A nonparametric test for current status data with unequal censoring

Nonparametric tests for the comparison of different treatments based on current status data are proposed. For this problem, most methods proposed in the literature require that observation times on all subjects follow the same distribution. In other words, censoring distributions are identical between the treatment groups. In this paper, we focus on the situation where the censoring distributions may be different for subjects in different treatment groups and the test that can take this unequal censoring into account is given. The asymptotic distribution of the test proposed is derived. The method proposed is applied to data arising from a tumorigenicity experiment.

[1]  J. Peto,et al.  Asymptotically Efficient Rank Invariant Test Procedures , 1972 .

[2]  N. Breslow Covariance analysis of censored survival data. , 1974, Biometrics.

[3]  David R. Cox,et al.  Regression models and life tables (with discussion , 1972 .

[4]  N P Jewell,et al.  Generalizations of current status data with applications. , 1995, Lifetime data analysis.

[5]  G. Dinse,et al.  A comparison of tumour incidence analyses applicable in single-sacrifice animal experiments. , 1994, Statistics in medicine.

[6]  T. Louis,et al.  Use of Tumour Lethality to Interpret Tumorigenicity Experiments Lacking Cause‐Of‐Death Data , 1988 .

[7]  L. J. Wei,et al.  Nonparametric methods for analyzing incomplete nondecreasing repeated measurements. , 1988, Biometrics.

[8]  J. Kalbfleisch,et al.  The Statistical Analysis of Failure Time Data , 1980 .

[9]  D G Hoel,et al.  Statistical analysis of survival experiments. , 1972, Journal of the National Cancer Institute.

[10]  J D Kalbfleisch,et al.  Nonparametric methods for survival/sacrifice experiments. , 1986, Biometrics.

[11]  Jian Huang,et al.  Efficient estimation for the proportional hazards model with interval censoring , 1996 .

[12]  P K Andersen,et al.  A nonparametric test for comparing two samples where all observations are either left- or right-censored. , 1995, Biometrics.

[13]  Nonparametric tests of tumor prevalence data. , 1996, Biometrics.

[14]  John D. Kalbfleisch,et al.  The Analysis of Current Status Data on Point Processes , 1993 .

[15]  Niels Keiding,et al.  Age‐Specific Incidence and Prevalence: A Statistical Perspective , 1991 .

[16]  D. Harrington,et al.  Counting Processes and Survival Analysis , 1991 .

[17]  A. J. Rossini,et al.  A Semiparametric Proportional Odds Regression Model for the Analysis of Current Status Data , 1996 .