Skip to main content

Part of the book series: ICSA Book Series in Statistics ((ICSABSS,volume 9))

Abstract

The logistic regression model, as compared to the probit, Tobit, and complementary log–log models, is worth revisiting based upon the work of Cramer (http://ssrn.com/abstract=360300 or http://dx.doi.org/10.2139/ssrn.360300) and (Logit models from economics and other fields, Cambridge University Press, Cambridge, England, 2003, pp. 149–158). The ability to model the odds has made the logistic regression model a popular method of statistical analysis. The logistic regression model can be used for prospective, retrospective, or cross-sectional data while the probit, Tobit, and the complementary log–log models can only be used with prospective data because they model the probability of the event. This chapter provides a summary (http://ssrn.com/abstract=360300 or http://dx.doi.org/10.2139/ssrn.360300; Logit models from economics and other fields, Cambridge University Press, Cambridge, England, 2003, pp. 149–158).

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
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

References

  • Berkson, J. (1944). Applications of the logistic function to bioassay. Journal of the American Statistical Association, 9, 357–365.

    Google Scholar 

  • Berkson, J. (1951). Why I prefer logits to probits. Biometrics, 7(4), 327–339.

    Article  Google Scholar 

  • Bishop, Y. M., Fienberg, S. E., & Holland, P. W. (1975). Discrete multivariate analysis: Theory and practice. Cambridge, MA: MIT Press.

    MATH  Google Scholar 

  • Bliss, C. I. (1934a). The method of probits. Science, 79, 38–39.

    Article  Google Scholar 

  • Bliss, C. I. (1934b). The method of probits. Science, 79, 409–410.

    Article  Google Scholar 

  • Cornfield, J. (1951). A method of estimating comparative rates from clinical data. Journal of the National Cancer Institute, 11, 1269–1275.

    Google Scholar 

  • Cornfield, J. (1956). A statistical problem arising from retrospective studies. In J. Neyman (Ed.), Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability (pp. 135–148). Berkeley, CA: University of California Press.

    Google Scholar 

  • Cox, D. R. (1969). Analysis of binary data. London: Chapman and Hall.

    Google Scholar 

  • Cramer, J. S. (2002). The origins of logistic regression (Tinbergen Institute Working Paper No. 2002-119/4). Retrieved from SSRN: http://ssrn.com/abstract=360300 or http://dx.doi.org/10.2139/ssrn.360300

  • Cramer, J. S. (2003). The origins and development of the logit model. In J. S. Cramer (Ed.), Logit models from economics and other fields (pp. 149–158). Cambridge, England: Cambridge University Press.

    Chapter  Google Scholar 

  • Gurland, J., Lee, I., & Dahm, P. A. (1960). Polychotomous quantal response in biological assay. Biometrics, 16, 382–398.

    Article  Google Scholar 

  • Hosmer, D., & Lemeshow, W. (1989). Applied logistic regression. New York: Wiley.

    MATH  Google Scholar 

  • Mantel, N. (1966). Models for complex contingency tables and polychotomous response curves. Biometrics, 22, 83–110.

    Article  Google Scholar 

  • Reed, L. J., & Berkson, J. (1929). The application of the logistic function to experimental data. Journal of Physical Chemistry, 33(5), 760–779.

    Article  Google Scholar 

  • Theil, H. (1969). A multinomial extension of the linear logit model. International Economic Review, 10(3), 251–259.

    Article  Google Scholar 

  • Wilson, E. B. (1925). The logistic or autocatalytic grid. Proceedings of the National Academy of Science, 11, 431–456.

    MATH  Google Scholar 

  • Winsor, C. P. (1932). A comparison of certain symmetrical growth curves. Proceeding of Washington Academy of Sciences, 22, 73–84.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Wilson, J.R., Lorenz, K.A. (2015). Short History of the Logistic Regression Model. In: Modeling Binary Correlated Responses using SAS, SPSS and R. ICSA Book Series in Statistics, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-319-23805-0_2

Download citation

Publish with us

Policies and ethics