Skip to main content
SpringerLink
Log in

Statistical analysis of the joint inhibitory action of similar compounds

  • Published:
Journal of Chemical Ecology Aims and scope Submit manuscript

Abstract

A statistical model is presented that characterizes the joint action of similar compounds when the response variable is continuous. The model allows for antagonistic and synergistic as well as similar joint (additive) action of compounds. It also allows for differential potencies in the compounds. A method of statistical analysis using nonlinear regression analysis is presented along with sample SAS code for carrying it out. An efficient experimental design is given in the form of a set of mixture combinations. Two generalizations of the model are discussed. An example is presented relating the joint action of ferulic and vanillic acids to the growth of cucumber seedlings.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bliss, C.I. 1939. The toxicity of poisons applied jointly.Ann. Appl. Biol. 26:585–615.

    Google Scholar 

  • Finney, D.J. 1952. Probit Analysis. Cambridge University Press, New York, pp. 122–53.

    Google Scholar 

  • Gallant, A.R. 1975. Nonlinear regression.Am. Stat. 29:73–81.

    Google Scholar 

  • Morse, P.M. 1978. Some comments on the assessment of joint action in herbicide mixtures.Weed Sci. 26:58–71.

    Google Scholar 

  • SAS Institute Inc. 1985. SAS User's Guide: Statistics, Version 5 Edition. SAS Institute Inc., Cary, North Carolina, pp. 575–606.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Statistics, North Carolina State University, 27695, Raleigh, North Carolina

    Thomas M. Gerig & Kristen Meier

  2. Department of Botany, North Carolina State University, 27695, Raleigh, North Carolina

    Udo Blum

Authors
  1. Thomas M. Gerig
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Udo Blum
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Kristen Meier
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Paper No. 11878 of the Journal Series of the North Carolina Agricultural Research Service, Raleigh, North Carolina 27695-7601. The use of trade names in this publication does not imply endorsement by the North Carolina Agricultural Research Service of the product named, nor criticism of similar ones not mentioned. This research was partially supported by US-Spain Joint Committee for Scientific and Technological Cooperation project CCA-8309/166.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gerig, T.M., Blum, U. & Meier, K. Statistical analysis of the joint inhibitory action of similar compounds. J Chem Ecol 15, 2403–2412 (1989). https://doi.org/10.1007/BF01020371

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01020371

Key words

Search

Navigation