Advertisement

Psychometrika

, Volume 28, Issue 1, pp 49–53 | Cite as

Some remarks on failure to meet assumptions in discriminant analyses

  • Richard S. Melton
Article

Abstract

The linear discriminant function and the generalized distance function, two special cases of discriminant technique, require multivariate normality and homogeneous variance-covariance matrices, and hence utilize only mean differences among groups. The more general methods can also utilize differences in variances and/or covariances. Tables are given showing the discriminatory value of differences in means, variances, and intercorrelations, taken singly. Equations which utilize all such differences are given for the normal multivariate distribution.

Keywords

Covariance Public Policy Discriminant Analysis Distance Function Statistical Theory 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Anderson, T. W. Classification by multivariate analysis.Psychometrika, 1951,16, 31–50.Google Scholar
  2. [2]
    Anderson, T. W.Introduction to multivariate statistical analysis. New York: Wiley, 1958.Google Scholar
  3. [3]
    Lehman, E. L.Theory of hypothesis testing. Berkeley: Univ. Calif. Press, 1949.Google Scholar
  4. [4]
    Lubin, A. Linear and nonlinear discriminating functions.Brit. J. Psychol., Statist. Sect., 1950,3, 90–104.Google Scholar
  5. [5]
    Neyman, J. and Pearson, E. S. On the use and interpretation of certain test criteria for purposes of statistical inference.Biometrika, 1928,20A, 175–240.Google Scholar
  6. [6]
    Rao, C. R.Advanced statistical methods in biometric research. New York: Wiley, 1952.Google Scholar
  7. [7]
    Rulon, P. J. Distinctions between discriminant analysis and regression analysis and a geometric interpretation of the discriminant function.Harvard Educ. Rev., 1951,21, 80–90.Google Scholar
  8. [8]
    Rulon, P. J.et al. The profile problem: a methodological study of the interpretation of multiple test scores. Cambridge, Mass.: Educational Research Corporation, 1954, Parts 1–10.Google Scholar
  9. [9]
    Tatsuoka, M. M. and Tiedeman, D. V. Discriminant analysis.Rev. Ed. Res., 1954,24, 402–420.Google Scholar
  10. [10]
    Von Mises, R. On the classification of observation data into distinct groups.Ann. math. Statist., 1945,16, 68–73.Google Scholar
  11. [11]
    Welch, B. L. Note on discriminant functions.Biometrika, 1939,31, 218–20.Google Scholar

Copyright information

© Psychometric Society 1963

Authors and Affiliations

  • Richard S. Melton

There are no affiliations available

Personalised recommendations