Skip to main content
SpringerLink
Log in

Split and strip-plot configurations of two-level fractional factorials: A review

  • Published:
Journal of the Italian Statistical Society Aims and scope Submit manuscript

Summary

A key problem in multifactor experiments is the run number reduction to save costs of experimentation. A way to meet this target is based upon patterned restrictions on randomization principle. Here the main focus is based on describing and analysing recent advances in extended split and strip-plot fractional factorials. Some comments are devoted to robustness properties under deviations from double equicorrelation within strip-plot setting.

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

  • Bingham, D. andSitter, R. R. (1999a), Minimum-Aberration Two-Level Fractional Factorial Split-Plot Designs.Technometrics, 41 (1), 62–70.

    Article  MathSciNet  Google Scholar 

  • Bingham, D. andSitter, R. R. (1999b), Some Theoretical Results for Fractional Factorial Split-Plot Designs.The Annals of Statistics, 27 (4), 1240–1255.

    Article  MATH  MathSciNet  Google Scholar 

  • Box, G. E. P. andJones, S. (1992), Split-Plot Designs for Robust Product Experimentation.Journal of Applied Statistics, 19 (1), 3–26.

    Article  Google Scholar 

  • Chen, J., Sun, D. X. andWu, C. F. J. (1993), A Catalogue of Two-Level and Three-Level Fractional Factorial Designs With Small Runs.International Statistical Review, 61, 131–145.

    Article  MATH  Google Scholar 

  • Cochran, W. G. andCox, G. M. (1957),Experimental Design. New York: Wiley.

    Google Scholar 

  • Federer, W. T. (1975), The Misunderstood Split Plot. InApplied Statistics (ed. R. A. Gupta) 9–39. Oxford: North-Holland; New York: American Elsevier.

    Google Scholar 

  • Franklin, M. F. (1984), Constructing Tables of Minimum Aberrationp n-m Designs.Technometrics, 26 (3), 601–608.

    Article  MathSciNet  Google Scholar 

  • Franklin, M. F. andBailey, R. A. (1977), Selecting Defining Contrasts and Confounded Effects in Two-Level Experiments.Applied Statistics, 26, 321–326.

    Article  Google Scholar 

  • Guseo, R. (1997), Split-Plot Design: Extension and Robustness Aspects.Statistica Applicata, 9 (1), 61–79.

    Google Scholar 

  • Guseo, R. (1999), Fixed Effects Balanced Strip-Plot Designs under Random Blocks and Non-Uniform Dependence: Robustness Properties, Venezia 27–29 sept. 1999 (submitted for publication, under revision).

  • Guseo, R. (2000), Strip-Plot Fractional Factorials: local Fractioning; extended version of «Analisi dei trattamenti fattoriali in un piano strip-plot: aspetti critici», MURST Cofin98 «Metodologie per la programmazione degli esperimenti e loro applicazioni». Torino 17–18/2000 (submitted for publication),

  • Guseo, R. andMortarino, C. (2000), Strip-plot e frazionamento: aspetti critici.Proceedings of XL Riunione Scientifica S.I.S., Società Italiana di Statistica, 237–240.

  • Huang, P., Chen, D. andVoelkel, J. O. (1998), Minimum-Aberration Two-Level Split-Plot Designs.Technometrics, 40 (4), 314–326.

    Article  MATH  MathSciNet  Google Scholar 

  • Kempthorne, O. (1952),The Design and Analysis of Experiments. New York: Wiley.

    MATH  Google Scholar 

  • Miller, A. (1997), Strip-plot configurations of fractional factorials.Technometrics, 39 (2), 153–161.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Scienze Statistiche, Università di Padova, Via C. Battisti 241-I-35121, Padova, Italy

    Renato Guseo

Authors
  1. Renato Guseo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Renato Guseo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guseo, R. Split and strip-plot configurations of two-level fractional factorials: A review. J. Ital. Statist. Soc. 9, 85–96 (2000). https://doi.org/10.1007/BF03178959

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03178959

Keywords and phrases

Search

Navigation