Hypothesis Testing of Hazard Ratio Parameters in Marginal Models for Multivariate Failure Time Data

Lifetime Data Analysis

Volumn 5, Issue 1, 1999, Pages 39-53

  Cai, Jianwen ^a  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

Estimating equations; Likelihood ratio test; Marginal hazards; Multivariate failure times; Score test; Wald test

Indexed keywords

CHOLESTEROL;

AGE; ARTICLE; BIOLOGICAL MODEL; BLOOD PRESSURE; BODY MASS; COMPUTER SIMULATION; FEMALE; HEALTH SURVEY; HUMAN; MALE; MULTIVARIATE ANALYSIS; PROPORTIONAL HAZARDS MODEL; SMOKING; STATISTICAL MODEL; TIME;

AGE FACTORS; BLOOD PRESSURE; BODY MASS INDEX; CHOLESTEROL; COMPUTER SIMULATION; FEMALE; HEALTH SURVEYS; HUMANS; LIKELIHOOD FUNCTIONS; MALE; MODELS, BIOLOGICAL; MULTIVARIATE ANALYSIS; PROPORTIONAL HAZARDS MODELS; SMOKING; TIME FACTORS;

EID: 0032611191     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009679032314     Document Type: Article

References (23)

1. P. K. Andersen and R. D. Gill, "Cox's regression model for counting processes: A large sample study," The Annals of Statistics vol. 10 pp. 1100-1120, 1982.
2. J. Cai and R. L. Prentice, "Estimating equations for hazard ratio parameters based on correlated failure time data," Biometrika vol. 82 pp. 151-164, 1995.
3. D. Clayton and J. Cuzick, "Multivariate generalizations of the proportional hazards model (with discussion)," Journal of the Royal Statistical Society A, vol. 148 pp. 82-117, 1985.
4. D. R. Cox, "Regression models and life-tables," Journal of the Royal Statistical Society B, vol. 34 pp. 187-202, 1972.
5. D. R. Cox, "Partial likelihood," Biometrika vol. 62 pp. 269-276, 1975.
6. D. R. Cox and D. Oakes, Analysis of Survival Data, Chapman & Hall: London, 1984.
7. K. J. Cullen, "Mass health examinations in the Busselton population, 1966 to 1970," Australia Journal of Medicine vol. 2 pp. 714-718, 1972.
8. R. V. Foutz and R. C. Srivastava, "The performance of the likelihood ratio test when the model is incorrect," Annals of Statistics vol. 5 pp. 1183-1194, 1977.
9. J. J. Hanfelt and K. Liang, "Approximate likelihood ratios for general estimating functions," Biometrika vol. 82 pp. 461-477, 1995.
10. W. J. Huster, R. Brookmeyer, and S. G. Self, "Modelling paired survival data with covariates," Biometrics vol. 45 pp. 145-156, 1989.
11. N. L. Johnson and S. Kotz, Distributions in Statistics: Continuous Univariate Distributions - 2, Wiley: New York, 1970.
12. J. D. Kalbfleisch and R. L. Prentice, The Statistical Analysis of Failure Time Data, Wiley: New York, 1980.
13. J. T. Kent, "Robust properties of likelihood ratio tests," Biometrika vol. 69 pp. 19-27, 1982.
14. M. W. Knuiman, K. J. Cullen, M. K. Bulsara, T. A. Welborn, and M. S. T. Hobbs, "Mortality trends 1965 to 1989 in Busselton, the site of repeated health surveys and interventions," Australia Journal of Public Health vol. 18 pp. 129-135, 1994.
15. E. W. Lee, L. J. Wei, and D. A. Amato, "Cox-Type Regression Analysis for Large Numbers of Small Groups of Correlated Failure Time Observations," Survival Analysis: State of the Art, J. P. Klein and P. K. Goel (eds.), Kluwer Academic Publishers, 1992, pp. 237-247.
16. K. Y. Liang, S. G. Self, and Y. Chang, "Modeling marginal hazards in multivariate failure time data," Journal of the Royal Statistical Society B, vol. 55 pp. 441-453, 1993.
17. D. Y. Lin, "Cox regression analysis of multivariate failure time data: The marginal approach," Statistics in Medicine vol. 13 pp. 2233-2247, 1994.
18. R. L. Prentice and L. Hsu, "Regression on hazard ratios and cross ratios in multivariate failure time analysis," Biometrika vol. 84 pp. 349-363, 1997.
19. J. N. K. Rao and A. J. Scott, "The analysis of categorical data from complex sample surveys: Chi-squared tests for goodness of fit and independence in two-way tables," Journal of the American Statistical Association vol. 76 pp. 221-230, 1981.
20. A. Rotnitzky and N. P. Jewell, "Hypothesis testing of regression parameters in semiparametric generalized linear models for cluster correlated data," Biometrika vol. 77 pp. 485-497, 1990.
21. S. R. Searle, Matrix Algebra Useful for Statistics, Wiley: New York, 1980.
22. Splus, Version 3.3, StatSci Division, MathSoft, Inc., Seattle, Washington, 1995.
23. L. J. Wei, D. Y. Lin, and L. Weissfeld, "Regression analysis of multivariate incomplete failure time data by modeling marginal distributions," Journal of the American Statistical Association vol. 84 pp. 1065-1073, 1989.