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Some Problems with the Use of Regression Analysis in Geography

  • David M. Mark
Chapter
Part of the Theory and Decision Library book series (TDLU, volume 40)

Abstract

Many of the fundamental questions in science concern relations among two or more variables. “Are these variables related?” “What is the nature of the relationship?” “Can the value of one variable be predicted, given the values of some others?” “Does the relationship conform to some theoretically-derived one?” “Do two samples conform to the same relationship?” Geographers have at times used regression analysis to provide answers to all of these questions, often with little realization of the assumptions of the technique or of alternative statistical procedures for addressing these questions.

Keywords

Unbiased Estimate Regression Slope Multivariate Statistical Model Inductive Generalization Mathematical Geology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

  1. Amerson, A. B., Jr.: 1975, ‘Species richness on the nondisturbed north-western Hawaiian Islands’, Ecology 56, 435–444.CrossRefGoogle Scholar
  2. Church, M. and D. M. Mark: 1980, ‘On size and scale in geomorphology’, Progress in Physical Geography 4, 342–390.CrossRefGoogle Scholar
  3. Dent, B. M.: 1935, ‘On observations of points connected by a linear relation’, Proc. Physical Soc. London 47, pf 1, 92–108.Google Scholar
  4. Gardner, V.: 1973, ‘Univariate distributional characteristics of some morphometric variables’, Geografiska Annaler Ser. A 54, 147–154.CrossRefGoogle Scholar
  5. Gould, S. J.: 1966, ‘Allometry and size in ontogeny and phylogeny’, Biological Review 41, 587–640.CrossRefGoogle Scholar
  6. Hauser, D. P.: 1974, ‘Some problems in the use of stepwise regression techniques in geographical research’, Canadian Geographer 18, 148–158.CrossRefGoogle Scholar
  7. Hecht, A.: 1974, ‘The journey-to-work distance in relation to the socioeconomic characteristics of workers’, Canadian Geographer 18, 367–378.CrossRefGoogle Scholar
  8. Jones, T. A.: 1979, ‘Fitting straight lines when both variables are subject to error: I. Maximum likelihood and least-squares estimation’, Mathematical Geology 11, 1–25.CrossRefGoogle Scholar
  9. Kendall, M. G. and A. Stuart: 1965, The Advanced Theory of Statistics, vol. 2, Hafner, New York.Google Scholar
  10. Kermack, K. A. and J. B. S. Haldane: 1950, ‘Organic correlation and allometry’, Biometrika 37, 30–41.Google Scholar
  11. Lindley, D. V.: 1947, ‘Regression lines and the linear functional relationship’, Journal of the Royal Statistical Society, Suppl. 9, 218–244.Google Scholar
  12. Mark, D. M. and M. Church: 1977, ‘On the misuse of regression in Earth Science’, Mathematical Geology 9, 63–75.CrossRefGoogle Scholar
  13. Mark, D. M. and T. K. Peucker: 1978, ‘Regression analysis and geographic models’, Canadian Geographer 22, 51–64.CrossRefGoogle Scholar
  14. Poole, M. A. and P. N. O’Farrell: 1971, ‘The assumptions of the linear regression model’, Transactions, Institute of British Geographers, 52, 145–156.CrossRefGoogle Scholar
  15. Stephenson, L. K.: 1972, ‘A note on the use of correlation and regression’, Unpublished paper presented to the Ohio Academy of Sciences, April, 1972.Google Scholar
  16. Wong, S. T.: 1963, ‘A multivariate statistical model for predicting mean annual flood in New England’, Annals, Association of American Geographers 53, 298–311.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1984

Authors and Affiliations

  • David M. Mark
    • 1
  1. 1.Dept. of GeographyState University of New York at BuffaloUSA

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