Skip to main content
Log in

Use of simplex experimental designs in detergent formulation

  • Technical
  • Published:
Journal of the American Oil Chemists Society

Abstract

Research in the field of detergent formulation is deeply involved in the optimization of numerous detergent systems. The use of experimental designs in looking for optimal formulations can save a large amount of laboratory time. This paper describes a coherent strategy of use for a special class of simplex designs adapted from Scheffé’s work. The technique applies to multicomponent systems, as they are generally met in detergent formulation. Proper designs provide polynomial equations and, in addition, convenient graphical representations that enable the chemist to predict responses for a wide range of mixtures. Calculations are easy. A computer may help for routine application of these designs, but is not strictly required. The method is illustrated by a problem in the solubilization of light duty liquid detergents and at the same time provides arguments for better use of statistics in formulation. Finally, this simplex method is positioned among some other statistical techniques dealing with mixture designs.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Scheffé, H., J. R. Statist. Soc. B, 20:344 (1958).

    MATH  Google Scholar 

  2. Scheffé, H., Ibid. 25:235 (1963).

    Google Scholar 

  3. Gorman, J.W., and J.E. Hinman, Technometrics 4:463 (1962).

    Article  MATH  Google Scholar 

  4. Fisher, R.A. and F. Yates, Statistical Tables, Sixth edition, Oliver and Boyd, 1967.

  5. Cornell, J.A., Technical Report No. 5, University of Florida, 1970.

  6. Box, G.E.P., and N.R. Draper, J. Amer. Statist. Ass., 54:622 (1959).

    Article  MATH  MathSciNet  Google Scholar 

  7. Lambrakis, D.P., J.R. Statist. Soc. B, 30:123 (1968).

    MathSciNet  Google Scholar 

  8. Lambrakis, D.P., Ibid. 30:137 (1968).

    MathSciNet  Google Scholar 

  9. Lambrakis, D.P., Ibid. 31:234 (1969).

    MathSciNet  Google Scholar 

  10. Lambrakis, D.P., Ibid. 31:276 (1969).

    MATH  MathSciNet  Google Scholar 

  11. Draper, N.R., and W. Lawrence, Ibid. 27:450 (1965).

    MATH  MathSciNet  Google Scholar 

  12. Draper, N.R., and W. Lawrence, Ibid. 27:473 (1965).

    MATH  MathSciNet  Google Scholar 

  13. Thomson, W.O., and R.H. Myers, Technometrics 10:739 (1968).

    Article  MATH  MathSciNet  Google Scholar 

  14. Kiefer, J., Ann. Math. Statist. 32:298 (1961).

    MathSciNet  Google Scholar 

  15. Murty, J.S., and M.N. Das, Ann. Math. Statist 39:1517 (1968).

    MathSciNet  Google Scholar 

  16. McLean, R.A., and V.L. Anderson, Technometrics 8:447 (1966).

    Article  MathSciNet  Google Scholar 

  17. Spendley, W., G.R. Hext and F.R. Himworth, Ibid. 4:441 (1962).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Narcy, J.P., Renaud, J. Use of simplex experimental designs in detergent formulation. J Am Oil Chem Soc 49, 598–608 (1972). https://doi.org/10.1007/BF02609236

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02609236

Keywords

Navigation