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A Covariate-adjusted Logrank Test for Paired Survival Data

  • Jeong, Gyu-Jin (Department of Informational Statistics, Hannam University)
  • Published : 2002.08.01

Abstract

In this paper, a covariate adjusted logrank test is considered for censored paired data under the Cox proportional hazard model. The proposed score test resembles the adjusted logrank test of Tsiatis, Rosner and Tritchler (1985), which is derived from the partial likelihood. The dependence structure for paired data is accommodated into the test statistic by using' sum of square type' variance estimators. Several weight functions are also considered, which produce a class of covariate adjusted weighted logrank tests. Asymptotic normality of the proposed test is established and simulation studies with moderate sample size show the proposed test works well, particularly when there are dependence structure between treatment and covariates.

Keywords

References

  1. Biometrika v.65 A model for assocition in bivariate life tables and its application in epidemiological studies of familial endency in chronic disease incidence Clayton, D.G. https://doi.org/10.1093/biomet/65.1.141
  2. Journal of the Royal Statistical Society, B, v.34 Regression models and life tables (with discussion) Cox, D. R.
  3. Investigative Ophthalmology and visual science v.21 Diabetic retinopathy study Diabetic Retinopathy Study Group
  4. Counting Processes and Survival Analysis Fleming, T. R.;Harrington, D. P.
  5. Statistica Sinica v.5 Group sequential methods for survival data using partial score processes with covariate adjustment Gu, M.;Ying, Z.
  6. Biometrika v.83 no.4 A Generalisation of the Mantel-Haenszel test to bivariate failure time Hsu, L.;Prentice, R.L. https://doi.org/10.1093/biomet/83.4.905
  7. Biometrics v.45 Modelling paired survival data with covariates Huster, W.J.;Brookmeyer,R.;Self, S.G. https://doi.org/10.2307/2532041
  8. The Korean Communication in Statistics v.5 Application of covariance process to tests for censored paired data Jeong, G.
  9. Lifetime Data Analysis v.5 no.1 Rank tests for matched survival data Jung, S. https://doi.org/10.1023/A:1009635201363
  10. Survival Analysis: Techniques for Censored and Truncated Data Klein, J.P.;Moeschberger, M.L.
  11. Biometrika v.84 Robust covariate-adjusted logrank tests Kong, F.H.;Slud, E. https://doi.org/10.1093/biomet/84.4.847
  12. Biometrika v.70 A modified Wilcoxon rank sum test for paired data Lam, F.C.;Longnecker, M.T. https://doi.org/10.1093/biomet/70.2.510
  13. Journal of the American Statistical Association v.88 Linear regression analysis for highly stratified failure time data Lee, E.W.;Wei, L.J.;Ying, Z. https://doi.org/10.2307/2290336
  14. Biometrika v.79 Sequential log rank tests adjusting for covariates with the accelerated life model Lin, D.Y. https://doi.org/10.1093/biomet/79.3.523
  15. Journal of the American Statistical Association v.84 The robust inference for the Cox proportional hazard model Lin, D.Y.;Wei, L.J. https://doi.org/10.2307/2290085
  16. Journal of the American Statistical Association v.94 A general theory on stochastic curtailment for censored survival data Lin, D.Y.;Yao, Q.;Ying, Z. https://doi.org/10.2307/2670171
  17. Cancer Research v.37 Mantel-haenszel analysis of litter-matched time-to response data, with modifications for recovery of interlitter information Mantel, N.;Bohidar, N.R.;Ciminera, J.L.
  18. Biometrika v.54 Testing for Correlation between Non-negative Variates Moran, P.A.P.
  19. Journal of the Royal Statistical Society, v.B no.44 A model for association in bivariate survival data Oakes, D.
  20. Biometrika v.43 A paired Prentice-Wilcoxon test for censored paired data O'Brien, P.C.;Fleming, T.R.
  21. Biometrika v.78 Relative efficiency of the log rank test within a multiplicative intensity model Slud, E. https://doi.org/10.1093/biomet/78.3.621
  22. Biometrika v.72 Group sequential tests with censored survival data adjusting for covariates Tsiatis, A.A.;Rosner,G.L.;Tritchler D.L. https://doi.org/10.1093/biomet/72.2.365
  23. Journal of the American Statistical Association v.84 Regression analysis if multivariate incomplete failure time data by modelling marginal distribution Wei, L.J.;Lin, D.Y.;Weissfeld, L. https://doi.org/10.2307/2290084