Estimating vaccine efficacy from secondary attack rates

Journal of the American Statistical Association

Volumn 98, Issue 461, 2003, Pages 38-46

  Halloran, M Elizabeth ^a   Préziosi, Marie Pierre ^a,b   Chu, Haitao ^a  

^a EMORY UNIVERSITY   (United States)

^b INSTITUT DE RECHERCHE POUR LE DÉVELOPPEMENT   (Senegal)

Author keywords

Africa; Bootstrap; Clustering; Efficacy; Generalized estimating equations; Hierarchical models; Pertussis; Random effects models; Secondary attack rate; Vaccine

Indexed keywords

EID: 0037364857     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214503388619076     Document Type: Article

References (51)

1. Aaby, P., Samb, B., Anderson, M., and Simondon, F. (1996), "No Long-Term Excess Mortality After Measles Infection: A Community Study From Senegal," American Journal of Epidemiology, 143, 1035-1041.
2. Agresti, A. (1990), Categorical Data Analysis, New York: Wiley.
3. Bailey, N. T. J. (1975), The Mathematical Theory of Infectious Diseases and Its Application (2nd ed.), London: Griffin.
4. Brooks, S. P., and Gelman, A. (1998), "Alternative Methods for Monitoring Convergence of Iterative Simulations," Journal of Computational Graphics and Statistics, 7, 434-455.
5. Carlin, B. P., and Louis, T. A. (2000), Bayes and Empirical Bayes Methods for Data Analysis (2nd ed.), New York: Chapman and Hall/CRC.
6. Chu, H., Halloran, M. E., and Préziosi, M.-P. (2001), "Estimating Heterogeneous Transmission With Multiple Primary Cases Using MCMC Methods," Technical Report 01-11, Emory University, Dept. of Biostatistics.
7. Davidian, M., and Giltinan, D. M. (1995), Nonlinear Models for Repeated Measurement Data, New York: Chapman and Hall/CRC.
8. Diggle, P. J., Liang, K. Y, and Zeger, S. L. (1994), Analysis of Longitudinal Data, Oxford, UK: Oxford University Press.
9. Dunson, D. B., and Halloran, M. E. (1996), "Estimating Transmission Blocking Efficacy of Malaria Vaccines," Technical Report 96-16, Emory University, Dept. of Biostatistics.
10. Efron, B., and Tibshirani, R. J. (1993), An Introduction to the Bootstrap, New York: Chapman and Hall.
11. Fine, P. E. M., and Clarkson, J. A. (1982), "The Recurrence of Whooping Cough: Possible Implications for Assessment of Vaccine Efficacy," Lancet, 1, 666-669.
12. _ (1987), "Reflections on the Efficacy of Pertussis Vaccines" Reviews of Infectious Diseases, 9, 866-883.
13. Fine, P. E. M., Clarkson, J. A., and Miller, E. (1988), "The Efficacy of Pertussis Vaccines Under Conditions of Household Exposure: Further Analysis of the 1978-80 PHLS-ERL Study in 21 Area Health Authorities in England," International journal of Epidemiology, 17, 635-642.
14. Francis, T., Köms, R. F., Voights, R. B., Boisen, M., Hemphill, F. M., Napier, J. A., and Tolchinsky, E. (1955), "An Evaluation of the 1954 Poliomyelitis Vaccine Trials," American Journal of Public Health, 45, 1-63.
15. Garenne, M., and Cantrelle, P. (1998). "Three Decades of Research on Population and Health: The Orstom Experience in Rural Senegal, 1962-1991," in Prospective Community Studies in Developing Countries, eds. M. Das Gupta, P. Aaby, M. Garenne, and G. Pison; Oxford, UK: Clarendon Press, pp. 233-252.
16. Garenne, M., Leroy, O., Beau, J.-P., and Sene, I. (1993), "Efficacy of Measles Vaccines After Controlling for Exposure," American Journal of Epidemiology, 138, 182-195.
17. Gelman, A., and Rubin, D. B. (1992), "Inference From Iterative Simulation Using Multiple Sequences," Statistical Sciences, 7, 457-472.
