Confidence intervals for the difference between two median survival times for clustered survival data

References

• R. Brookmeyer and J. Crowley, A confidence interval for the median survival time, Biometrics 3 (1982), pp. 29–41.
   Web of Science ®Google Scholar
• D. Burr and H. Doss, Confidence bands for the median survival time as a function of the covariates in the Cox model, J. Am. Stat. Assoc. 88 (1993), pp. 1330–1340.
   Web of Science ®Google Scholar
• Y.I. Chen and Y.M. Chang, Covariates-dependent confidence intervals for the difference or ratio of two median survival times, Stat. Med. 26 (2007), pp. 2203–2213.
   PubMed Web of Science ®Google Scholar
• Y.I. Chen, Y.M. Chang, and J.Y. Lee, Confidence bands for the difference between two median survival times as a function of covariates, Lifetime Data Anal. 21 (2015), pp. 97–118.
   PubMed Web of Science ®Google Scholar
• D.R. Cox, Regression models and life tables (with discussion), J. R. Stat. Soc. Ser. B. 34 (1972), pp. 187–220.
   Web of Science ®Google Scholar
• D.M. Dabrowska and K.A. Doksum, Estimates and confidence intervals for median and mean life in the proportional hazard model, Biometrika. 74 (1987), pp. 799–807.
   Web of Science ®Google Scholar
• L. Duchateau and P. Janssen, The Frailty Model, Springer, New York, 2008.
   Google Scholar
• J.R. Gonzalez, E.A. Peña, and P. Delicado, Confidence intervals for median survival time with recurrent event data, Comput. Stat. Data Anal. 54 (2010), pp. 78–89.
   Web of Science ®Google Scholar
• C. Huber-Carol and F. Vonta, Frailty models for arbitrarily censored and truncated data, Lifetime Data Anal. 10 (2004), pp. 369–388.
   PubMed Web of Science ®Google Scholar
• J.H. Jeong and S.H. Jung, Rank tests for clustered survival data when dependent subunits are randomized, Stat. Med. 25 (2006), pp. 361–373.
   PubMed Web of Science ®Google Scholar
• S.H. Jung, Rank tests for matched survival data, Lifetime Data Anal. 5 (1999), pp. 67–79.
   PubMed Web of Science ®Google Scholar
• S.H. Jung and J.H. Jeong, Rank tests for clustered survival data, Lifetime Data Anal. 9 (2003), pp. 21–33.
   PubMed Web of Science ®Google Scholar
• S.H. Jung and J.Q. Su, Non-parametric estimation for the difference or ratio of median failure times for paired observations, Stat. Med. 14 (1995), pp. 275–281.
   PubMed Web of Science ®Google Scholar
• J. Kim, Confidence intervals for the difference of median survival times using the stratified Cox proportional hazards model, Biom. J. 43 (2001), pp. 781–790.
   Web of Science ®Google Scholar
• J.P. Klein, Semiparametric estimation of random effects using the Cox model based on the EM algorithm, Biometrics. 48 (1992), pp. 795–806.
   PubMed Web of Science ®Google Scholar
• D. Lin, Cox regression analysis of multivariate failure time data: The marginal approach, Stat. Med. 13 (1994), pp. 2233–2247.
   PubMed Web of Science ®Google Scholar
• G.G. Nielsen, R.D. Gill, P.K. Andersen, and T.I. Sørensen, A counting process approach to maximum likelihood estimation in frailty models, Scand. J. Stat. 19 (1992), pp. 25–43.
   Web of Science ®Google Scholar
• N. Reid, Estimating the median survival time, Biometrika. 68 (1981), pp. 601–608.
   Web of Science ®Google Scholar
• V. Rondeau, D. Commenges, and P. Joly, Maximum penalized likelihood estimation in a gamma-frailty model, Lifetime Data Anal. 9 (2003), pp. 139–153.
   PubMed Web of Science ®Google Scholar
• J.Q. Su and L. Wei, Nonparametric estimation for the difference or ratio of median failure times, Biometrics. 49 (1993), pp. 603–607.
   PubMed Web of Science ®Google Scholar
• T.M. Therneau and P.M. Grambush, Modeling Survival Data: Extending the Cox Model, Springer, New York, 2000.
   Google Scholar
• T.M. Therneau, P.M. Grambush, and V.S. Pankratz, Penalized survival models and frailty, J. Comput. Graph. Stat. 12 (2003), pp. 156–175.
   Web of Science ®Google Scholar
• J.W. Vaupel, K.G. Manton, and E. Stallard, The impact of heterogeneity in individual frailty on the dynamics of mortality, Demography. 16 (1979), pp. 439–454.
   PubMed Web of Science ®Google Scholar
• J.L. Wang and T.P. Hettmansperger, Two-sample inference for median survival times based on one-sample procedures for censored survival data, J. Am. Statist. Assoc. 85 (1990), pp. 529–536.
   Web of Science ®Google Scholar
• D.M. Zucker, Restricted mean life with covariates: Modification and extension of a useful survival analysis method, J. Am. Statist. Assoc. 93 (1998), pp. 702–709.
   Web of Science ®Google Scholar