Estimating vaccine efficacy under the heterogeneity of vaccine action in a nonrandomly mixing population

Journal of Biopharmaceutical Statistics

Volumn 23, Issue 2, 2013, Pages 394-412

  Rahman, M Shafiqur ^a,b  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF DHAKA   (Bangladesh)

Author keywords

Heterogeneous vaccine action; Nonrandom mixing population; Vaccine efficacy

Indexed keywords

VACCINE;

ADAPTIVE IMMUNITY; ALL OR NOTHING VACCINE MODEL; ARTICLE; BASIC REPRODUCTION NUMBER; CLINICAL EFFECTIVENESS; DISEASE TRANSMISSION; EPIDEMIC; HOUSEHOLD; HUMAN; LEAKY VACCINE MODEL; POPULATION RESEARCH; PRIORITY JOURNAL; PROBABILITY; SIMULATION; SUMMARY VACCINE MODEL; SUSCEPTIBLE POPULATION; THEORETICAL MODEL; VACCINATION;

COMPUTER SIMULATION; HUMANS; MODELS, STATISTICAL; PROBABILITY; VACCINATION; VACCINES;

EID: 84874486095     PISSN: 10543406     EISSN: 15205711     Source Type: Journal    
DOI: 10.1080/10543406.2011.616974     Document Type: Article

References (28)

1. Ball, F. G., Lyne, O. D. (2002). Optimal vaccination policies for stochastic epidemics among a population of households. Mathematical Biosciences 177-178:333-54.
2. Ball, F. G., Britton, T., Lyne, O. D. (2004a). Stochastic multitype epidemics in a community of households: Estimation and form of optimal vaccination schemes. Mathematical Biosciences 191(1):19-40.
3. Ball, F. G., Britton, T., Lyne, O. D. (2004b). Stochastic multitype epidemics in a community of households: Estimation of threshold parameter R.and secure vaccination coverage. Biometrika 91(2):345-62.
4. Ball, F. G., Lyne, O. D. (2006). Optimal vaccination schemes for epidemics among a population of households, with application to variola minor in Brazil. Statistical Methods in Medical Research 15:481-497.
5. Ball, F. G., Lyne, O. D. (2001). Stochastic multitype SIR epidemics among a population partitioned into households. Advances in Applied Probability 33:99-123.
6. Bailey, N. T. J. (1975). The Mathematical Theory of Infectious Diseases and its Applications. London, UK: Griffin.
7. Becker, N. G., Utev, S. (2002). Protective vaccine efficacy when vaccine response is random. Biometrical Journal 44:29-42.
8. Becker, N. G., Utev, S. (1997). The effect of community structure on the immunity coverage required to prevent epidemics. Mathematical Biosciences 147:23-39.
9. Becker, N. G., Starczak, D. N. (1997). Optimal vaccination stretegies for a community of households. Mathematical Biosciences 139:117-132.
10. Brunet, R. C. Struchiner, C. J., Halloran, M. E. (1993). On the distribution of vaccine protection under heterogeneous response. Mathematical Biosciences 116:111-125.
11. Comstock, G. W. (1990). Vaccine evaluation by case-control or prospective studies. Amercian Journal of Epidemiology 131:205-207.
12. Davis, X. M, Waller, L. A., Haber, M. (2006). Estimating vaccine efficacy from outbreak size household data in the presence of heterogeneous transmission probabilities. Journal of Biopharmaceutical Statistics 16:499-516.
13. Fine, P. E. M., Clarkson, J. A. (1987). Reflection on the efficacy of pertussis vaccines. Review of Infectious Diseases 9:866-883.
14. Greenwood, M., Yule, U. G. (1915). The statistics of anti-typhoid and anticholera inoculations, and the interpretation of such statistics in general. Proc. Royal Society of Medicine 8:113-194.
15. Haber, M., Longini, I. M., Jr., Halloran, M. E. (1991a). Estimation of vaccine efficacy in outbreaks of acute infectious disease. Statistics in Medicine 10:1573-1584.
16. Haber, M., Longini, I. M., Jr., Halloran, M. E. (1991b). Measures of the effects of vaccination in a randomly mixing population. International Journal of Epidemiology 20:300-310.
17. Haber, M., Longini, I. M. Jr., Halloran, M. E., Watelet, L. (1995). Estimation of vaccine efficacy in a non-randomly mixing population. Biometrical Journal 37:25-38.
18. Halloran, M. E., Haber, M., Longini, I. M., Jr., Struchiner, C. J. (1991). Direct and Indirect Effects in Vaccine Efficacy and Effectiveness. Amercian Journal of Epidemiology 133:456-463.
19. Halloran, M. E., Haber, M., Longini, I. M., Jr. (1992). Interpretation and estimation of vaccine field efficacy under heterogeneity. Amercian Journal of Epidemiology 136:328-343.
20. Halloran, M. E, Longini, I. M., Jr., Struchiner, C. J. (1996). Estimability and interpretation of vaccine efficacy using frailty mixing models. Amercian Journal of Epidemiology 144:83-97.
21. Hethcote, H. W. (1976). Qualitative analyses of communicable disease models. Mathematical Biosciences 28:335-356.
22. Kermack, W. O., McKendrick, A. G. (1927). A contribution to the mathematical theory of epidemics. Proc. Royal Society of London Series A 115:700-721.
23. Longini, I. M., Jr., Halloran, M. E., Haber, M. (1993). Estimation of vaccine efficacy from epidemics of acute infectious agents under vaccine-related heterogeneity. Mathematical Biosciences 117:271-281.
24. Longini, I. M., Jr., Halloran, M. E. (1996). A frailty mixture model for estimating vaccine efficacy. Applied Statistics 45:165-173.
25. Pellis, L., Ferguson N. M., Fraser, C. (2009). Threshold parameters for a model of epidemic spread among households and workplaces. Journal of Royal Society Interface 6:979-987.
26. Smith, C. E. G. (1970). Prospects for the control of infectious disease. Proc. Royal Society of Medicine 63:1181-1190.
27. Smith P. G., Rodrigues, L. C., Fine, P. E. M. (1984). Assessment of the protective efficacy of vaccines against common diseases using case-control and cohort studies. International Journal of Epidemiology 13:87-93.
28. Struchiner, C. J., Brunet, R., Halloran M. E., Massad E., Azevedo-Neto, R. S. (1995). On the use of state-space models for the evaluation of health interventions. Journal of Biological Systems 3:851-65.