Skip to main content

Dimensional Analysis in Data Modelling

  • Chapter

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 50))

Abstract

Dimensional Analysis can make a contribution to data modelling when some of the variables in the problem are physical. The analysis constructs the set of independent dimensionless factors that should be used as the major variables of the model in place of the original measurements. There are fewer of these than the originals and they may have a more appropriate interpretation. The technique is described briefly and its proposed role in data analysis and regression illustrated with an example.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Buckingham,E.: 1914, ‘On physically similar systems: Illustrations of the use of dimensional equations’, Phys.Rev., 4: 345–76.

    Article  Google Scholar 

  • Henderson, H.V. and Velleman, P.E.: 1982, ‘Building multiple regression models interactively’, Biometrics, 37:391–411, June. (discussion 38, 511–516).

    Google Scholar 

  • Hocking, R.R.: 1976, ‘The analysis and selection of variables in linear regression’, Biometrics, 32:1–49, March.

    Google Scholar 

  • Huntley, H.E.: 1967, Dimensional Analysis. Dover Publications, New York.

    Google Scholar 

  • Kasprzak, W., Lysik, B, and Rybaczuk, M.: 1990, Dimensional Analysis in the Identification of Mathematical Models. World Scientific Press.

    Google Scholar 

  • Naddor, E.: 1966, ‘Dimensions in operations research’, Operations Research, 14: 508–514.

    Article  Google Scholar 

  • Rayleigh, J.W.S.: 1915, ‘The principle of similitude’, Nature,95(66):591 and 644.

    Google Scholar 

  • Taylor, E.S.: 1974, Dimensional Analysis for Engineers. Clarendon Press, Oxford.

    Google Scholar 

  • Vignaux, G.A.: 1986, ‘Dimensional analysis in operations research’, New Zealand Operational Research, 14: 81–92.

    MathSciNet  Google Scholar 

  • Vignaux, G.A. and Jain, S.: 1988, ‘An approximate inventory model based on dimensional analysis’, Asia-Pacific Journal of Operational Research, 5 (2): 117–123.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Vignaux, G.A. (1992). Dimensional Analysis in Data Modelling. In: Smith, C.R., Erickson, G.J., Neudorfer, P.O. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 50. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2219-3_7

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-2219-3_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4220-0

  • Online ISBN: 978-94-017-2219-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics