Skip to main content

Targeted Estimation of Cumulative Vaccine Sieve Effects

  • Chapter
  • First Online:
Targeted Learning in Data Science

Part of the book series: Springer Series in Statistics ((SSS))

  • 5451 Accesses

Abstract

Over the last century, effective vaccines have been developed for prevention of disease caused by many pathogens. However, effective vaccines have not yet been developed to prevent infection with the human immunodeficiency virus (HIV). A challenge in developing a vaccine to prevent HIV infection is the substantial heterogeneity in the genetic characteristics of the virus. Preventive HIV vaccines are typically constructed using only several antigens and may protect well against infection caused by virus strains similar to antigens in the vaccine, but fail to protect against disease caused by antigenically dissimilar strains. Therefore, when evaluating preventive HIV vaccines, it is important to study whether and how the efficacy of the vaccine varies with the virus’ characteristics—this field of study is called sieve analysis (Gilbert et al. 19982001). The vaccine can be thought of as a sieve, inducing a strain-specific immunity that presents a barrier to infection, while there also may be “holes in the sieve,” that is, HIV strains that break through the vaccine barrier.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • O. Aalen, Nonparametric estimation of partial transition probabilities in multiple decrement models. Ann. Stat. 6, 534–545 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  • H. Bang, J.M. Robins, Doubly robust estimation in missing data and causal inference models. Biometrics 61, 962–972 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  • J. Benichou, M.H. Gail, Estimates of absolute cause-specific risk in cohort studies. Biometrics 46, 813–826 (1990)

    Article  Google Scholar 

  • J.P. Fine, R.J. Gray, A proportional hazards model for the subdistribution of a competing risk. J. Am. Stat. Assoc. 94(446), 496–509 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  • J.J. Gaynor, E.J. Feuer, C.C. Tan, D.H. Wu, C.R. Little, D.J. Straus, B.D. Clarkson, M.F. Brennan, On the use of cause-specific failure and conditional failure probabilities: examples from clinical oncology data. J. Am. Stat. Assoc. 88(422), 400–409 (1993)

    Article  MATH  Google Scholar 

  • P.B. Gilbert, Comparison of competing risks failure time methods and time-independent methods for assessing strain variations in vaccine protection. Stat. Med. 19(22), 3065–3086 (2000)

    Article  Google Scholar 

  • P.B. Gilbert, S.G. Self, M.A. Ashby, Statistical methods for assessing differential vaccine protection against human immunodeficiency virus types. Biometrics 54(3), 799–814 (1998)

    Article  MATH  Google Scholar 

  • P.B. Gilbert, S.G. Self, M. Rao, A. Naficy, J. Clemens, Sieve analysis: methods for assessing from vaccine trial data how vaccine efficacy varies with genotypic and phenotypic pathogen variation. J. Clin. Epidemiol. 54(1), 68–85 (2001)

    Article  Google Scholar 

  • N. Grambauer, M. Schumacher, J. Beyersmann, Proportional subdistribution hazards modeling offers a summary analysis, even if misspecified. Stat. Med. 29(7–8), 875–884 (2010)

    Article  MathSciNet  Google Scholar 

  • S.M. Hammer, M.E. Sobieszczyk, H. Janes, S.T. Karuna, M.J. Mulligan, D. Grove, B.A. Koblin, S.P. Buchbinder, M.C. Keefer, G.D. Tomaras, Efficacy trial of a DNA/rAd5 HIV-1 preventive vaccine. N. Engl. J. Med. 369(22), 2083–2092 (2013)

    Article  Google Scholar 

  • M. Lunn, D. McNeil, Applying Cox regression to competing risks. Biometrics 51, 524–532 (1995). ISSN 0006-341X

    Article  Google Scholar 

  • K.L. Moore, M.J. van der Laan, Application of time-to-event methods in the assessment of safety in clinical trials, in Design, Summarization, Analysis & Interpretation of Clinical Trials with Time-to-Event Endpoints, ed. by K.E. Peace (Chapman & Hall, Boca Raton, 2009a)

    Google Scholar 

  • M. Pintilie, Analysing and interpreting competing risk data. Stat. Med. 26(6), 1360–1367 (2007)

    Article  MathSciNet  Google Scholar 

  • R.L. Prentice, J.D. Kalbfleisch, A.V. Peterson Jr, N. Flournoy, V.T. Farewell, N.E. Breslow, The analysis of failure times in the presence of competing risks. Biometrics 34(4), 541–554 (1978)

    Article  MATH  Google Scholar 

  • M. Rolland, P.T. Edlefsen, B.B. Larsen, S. Tovanabutra, E. Sanders-Buell, T. Hertz, C. Carrico, S. Menis, C.A. Magaret, H. Ahmed, Increased HIV-1 vaccine efficacy against viruses with genetic signatures in Env V2. Nature 490(7420), 417–420 (2012). ISSN 0028-0836

    Article  Google Scholar 

  • O.M. Stitelman, M.J. van der Laan. Targeted maximum likelihood estimation of effect modification parameters in survival analysis. Int. J. Biostat. 7(1), 1–34 (2011)

    Article  MathSciNet  Google Scholar 

  • C.A. Struthers, J.D. Kalbfleisch, Misspecified proportional hazard models. Biometrika 73(2), 363–369 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  • M.J. van der Laan, S. Gruber, Targeted minimum loss based estimation of causal effects of multiple time point interventions. Int. J. Biostat. 8(1), Article 9 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to David Benkeser .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Benkeser, D., Carone, M., Gilbert, P. (2018). Targeted Estimation of Cumulative Vaccine Sieve Effects. In: Targeted Learning in Data Science. Springer Series in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-65304-4_11

Download citation

Publish with us

Policies and ethics