-Smirnov- and Cramér-von Mises-type tests are consequently derived from such core process, and a bootstrap approximat

SUBMITTER: de Una-Alvarez J 

PROVIDER: S-EPMC11650116 | biostudies-literature | 2025 Feb

REPOSITORIES: biostudies-literature