Skip to main content

A Rank-Invariant Method of Linear and Polynomial Regression Analysis

  • Chapter
Book cover Henri Theil’s Contributions to Economics and Econometrics

Part of the book series: Advanced Studies in Theoretical and Applied Econometrics ((ASTA,volume 23))

Abstract

Regression analysis is usually carried out under the hypothesis that one of the variables is normally distributed with constant variance, its mean being a function of the other variables. This assumption is not always satisfied, and in most cases difficult to ascertain.

This article first appeared in the Proceedings of the Royal Netherlands Academy of Sciences 53 (1950) Part I: 386-392, Part II: 521-525, Part III: 1397-1412. Reprinted here with the permission of the Royal Netherlands Academy of Arts and Sciences.

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

  • Bartlett, M.S.: 1949, “Fitting a Straight Line when Both Variables are Subject to Error,” Biometrics, 5, 207–212.

    Article  Google Scholar 

  • Dantzig, D. van: 1947, Capita Selecta der Waarschijnlijkheidsrekening, caput II, (stenciled).

    Google Scholar 

  • Housner, G.W., and J.F. Brennan: 1948, “The Estimation of Linear Trends,” Annals of Mathematical Statistics, 19, 380–388.

    Article  Google Scholar 

  • Kendall, M.G.: 1947, The Advanced Theory of Statistics, London, 1, 3rd edition.

    Google Scholar 

  • Kendall, M.G.: 1948, Rank Correlation Methods, London.

    Google Scholar 

  • Nair, K.R., and K.S. Banerjee: 1942, “A Note on Fitting of Straight Lines if Both Variables are Subject to Error,” Sankhya, 6, 331.

    Google Scholar 

  • Nair, K.R., and M.P. Shrivastava: 1942, “On a Simple Method of Curve Fitting,” Sankhya, 6, 121–132.

    Google Scholar 

  • Wald, A.: 1940, “The Fitting of Straight Lines if Both Variables are Subject to Error,” Annals of Mathematical Statistics, 11, 284–300.

    Article  Google Scholar 

References

  • Bentzel, R., and H. Wold: 1946, “On Statistical Demand Analysis from the Viewpoint of Simultaneous Equations”, Skand. Aktuarietidskr., 29, 95–114.

    Google Scholar 

  • Girshick, M.A., and T. Haavelmo: 1947, “Statistical Analysis of the Demand for Food: Examples of Simultaneous Estimation of Structural Equations,” Econometrica, 15, 79–110.

    Article  Google Scholar 

  • Haavelmo, T.: 1943, “The Statistical Implications of a System of Simultaneous Equations,” Econometrica, 11, 1–12.

    Article  Google Scholar 

  • Haavelmo, T.: 1944, “The Probability Approach in Econometrics,” Econometrica, 12, suppl.

    Google Scholar 

  • Koopmans, T.: 1945, “Statistical Estimation of Simultaneous Economic Relations,” Journal of the Amer. Statist. Assoc, 40, 448–466.

    Article  Google Scholar 

  • Koopmans, T.: 1950, ed, Statistical Inference in Dynamic Economic Models, New York.

    Google Scholar 

  • Thompson, W.R.: 1936, “On Confidence Ranges for the Median and Other Expectation Distributions for Populations of Unknown Distribution Form,” Annals of Math. Statist., 7, 122–128.

    Article  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

Theil, H. (1992). A Rank-Invariant Method of Linear and Polynomial Regression Analysis. In: Raj, B., Koerts, J. (eds) Henri Theil’s Contributions to Economics and Econometrics. Advanced Studies in Theoretical and Applied Econometrics, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2546-8_20

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-2546-8_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5124-8

  • Online ISBN: 978-94-011-2546-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics