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2004 | 175 Application of Multivariate Statistical Analysis | 49--61
Tytuł artykułu

Analysis of Censored Life-tables with Covariates by Means of Log-linear Models

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In survival analysis the subject of observation is duration of time until some event called failure event. Often in such studies only partial information on the length of failure time is available what yields the so-called right-censored observations. The main interest in survival analysis is either to estimate the distribution of the true failure time or to identify the relationship between the true failure time and a set of some covariates. Additional troublesome point of theory and application of survival techniques is treatment of grouped observations (life-tables) along with incorporating covariates. In the paper a new approach is considered which allows to treat the censored life-table with qualitative covariates as a standard contingency table. Such a table can be further analysed by means of log-linear models or other standard multivariate inference techniques. (original abstract)
W pracy przedstawiono propozycję analizy tablicy trwania życia dla danych prawostronnie cenzurowanych. Przedstawiona metoda pozwala na sprowadzenie takiej tablicy do wielowymiarowej tablicy kontyngencyjnej, którą można analizować standardowymi technikami wielowymiarowego wnioskowania statystycznego, np. za pomocą modeli logarytmiczno-liniowych. (abstrakt oryginalny)
  • University of Lodz, Poland
  • Aalen О. О. (1978), Nonparametric Inference For a Family of Counting Processes, "The Annals of Statistics", 6, 701-726.
  • Andersen P. K., Gill R. D. (1982), Cox's Regression Model For Counting Processes: A Large Sample Study, "The Annals of Statistics", 10, 1100-1120.
  • Benjamin B. (1978), John Graunt, [in:] (eds.) W. H. Kruskal, J. M. Tanur, International Encyclopedia of Statistics, Vol. 1, Free Press, Macmillan Publishing Co., New York, 435-437.
  • Birch M. W. (1963), Maximum Likelihood in Three-Way Contingency Tables, J. Royal Stat. Soc., Ser. В, 25, 220-233.
  • Breslow N. (1974), Covariance Analysis of Censored Survival Data, "Biometrics", 30, 89-99.
  • Breslow N. (1975), Analysis of Survival Data Under the Proportional Hazards Model, Int. Stat. Rev., 43, 45-58.
  • Breslow N., Crowley J. (1973), Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship the Annals of Statistics, 2, 437-453.
  • Chiang C. L. (1968), Introduction to Stochastic Processes in Biostatistics, John Wiley, New York.
  • Cox D. R. (1972), Regression Model And Life-Tables, J. Royal Stat. Soc, Ser. В, 34, 187-220, (with discussion).
  • Fleming T. R., Lin D. Y. (2000), Survival Analysis in Clinical Trials: Past Developments and Future Directions, "Biometrics", 56, 971-983.
  • Glass D. V. (1950), Graunt's Life Table, J. Inst. Actuaries, 76, 60-64.
  • Holford Т. R. (1976), Life-Tables with Concomitant Information, "Biometrics", 32, 587-597.
  • Holford T. R. (1980), The Analysis of Rates and Survivorship Using Log-linear Models, "Biometrics", 36, 299-306.
  • Kalbfleisch J. D., Prentice R. L. (1973), Marginal Likelihoods Based on Cox's Regression and Life Model, "Biometrika", 60, 267-278.
  • Kaplan E. L., Meier P. (1958), Nonparametric Estimation From Incomplete Observations, J. Amer. Stat. Assoc., 53, 457-481.
  • Laird, N., Olivier D. (1981), Covariance Analysis of Censored Survival Data Using Log-Linear Analysis Techniques, J. Amer. Stat. Assoc., 76, 231-240.
  • Oakes D. (2001), Biometrika Centenary: Survival Analysis, "Biometrika", 88, 99-142.
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