Marginal regression analysis of recurrent events with coarsened censoring times

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...

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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
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ISSN	0006-341X 1541-0420 1541-0420
DOI	10.1111/biom.12503

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Abstract	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.
AbstractList	Summary Motivated by an ongoing pediatric 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, 93-111). 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. Motivated by an ongoing pediatric 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, 93-111). 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.Motivated by an ongoing pediatric 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, 93-111). 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. Motivated by an ongoing pediatric 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, 93-111). 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. Summary Motivated by an ongoing pediatric 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, 93–111). 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. 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.
Author	Rosychuk, Rhonda J. Hu, X. Joan
Author_xml	– sequence: 1 givenname: X. Joan surname: Hu fullname: Hu, X. Joan email: joanh@stat.sfu.ca, joanh@stat.sfu.carhonda.rosychuk@ualberta.ca organization: Department of Statistics and Actuarial Science, Simon Fraser University, Burnaby, British Columbia, Canada – sequence: 2 givenname: Rhonda J. surname: Rosychuk fullname: Rosychuk, Rhonda J. email: rhonda.rosychuk@ualberta.ca, joanh@stat.sfu.carhonda.rosychuk@ualberta.ca organization: Department of Pediatrics, University of Alberta, Edmonton, Alberta, Canada
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Keywords	Administrative records Time-varying regression coefficient Event rate/mean function Local linear estimation Doubly censored data
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References_xml	– reference: Zucker, D. and Karr, A. (1990). Nonparametric survival analysis with time dependent covariate effects: a penalized partial likelihood approach. The Annals of Statistics 18, 329-353. – reference: Lawless, J. F. and Nadeau, C. (1995). Some simple robust methods for the analysis of recurrent events. Technometrics 37, 158-168. – reference: Andersen, P. K. and Gill, R. D. (1982). Cox's regression model for counting processes: A large sample study. The Annals of Statistics 10, 1100-1120. – reference: Cai, T. and Cheng, S. (2004). Semiparametric regression analysis for doubly censored data. Biometrika 91, 277-290. – reference: Hu, X. J., Sun, J. and Wei, L. J. (2003). Regression analysis of panel count data. Scandinavian Journal of Statistics 25, 25-43. – reference: Wang, J. (2011). Estimation of lifetime distribution with missing censoring. Journal of Data Science 9, 331-343. – reference: Cox, D. R. (1972). Regression models and life tables (with discussion). Journal of the Royal Statistical Society, Series B 34, 187-220. – reference: Halamandaris, P. V. and Anderson, T. R. (1999). Children and adolescents in the psychiatric emergency setting. The Psychiatric Clinics of North America 22, 866-875. – reference: Schaubel, D. E. and Zhang, M. (2010). Estimating treatment effects on the marginal recurrent event mean in the presence of a terminating event. Lifetime Data Analysis 16, 451-477. – reference: Kim, M. Y., De Gruttola, V. G. and Lagakos, S. W. (1993). Analyzing doubly censored data with covariates, with application to AIDS. Biometrics 49, 13-22. – reference: Bilias, Y., Gu, M., and Ying, Z. (1997). Towards a general asymptotic theory for Cox model with staggered entry. The Annals of Statistics 25, 662-682. – reference: Gomez, G. and Lagakos, S. W. (1994). Estimation of the infection time and latency distribution of AIDS with doubly censored data. Biometrics 50, 204-212. – reference: Wei, G. C. G. and Tanner, M. A. (1990). 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Snippet	Motivated by an ongoing pédiatrie mental health care (PMHC) study, this article presents weakly structured methods for analyzing doubly censored recurrent... Summary Motivated by an ongoing pediatric mental health care (PMHC) study, this article presents weakly structured methods for analyzing doubly censored... Motivated by an ongoing pediatric mental health care (PMHC) study, this article presents weakly structured methods for analyzing doubly censored recurrent... Summary Motivated by an ongoing pediatric mental health care (PMHC) study, this article presents weakly structured methods for analyzing doubly censored...
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SubjectTerms	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)
Title	Marginal regression analysis of recurrent events with coarsened censoring times
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