18. Golm, G. T., Halloran, M. E., and Longini, I. M. (1998), "Semiparametric Models for Mismeasured Exposure Information in Vaccine Trials," Statistics in Medicine, 17, 2335-2352.
19. Halloran, M. E. (2001), "Overview of Study Design," in Epidemiologie Methods for the Study of Infectious Diseases, eds. J. C. Thomas and D. J. Weber, Oxford, UK: Oxford University Press.
20. Halloran, M. E., and Struchiner, C. J. (1995), "Causal Inference for Infectious Diseases," Epidemiology, 6, 142-151.
21. Halloran, M. E., Struchiner, C. J., and Longini, I. M. (1997), "Study Designs for Different Efficacy and Effectiveness Aspects of Vaccination," American Journal of Epidemiology, 146, 789-803.
22. Katz, D., Baptista, J., Azen, S. P., and Pike, M. C. (1978), "Obtaining Confidence Intervals for the Risk Ratio in Cohort Studies," Biometrics, 34, 469-474.
23. Kendrick, P., and Eidering, G. (1939), "A Study in Active Immunization Against Pertussis," American Journal of Hygiene, Section B, 38, 133.
24. Kim-Farley, R., Bart, S., Steiler, H., Orenstein, W., Bart, K., Sullivan, K., Halpin, T., and Sirotkin, B. (1985), "Clinical Mumps Vaccine Efficacy," American Journal of Epidemiology, 121, 593-597.
25. Kolzcak, M., and Halloran, M. E. (1995), "Estimating the Variability of Secondary Attack Rates and Vaccine Efficacy Based on Secondary Attack Rates." Technical Report 95-7, Emory University, Dept. of Biostatistics.
26. Liang, K. Y., and Zeger, S. L. (1986), "Longitudinal Data Analysis Using Generalized Linear Models," Biometrika, 73, 13-22.
27. Longini, I. M., Datta, S., and Halloran, M. E. (1996), "Measuring Vaccine Efficacy for Both Susceptibility to Infection and Reduction in Infectiousness for Prophylactic HIV-1 Vaccines," Journal of Acquired Immune Deficiency Syndrome and Human Retrovirus, 13, 440-447.
28. Longini, I. M., Halloran, M. E., Haber, M. J., and Chen, R. T. (1993), "Measuring Vaccine Efficacy From Epidemics of Acute Infectious Agents," Statistics in Medicine, 12, 249-263.
29. Longini, I. M., and Koopman, J. S. (1982), "Household and Community Transmission Parameters From Final Distributions of Infections in Households," Biometrics, 38, 115-126.
30. Longini, I. M., Koopman, J. S., Haber, M. J., and Cotsonis, G. A. (1988), "Statistical Inference for Infectious Diseases: Risk-Specified Household and Community Transmission Parameters," American Journal of Epidemiology, 128, 845-859.
31. Miller, E., and Gay, N. J. (1997), "Epidemiological Determinants of Pertussis," Developments in Biological Standardization, 89, 15-23.
32. O'Neill, P. O. D., Balding, D. J., Becker, N. G., Eerola, M., and Mollison, D. (2000), "Analyses of Infectious Disease Data From Household Outbreaks by Markov Chain Monte Carlo Methods," Applied Statistics, 49, 517-542.
33. Orenstein, W. A., Bernier, R. H., Dondero, T. J., Hinman, A. R., Marks, J. S., Bart, K. J. and Sirotkin, B. (1985), "Field Evaluation of Vaccine Efficacy," Bulletin of the World Health Organization, 63, 1055-1068.
34. Orenstein, W. A., Bernier, R. H., and Hinman, A. R. (1988), "Assessing Vaccine Efficacy in the Field: Further Observations," Epidemiologie Reviews, 10, 212-241.
35. Pinheiro, J. C., and Bates, D. M. (1995), "Approximations to the Log-Likelihood Function in the Nonlinear Mixed-Effects Model," Journal of Computation and Graphical Statistics, 4, 12-35.
