Generalised linear models for correlated pseudo-observations, with applications to multi-state models

Biometrika

Volumn 90, Issue 1, 2003, Pages 15-27

  Andersen, Per Kragh ^a   Klein, John P ^b   Rosthøj, Susanne ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b MEDICAL COLLEGE OF WISCONSIN   (United States)

Author keywords

Generalised estimating equation; Generalised linear model; Jackknife pseudo value; Logistic regression; Markov model; Multi state model

Indexed keywords

EID: 3843116423     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/90.1.15     Document Type: Article

References (19)

1. AALEN, O. O. & JOHANSEN, S. (1978). An empirical transition matrix for nonhomogeneous Markov chains based on censored observations. Scand. J. Statist. 5, 141-50.
2. ANDERSEN, P. K., BORGAN, Ø., GILL, R. D. & KEIDING, N. (1993). Statistical Models Based on Counting Processes, New York: Springer.
3. ANDERSEN, P. K., HANSEN, L. S. & KEIDING, N. (1991). Assessing the influence of reversible disease indicators on survival. Statist. Med. 10, 1061-7.
4. Cox, D. R. (1972). Regression models and life tables (with Discussion). J. R. Statist. Soc. B 34, 187-220.
5. DIGGLE, P. J., LIANG, K.-Y. & ZEGER, S. L. (1994). Analysis of Longitudinal Data. Oxford: Clarendon Press.
6. EFRON, B. & TIBSHIRANI, R. J. (1993). An Introduction to the Bootstrap. London: Chapman and Hall.
7. GLIDDEN, D. V. (2002). Robust inference for event probabilities with non-Markov event data. Biometrics 58, 361-8.
8. HASTIE, T. J. & TIBSHIRANI, R. J. (1999). Generalized Additive Models. London: Chapman and Hall/CRC.
9. HINKLEY, D. V. (1983). Jackknife methods. In Encyclopedia of Statistical Sciences, 4, Ed. S. Kotz, N. L. Johnson and C. B. Read, pp. 280-7. New York: John Wiley and Sons.
10. KEIDING, N., KLEIN, J. P. & HOROWITZ, M. M. (2001). Multistate models and outcome prediction in bone marrow transplantation. Statist. Med. 20, 1871-85.
11. KLEIN, J. P., KEIDING, N. & COPELAN, E. A. (1993). Plotting summary predictions in multistate survival models: Probabilities of relapse and death in remission for bone marrow transplantation patients. Statist. Med. 12, 2315-32.
12. KLEIN, J. P., KEIDING, N., SHU, Y., SZYDLO, R. M. & GOLDMAN, J. M. (2000). Summary curves for patients transplanted for chronic myeloid leukaemia salvaged by a donor lymphocyte infusion: The current leukaemia free survival curve. Br. J. Haematol. 109, 148-52.
13. LIANG, K.-Y. & ZEGER, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika 78, 13-22.
14. McCULLAGH, P. & NELDER, J. A. (1989). Generalized Linear Models, 2nd ed. London: Chapman and Hall.
15. MILLER, R. G. (1974). The jackknife - a review. Biometrika 61, 1-15.
16. PEPE, M. S. (1991). Inference for events with dependent risks in multiple end point studies. J. Am. Statist. Assoc. 86, 770-8.
17. PEPE, M. S., LONGTON, G. & THORNQUIST, M. (1991). A qualifier Q for the survival function to describe the prevalence of a transient condition. Statist. Med. 10, 413-21.
18. TUKEY, J. W. (1958). Bias and confidence in not-quite large samples (abstract). Ann. Math. Statist. 29, 614.
19. ZEGER, S. L. & LIANG, K.-Y. (1986). Longitudinal data analysis for discrete and continuous outcomes. Biometrics 42, 121-30.