Comparison of two smoothing methods for exploring waning vaccine effects

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 48, Issue 3, 1999, Pages 395-407

  Durham, L Kathryn ^a   Halloran, M Elizabeth ^b   Longini Jr , Ira M ^b   Manatunga, Amita K ^b  

^a PFIZER INC   (United States)

^b EMORY UNIVERSITY   (United States)

Author keywords

Smoothing; Survival analysis; Time dependent relative risk; Vaccine efficancy

Indexed keywords

EID: 0033426507     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9876.00160     Document Type: Article

References (22)

1. Abrahamowicz, M., MacKenzie, T. and Esdaile, J. M. (1996) Time-dependent hazard ratio: modeling and hypothesis testing with application in lupus nephritis. J. Am. Statist. Ass., 91, 1432-1439.
2. Chambers, J. M. and Hastie, T. J. (eds) (1992) Statistical Models in S. Pacific Grove: Wadsworth and Brooks/Cole.
3. Clemens, J. D., Sack, D. A., Harris, J. R., van Loon, F., Chakraborty, J., Ahmed, F., Rao, M. R., Khan, M. R., Yunis, M., Huda, N., Stanton, B. F., Kay, B. A., Walter, S., Eeckles, R., Svennerholm, A. and Holmgren, J. (1990) Field trial of oral cholera vaccines in Bangladesh: results from three-year follow-up. Lancet, 335, 270-273.
4. Cox, D. R. (1972) Regression models and life-tables (with discussion). J. R. Statist. Soc. B, 34, 187-220.
5. Durham, L. K., Longini, I. M., Halloran, M. E., Clemens, J. D., Nizam, A. and Rao, M. (1998) Estimation of vaccine efficacy in the presence of waning: application to cholera vaccines. Am. J. Epidem., 147, 948-959.
6. Gilks, W., Wang, C., Yvonnet, B. and Coursaget, P. (1993) Random-effects models for longitudinal data using Gibbs sampling. Biometrics, 49, 441-454.
7. Gill, R. and Schumacher, M. (1987) A simple test of the proportional hazards assumption. Biometrika, 74, 289-300.
8. Grambsch, P. and Therneau, T. M. (1994) Proportional hazards tests and diagnostics based on weighted residuals. Biometrika, 81, 515-526.
9. Halloran, M. F., Longini, I. M. and Struchiner, C. J. (1996) Estimation and interpretation of vaccine efficacy using frailty mixing models. Am. J. Epidem., 144, 83-97.
10. Halloran, M. E. and Struchiner, C. J. (1991) Study designs for dependent happenings. Epidemiology, 2, 331-338.
11. Hastie, T. J. and Tibshirani, R. (1986) Generalized additive models (with discussion). Statist. Sci., 1, 297-318.
12. _ (1990) Generalized Additive Models. London: Chapman and Hall.
13. _ (1993) Varying-coefficient models (with discussion). J. R. Statist. Soc. B, 55, 757-796.
14. Kooperberg, C., Stone, C. J. and Truong, Y. K. (1995) Hazard regression. J. Am. Statist. Ass., 90, 78-94.
15. Longini, Jr, I. M. and Halloran, M. E. (1996) A frailty mixture model for estimating vaccine efficacy. Appl. Statist., 45, 165-173.
16. van Loon, F., Clemens, J. D., Chakraborty, J., Rao, M. R., Kay, B. A., Sack. M., Yunis, D. A., Ali, M., Svennerholm, A. and Holmgren, J. (1996) Field trial of inactivated oral cholera vaccines in Bangladesh: results from five years of follow-up. Vaccine, 14, 162-166.
17. McCullagh, P. and Neider, J. A. (1989) Generalized Linear Models, 2nd edn. London: Chapman and Hall.
18. McKeague, I. W. and Sasieni, P. D. (1994) A partly parametric additive risk model. Biometrika, 81, 501-514.
19. Schoenfeld, D. (1982) Partial residuals for the proportional hazards regression model. Biometrika, 69, 239-241.
20. Statistical Sciences (1995) S-PLUS Guide to Statistical and Mathematical Analysis, Version 3.3. Seattle: StatSci.
21. Whitehead, J. (1980) Fitting Cox's regression model to survival data using GLIM. Appl. Statist., 29, 268-275.
22. Zucker, D. M. and Karr, A. F. (1990) Non-parametric survival analysis with time-dependent covariate effects: a penalized likelihood approach. Ann. Statist., 18, 329-353.