Marginal regression analysis of recurrent events with coarsened censoring times

• Published in: Biometrics Vol. 72; no. 4; pp. 1113 - 1122
• Main Authors: Hu, X. Joan, Rosychuk, Rhonda J.
• Format: Journal Article
• Language: English
• Published: United States Blackwell Publishing Ltd 01.12.2016; Wiley-Blackwell
• Subjects: Administrative records; BIOMETRIC METHODOLOGY; biometry; Biometry - methods; Censorship; Child; Child & adolescent psychiatry; Computer Simulation; Doubly censored data; Emergency Service, Hospital - utilization; Event rate/mean function; health services; Humans; Local linear estimation; Mental Health; Normality; Office Visits - utilization; Pediatrics; Psychiatric Rehabilitation; Recurrence; Regression Analysis; Statistical analysis; Survival Analysis; Time-varying regression coefficient; Windows (intervals); Administrative records; Time-varying regression coefficient; Event rate/mean function; Local linear estimation; Doubly censored data
• ISSN: 0006-341X; 1541-0420; 1541-0420
• DOI: 10.1111/biom.12503

Motivated by an ongoing pédiatrie mental health care (PMHC) study, this article presents weakly structured methods for analyzing doubly censored recurrent event data where only coarsened information on censoring is available. The study extracted administrative records of emergency department visits from provincial health administrative databases. The available information of each individual subject is limited to a subject-specific time window determined up to concealed data. To evaluate time-dependent effect of exposures, we adapt the local linear estimation with right censored survival times under the Cox regression model with time-varying coefficients (cf. Cai and Sun, Scandinavian Journal of Statistics 2003, 30, 93111). We establish the pointwise consistency and asymptotic normality of the regression parameter estimator, and examine its performance by simulation. The PMHC study illustrates the proposed approach throughout the article.