Skip to main content

Planning Herbicide Dose-Response Bioassays Using the Bootstrap

  • Chapter
Optimum Design 2000

Abstract

Dose response herbicide bioassays generally demand large amounts of time and resources. The choice of doses to be used is thus critical. For a given model, optimum design theory can be used to generate optimum designs for parameter estimation. However, such designs depend on the parameter values and in general do not have enough support points to detect lack of fit. This work describes the use of bootstrap methods to generate an empirical distribution of the optimum design points, based on the results of a previous experiment, and suggests designs based on this distribution. These designs are then compared to the Bayesian D-optimum designs

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Atkinson, A.C. and Donev, A.N. (1992). Optimum Experimental Designs. Oxford: Oxford University Press.

    MATH  Google Scholar 

  • Chaloner, K. and Verdinelli, I. (1995). Bayesian experimental design: a review. Stat. Sci. 10, 273–304.

    Article  MathSciNet  MATH  Google Scholar 

  • Davison, A.C. and Hinkley, D.V. (1997). Bootstrap Methods and Their Application. Cambridge: Cambridge University Press.

    MATH  Google Scholar 

  • Efron, B. and Tibshirani, R.J. (1993). An Introduction to the Bootstrap. London: Chapman & Hall.

    MATH  Google Scholar 

  • Fedorov, V.V. (1972). Theory of Optimal Experiments. London: Academic Press.

    Google Scholar 

  • Kiefer, J. (1959). Optimum experimental designs (with discussion). J. R. Stat. Soc. B 12, 363–66.

    MathSciNet  Google Scholar 

  • Pàzman, A. (1986). Foundations of Optimum Experimental Design. Bratislava: VEDA.

    MATH  Google Scholar 

  • Powles, S.B. and Holtum, J.A.M. (Eds) (1994). Herbicide Resistance in Plants: Biology and Biochemistry. Boca Raton: Lewis.

    Google Scholar 

  • Pukelsheim, F. (1993). Optimal Design of Experiments. New York: Wiley.

    MATH  Google Scholar 

  • Seber, G.A.F. and Wild, C.J. (1989). Nonlinear Regression. New York: Wiley.

    Book  MATH  Google Scholar 

  • Silverman, B.W. (1986). Density Estimation for Statistics and Data Analysis. London: Chapman & Hall.

    MATH  Google Scholar 

  • Silvey, S.D. (1980). Optimal Design. London: Chapman & Hall.

    Book  MATH  Google Scholar 

  • Souza, G.S. (1998). Intwdução aos Modelos de Regressão Linear e Não-linear. Brasília: Embrapa.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Zocchi, S.S., Demétrio, C.G.B. (2001). Planning Herbicide Dose-Response Bioassays Using the Bootstrap. In: Atkinson, A., Bogacka, B., Zhigljavsky, A. (eds) Optimum Design 2000. Nonconvex Optimization and Its Applications, vol 51. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3419-5_25

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-3419-5_25

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4846-5

  • Online ISBN: 978-1-4757-3419-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics