Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-15T08:38:44.757Z Has data issue: false hasContentIssue false

On the Financial Application of Discriminant Analysis: Comment

Published online by Cambridge University Press:  06 April 2009

Extract

In a timely, comprehensive article in this journal, Joy and Tollefson (J & T hereafter) treated design and interpretation problems for linear multiple discriminant analysis (LMDA). Although the article is generally correct in treating a complex topic, it has two problems:

1. The (widely-used) split-sample validation technique that J & T used is an inappropriate method for establishing the efficacy of the estimated discriminant function.

2. J & T reach erroneous conclusions on the correctness of two methods for assessing the discriminatory power of individual variables.

This comment addresses these two problems.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1978

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Altman, E. I.Financial Ratios, Discriminant Analysis, and the Prediction of Corporate Bankruptcy.” Journal of Finance (09 1968), pp. 589609.CrossRefGoogle Scholar
[2]Anderson, T. W.An Introduction of Multivariate Statistical Analysis.New York: John Wiley & Sons, Inc. (1958).Google Scholar
[3]Cochran, W. G.; On the Performance of the Linear Discriminant Function. Technometrics (05 1964), pp. 179190.CrossRefGoogle Scholar
[4]Eisenbeis, R. A., and Avery, R. B..Discriminant Analysis and Classification; Procedures.Lexington, Mass.: Lexington Books, D.C. Heath S Co. (1972).Google Scholar
[5]Frank, R. E.; Massey, W. F.; and Morrison, D. G.. “Bias in Multiple Discriminant Analysis.” Journal of Marketing Research (08 1965), pp.250258.Google Scholar
[6]Joy, O. M., and Tollefson, J. O.. “On the Financial Applications of Discriminant Analysis.” Journal of Financial and Quantitative Analysis (12 1975), pp. 723739.CrossRefGoogle Scholar
[7]Kendall, M. G., and Stuart, A.. The Advanced Theory of Statistics, Vol. 3, 2nd ed. New York:Hafner Publishing Co.(1968).Google Scholar
[8]Lachenbruch, P. A. “An Almost Unbiased Method of Obtaining Confidence Intervals for the Probability of Misclassification in Discriminant Analysis.” Biometrics (12 1967), pp. 639645.Google Scholar
[9]Lachenbruch, P. A.. “On Expected Probabilities of Misclassification in Discriminant Analysis, Necessary Sample Size, and a Relation with the Multiple Correlation Coefficient.” Biometrics (12 1968), pp. 823833.Google Scholar
[10]Lachenbruch, P. A., and Mickey, M. R.. “Estimation of Error Rates in Discriminant Analysis.” Technometrics (02 1968), pp. 111.CrossRefGoogle Scholar
[11]Morrison, D. F.Multivariate Statistical Methods, 2nd ed.New York: McGraw-Hill Book Co. (1976).Google Scholar
[12]Morrison, D. G.On the Interpretation of Discriminant Analysis.′ Journal of Marketing Research (05 1969), pp. 156163.Google Scholar
[13]Nie, N. H. et al. SPSS: Statistical Package for the Social Sciences, 2nd ed.New York: McGraw-Hill Book Co. (1975).Google Scholar
[14]Scott, E. “A Clarifying Note on the Application and Interpretation of Discriminant Analysis.” Unpublished Working Paper, College of Business, The Florida State University (1976).Google Scholar