DOI QR코드

DOI QR Code

Analyzing Clustered and Interval-Censored Data based on the Semiparametric Frailty Model

  • Kim, Jin-Heum (Department of Applied Statistics, University of Suwon) ;
  • Kim, Youn-Nam (Clinical Trials Center Severance Hospital, Yonsei University Health System)
  • Received : 2012.08.01
  • Accepted : 2012.09.25
  • Published : 2012.10.31

Abstract

We propose a semi-parametric model to analyze clustered and interval-censored data; in addition, we plugged-in a gamma frailty to the model to measure the association of members within the same cluster. We propose an estimation procedure based on EM algorithm. Simulation results showed that our estimation procedure may result in unbiased estimates. The standard error is smaller than expected and provides conservative results to estimate the coverage rate; however, this trend gradually disappeared as the number of members in the same cluster increased. In addition, our proposed method was illustrated with data taken from diabetic retinopathy studies to evaluate the effectiveness of laser photocoagulation in delaying or preventing the onset of blindness in individuals with diabetic retinopathy.

Keywords

References

  1. Aalen, O. O., Borgan, O. and Gjessing, H. K. (2008). Survival and Event History Analysis, Springer, New York.
  2. Ampe, B., Goethals, K., Laevens, H. and Duchateau, L. (2012). Investigating clustering in interval-censored udder quarter infection times in dairy cows using a gamma frailty model, Preventive Veterinary Medicine, in press.
  3. Bellamy, S., Li, Y., Ryan, L. M., Lipsitz, S., Canner, M. and Wright, R. (2004). Analysis of clustered and interval censored data from a community-based study in asthma, Statistics in Medicine, 23, 3607-3621. https://doi.org/10.1002/sim.1918
  4. Cai, J. and Prentice, R. L. (1995). Estimating equations for hazard ratio parameters based on correlated failure time data, Biometrics, 82, 151-164. https://doi.org/10.1093/biomet/82.1.151
  5. Duchateau, L. and Janssen, P. (2008). The Frailty Model, Springer, New York.
  6. Goethals, K., Ample, B., Berkvens, D., Laevens, H., Janssen, P. and Duchateau, L. (2009). Modelling intervalcensored, clustered cow udder quarter infection times through the shared gamma frailty model, Journal of Agricultural, Biological, and Environmental Statistics, 14, 1-14. https://doi.org/10.1198/jabes.2009.0001
  7. Goggins, W. B. and Finkelstein, D. M. (2000). A proportional hazards model for multivariate interval-censored failure time data, Biometrics, 56, 940-943. https://doi.org/10.1111/j.0006-341X.2000.00940.x
  8. Kalbfleisch, J. D. and Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data, Second Ed., John Wiley, New York.
  9. Kim, M. Y. and Xu, X. (2002). The analysis of multivariate interval-censored survival data, Statistics in Medicine, 21, 3715-3726. https://doi.org/10.1002/sim.1265
  10. Lam, K. F., Xu, Y. and Cheung, T.-L. (2010). A multiple imputation approach for clustered interval-censored survival data, Statistics in Medicine, 29, 680-693.
  11. Lindsey, J. C. and Ryan, L. M. (1998). Tutorial in biostatistics: Methods for interval-censored data, Statistics in Medicine, 17, 219-238. https://doi.org/10.1002/(SICI)1097-0258(19980130)17:2<219::AID-SIM735>3.0.CO;2-O
  12. Ross, E. A. and Moore, D. (1999). Modeling clustered, discrete, or grouped time survival data with covariates, Biometrics, 55, 813-819. https://doi.org/10.1111/j.0006-341X.1999.00813.x
  13. Sun, J. (2006). The Statistical Analysis of Interval-censored Failure Time Data, Springer, New York.

Cited by

  1. Frailty model approach for the clustered interval-censored data with informative censoring vol.45, pp.1, 2016, https://doi.org/10.1016/j.jkss.2015.09.002