Advanced SearchSearch Tips
A Test Procedure for Right Censored Data under the Additive Model
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
A Test Procedure for Right Censored Data under the Additive Model
Park, Hyo-Il; Hong, Seung-Man;
  PDF(new window)
In this research, we propose a nonparametric test procedure for the right censored and grouped data under the additive hazards model. For deriving the test statistics, we use the likelihood principle. Then we illustrate proposed test with an example and compare the performance with other procedure by obtaining empirical powers. Finally we discuss some interesting features concerning the proposed test.
Additive hazards model;grouped data;log-rank test;score function;
 Cited by
A Comparison Study of the Test for Right Censored and Grouped Data, Communications for Statistical Applications and Methods, 2015, 22, 4, 313  crossref(new windwow)
Aalen, O. O. (1980). A model for non-parametric regression analysis of counting processes, Springer Lecture Notes Statistics, 2, 1-25

Aalen, O. O. (1989). A linear regression model for the analysis of life times, Statistics in Medicine, 8, 907-925 crossref(new window)

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 crossref(new window)

Billingsley, P. (1986). Probability and Measure, 2nd Edition, John Wiley & Sons, New York

Cox, D. R. (1972). Regression models and life-tables, Journal of the Royal Statistical Society, Series B, 34, 189-220

Efron, B. (1981). Censored data and the bootstrap, Journal of the American Statistical Association, 76, 312-319 crossref(new window)

Efron, B. and Tibshirani, R. J. (1993). An Introduction to the Bootstrap, Chapman & Hall/CRC, New York

Embury, S. H., Elias, L., Heller, P. H., Hood. C. E., Greenberg, P. L. and Schrier, S. L. (1977). Remission maintenance therapy in acute myelogenous leukemia, Western Journal of Medicine, 126, 267-272

Fleming, T. R. and Harrington, D. P. (1991). Counting Processes and Survival Analysis, John Wiley & Sons, New York

Good, P. (2000). Permutation Tests-A Practical Guide to Resampling Methods for Testing Hypothesis, 2nd Edition, Springer, New York

Heitjan, D. F. (1989). Inference from grouped continuous data, Statistical Sciences, 4, 164-183 crossref(new window)

Huffer, F. W. and McKeague, I. W. (1991). Weighted least squares estimation for Aalen’s additive risk model, Journal of the American Statistical Association, 86, 114-129 crossref(new window)

Jones, M. P. and Crowley, J. (1990). Asymptotic properties of a general class of nonparametric tests for survival analysis, The Annals of Statistics, 18, 1203-1220 crossref(new window)

Kalbfleisch, J. D. and Prentice, R. L. (1980). The Statistical Analysis of Failure Time Data, John Wiley & Sons, New York

Lin, D. Y. and Ying, Z. (1994). Semiparametric analysis of the additive risk model, Biometrika, 81, 61-71 crossref(new window)

McKeague, I. W. (1988). A counting process approach to the regression analysis of grouped survival data, Stochastic Processes and their Applications, 28, 221-239 crossref(new window)

McKeague, I. W. and Sasieni, P. D. (1994). A partly parametric additive risk model, Biometrika, 81, 501-514 crossref(new window)

Neuhaus, G. (1993). Conditional rank tests for the two-sample problem under random censorship, The Annals of Statistics, 21, 1760-1779 crossref(new window)

Park, H. I. (1993). Nonparametric rank-order tests for the right censored and grouped data in linear model, Communications in statistics-Theory and Methods, 22, 3143-3158 crossref(new window)

Prentice, R. L. and Gloeckler, L. A. (1978). Regression analysis of grouped survival data with appli-cation to breast cancer data, Biometrics, 34, 57-67 crossref(new window)

Randles, R. H. and Wolfe, D. A. (1979). Introduction to the Theory of Nonparametric Statistics, Wiley, New York

Reid, N. (1981). Estimating the median survival time, Biometrika, 68, 601-608 crossref(new window)

Scheike, T. H. (2002). The additive nonparametric and semiparametric Aalen model as the rate func-tion for a counting process, Lifetime Data Analysis, 8, 247-262 crossref(new window)

Wei, L. J. and Lachin, J. M. (1984). Two-sample asymptotically distribution-free tests for incomplete multivariate observations, Journal of the American Statistical Association, 79, 653-661 crossref(new window)

Yin, G. and Cai, J. (2004). Additive hazards model with multivariate failure time data, Biometrika, 91, 801-818 crossref(new window)