title: A weighted zero-inflated Poisson model for estimation of recurrence of adenomas.
abstract: In this article, a weighted zero-inflated Poisson (W-ZIP) approach to modelling colorectal adenoma data is used in which the number of recurrent adenomas is subject to measurement error and some participants might have their follow-up colonoscopy conducted before the end of trial. The weights are used to adjust for varying follow-up and obtained from a nonparametric survival function derived from the lengths of follow-up. It is shown that logistic regression (LR) and survival analysis tend to underestimate recurrence rate due to measurement error on the status of recurrence. A simulation study shows that the W-ZIP model is robust to the assumption of the underlying distribution of time-to-recurrence and is less affected by misclassification at follow-up colonoscopy when compared with LR and survival analysis approaches. The method described here is illustrated with an example from a colon cancer study.
authors.affiliation: Mel and Enid Zuckerman College of Public Health and Arizona Cancer Center, University of Arizona, Tucson 85724-5024, USA. phsu@azcc.arizona.edu
authors.forename: Chiu-Hsieh
authors.initials: CH
authors.lastname: Hsu
mesh_terms: D000236:Adenoma / Q000503:physiopathology*; D015179:Colorectal Neoplasms; D003627:Data Interpretation, Statistical; D005544:Forecasting; D006801:Humans; D016015:Logistic Models; D009364:Neoplasm Recurrence, Local; D016012:Poisson Distribution; D012008:Recurrence; D014481:United States