36. Préziosi, M.-P., and Halloran, M. E. (2003), "Effects of Pertussis Vaccination on Transmission: Vaccine Efficacy for Infectiousness," Vaccine, in press.
37. Préziosi, M.-P., Yam, A., Ndiaye, M., Simaga, A., Simondon, F., and Wassilak, S. G. (1997). "Practical Experiences in Obtaining Informed Consent for a Vaccine Trial in Rural Africa," New England Journal of Medicine, 336, 370-373.
38. Préziosi, M.-P., Yam, A., Wassilak, S. G., Chabirand, L., Simaga, A., Ndiaye, M., Dia, F., Dabis, F., and Simondon, F. (2002), "Epidemiology of Whooping Cough in a West African Community Before and After Introduction of a Widespread Vaccination Programme," American Journal of Epidemiology, 155, 891-896.
39. Rampey, A. H., Longini, I. M., Haber, M. J., and Monto, A. S. (1992), "A Discrete-Time Model for the Statistical Analysis of Infectious Disease Incidence Data," Biometrics, 48, 117-128.
40. Rohani, P., Earn, D. J., and Grenfell, B. T. (2000), "Impact of Immunisation on Pertussis Transmission in England and Wales" [letter], Lancet, 355, 285-286.
41. SAS Institute, Inc. (1999), SAS Software Version 8.1 for the Unix Operating System (SunOS), Cary, NC: author.
42. Simondon, F., Iteman, I., Préziosi, M.-P., Yam, A., and Guiso, N. (1998), "Evaluation of an Immunoglobulin G Enzyme-Linked Immunosorbent Assay for Pertussis Toxin and Filamentous Hemagglutinin in Diagnosis of Pertussis in Senegal," Clinical and Diagnostic Laboratory Immunology, 5, 130-134.
43. Simondon, F., Préziosi, M.-P., Yam, A., Kane, C. T., Chabirand, L., Iteman, I., Sanden, G., Mboup, S., Hoffenbach, A., Knudsen, K., Guiso, N., Wassilak, S., and Cadoz, M. (1997), "A Randomized Double-Blind Trial Comparing a Two-Component Acellular to a Whole-Cell Pertussis Vaccine in Senegal," Vaccine, 15, 1606-1612.
44. Spiegelhalter, D. J., Thomas, A., and Best, N. G. (2000), WinBUGS User Manual, version 1.3. Medical Research Council Biostatistics Unit, Cambridge, UK.
45. Storsaeter, J., Blackwelder, W. C., and Hallander, H. O. (1992), "Pertussis Antibodies, Protection, and Vaccine Efficacy After Household Exposure," American Journal of Diseases of Children, 146, 167-172.
46. Taranger, J., Trollfors, B., Bergfors, E., Knutsson, N., Sundh, V, Lagergard, T. Lind-Brandberg, L., Zackrisson, G., White, J., Cicierllo, H., Fusco, J., and Robbins, J. B. (2001), "Mass Vaccination of Children With Pertussis Toxoid - Decreased Incidence in Both Vaccinated and Nonvaccinated Persons," Clinical Infectious Diseases, 33, 1004-1009.
47. Thomas, D. G., and Gart, J. J. (1977), "A Table of Exact Confidence Limits for Differences and Ratios of Two Proportions and Their Odds Ratios," Journal of the American Statistical Association, 72, 73-76.
48. Trollfors, B., Taranger, J., Lagergard, T., Sundh, V., Bryla, D. A., Schneerson, R., and Robbins, J. B. (1998). "Immunization of Children With Pertussis Toxoid Decreases Spread of Pertussis Within the Family." The Pediatric Infectious Disease Journal, 17, 196-199.
49. World Health Organization (1991), Meeting on Case Definition of Pertussis, January 10-11 1991, MIM/EPI/PERT/91.1.
50. World Health Organization (2001), Pertussis Surveillance: A Global Meeting, Geneva, October 16-18 2000. WHO/V and B/0.1.19.
51. Wolfinger, R. D. (1999), "Fitting Nonlinear Mixed Models With the New NLMIXED Procedure," in Proceedings of the 24th Annual SAS Users Group International Conference, Cary, NC: SAS Institute, Inc., p. 287.