Recommended Statistics References for Discriminant Function Analysis
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Aldrich, J. H. & Nelson, F. D. (1989). Quantitative applications in the social sciences: Vol. 45. Linear probability, logit, and probit models. Beverly Hills, CA: Sage.

Altman, E. I. (1968). Financial ratios, discriminant analysis, and the prediction of corporate bankruptcy. Journal of Finance, 23, 589-609.

Altman, E. I., Avery, R. B., Eisenbeis, R. A., & Sinkey, J. F. (1981). Application of classification techniques in business, banking and finance. Greenwich, CT: JAI Press. 

Altman, E. I., Haldeman, R. G., & Narayanan, P. (1977). Zeta analysis: A new model to identify bankruptcy risk of corporations. Journal of Banking and Finance, 1, 29-51.

Anderson, T. W. (1984). An introduction to multivariate statistical analysis (2nd ed.). New York: Wiley.

Baringhaus, L., Danchke, R., & Henze, N. (1989). Recent and classical tests for normality- A comparative study, Communications of Statistics- Simulation, 18, 363-379.

Bartlett, M. S. (1937). Properties of sufficiency and statistical tests. In Proceedings of the Royal Society of London, A160, 268-282.

Box, G. E. P. (1949). A general distribution theory for a class of likelihood criteria. Biometrika, 36, 317-346.

Clarke, W. R., Lachenbruch, P. A., & Broffit, B. (1979). How nonnormality affects the quadratic discrimination function. Communications in Statistics- Theory and Methods, A8, 1285-1301.

Cooley, W.W. and Lohnes, P.R. (1971), Multivariate Data Analysis, New York: John Wiley & Sons, Inc.

Dillion, W. and Goldstein, M. (1984), Multivariate Analysis: Methods and Applications, New York: John Wiley & Sons, Inc.

Duarte Silva, A. P., & Stam, A. (1994). BestClass: A SAS-based software package of nonparametric methods for two-group classification (Working Paper No. 94-396). Terry College of Business, University of Georgia, Athens.

Dun & Bradstreet. (1976). The failure record. New York: Author.

Efron, B. (1975), "The Efficiency of Logistic Regression Compared to Normal Discriminant Analysis," Journal of the American Statistical Association, 70, 892 -898.

Efron, B. (1979). Bootstrap methods: Another look at the jackknife. Annals of Statistics, 7, 1-26.

Efron, B. (1983). Estimating the error rate of a prediction rule: Improvement on crossvalidation. Journal of American Statistical Association, 78, 316-331.

Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7, 179-188.

Fisher, R.A. (1936), "The Use of Multiple Measurements in Taxonomic Problems," Annals of Eugenics, 7, 179 -188.

Flury, B., & Reidwyl, H. (1988). Multivariate statistics: A practical approach. New York: Chapman & Hall.

Fukunaga, K., & Kessell, D. L. (1973). Nonparametric Bayes error estimation using unclassified samples. IEEE Transactions on Information Theory, 1T-19, 434-440.

Glick, N. (1978). Additive estimators for probabilities of correct classification. Patter Recognition, 10, 211-222.

Gnanadesikan, R. (1977), Methods for Statistical Data Analysis of Multivariate Observations, New York: John Wiley & Sons, Inc.

Habbema, J. D. F., & Hermans, J. (1977). selection of variables in Discriminant analysis by F-statistic and error rate. Technometrics, 19, 487-493.

Hamer, M. (1983). Failure prediction: Sensitivity of classification accuracy to alternative statistical methods and variable sets. Journal of Accounting and Public Policy, 2, 289-307. 

Hand, D. J. (1981). Discrimination and classification, New York: Wiley.

Hand, D. J. (1982). Kernel discriminant analysis, New York: Research Studies Press.

Hand, D.J. (1981), Discrimination and Classification, New York: John Wiley & Sons, Inc.

Hand, D.J. (1982), Kernel Discriminant Analysis, New York: Research Studies Press.

Hora, S. C., & Wilcox, J. B. (1982). Estimation of error rates in several-population discriminant analysis. Journal of Marketing Research, 19, 57-61.

Hora, S.C. and Wilcox, J.B. (1982), "Estimation of Error Rates in Several-Population Discriminant Analysis," Journal of Marketing Research, XIX, 57 -61.

Huberty, C.J. (1984). Issues in the use and interpretation of discriminant analysis. Psychological Bulletin, 95, 156-171.

Huberty, C.J., Wisenbaker, J. M., & Smith, J. C. (1987). Assessing predictive accuracy in discriminant analysis. Multivariate Behavioral Research, 22, 307-329.

Joachimsthaler, E. A., & Stam, A. (1990). Mathematical programming approaches for the classification problem in two-group discriminant analysis. Multivariate Behavioral Research, 25, 427-454.

Johnson, R. A., & Wichern, D. W. (1988). Applied multivariate statistical analysis (2nd ed.). Englewood Cliffs, NJ: Prentice Hall.

Kendall, M. G. (1957). A course in multivariate analysis. London: Griffin.

Klecka, W. R. (1980). Quantitative applications in the social sciences: Vol. 19. Discriminant analysis. Beverly Hills, CA: Sage.

Klecka, W.R. (1980), Discriminant Analysis, Sage University Paper Series on Quantitative Applications in the Social Sciences, 07-019. Beverly Hills, CA: Sage Publications.

Konishi, S., & Honda, M. (1990). Comparison of procedures for estimation of errors rates in discriminant analysis under nonormal populations. Journal of Statistical Computing and Simulation, 36, 105-115.

Koziol, J. A. (1986). Assessing  multivariate normality: A compendium. Communications in Statistics- Theory and Methods, 15, 2763-2783.

Kshirsagar, A.M. (1972), Multivariate Analysis, New York: Marcel Dekker, Inc.

Lachenbruch, P.A. (1967). An almost unbiased method of obtaining confidence intervals for the probability of misclassification in discriminant analysis. Biometrics, 23, 639-645.

Lachenbruch, P.A. (1975), Discriminant Analysis, New York: Hafner.

Lachenbruch, P.A. (1975). Discriminant analysis. New York: Hafner.

Lachenbruch, P.A. (1979), "Discriminant Analysis," Biometrics, 35, 69 -85.

Lachenbruch, P.A., Sneeringer, C. & Revo, L.T. (1973) Robustness of the linear and quadratic discriminant function to certain types of non-normality. Communications in Statistics, 1, 39-57.

Mahalanobis, P.C. (1936). On the generalized distance in statistics. Proceedings of the National Institute of Science of India, 12, 49-55.

Marks, S., & Dunn, O. J. (1974). Discriminant functions when covariance matrices are unequal. Journal of the American Statistical Association, 69, 555-559.

McGrath, J. J. (1960). Improving credit evaluation with a weighted application blank. Journal of Applied Psychology, 44, 325-328.

McKay, R. J., & Campbell, N. A (1982b). Variable selection techniques in discriminant analysis: I. Description. British Journal of Mathematical and Statistical Psychology, 35, 1-29.

McLachlan, G. J. (1992). Discriminant analysis and statistical patter recognition. New York: Wiley.

Morrison, D. F. (1990). Multivariate statistical methods (3rd ed.). New York: McGraw-Hill.

Neter, J., Wasserman, W., & Kutner, M. H. (1998). Applied linear regression models (2nd ed.). Homewood, IL: Irwin.

Neter, J., Wasserman, W., & Whitmore, G. A. (1988). Applied statistics (3rd ed.). Newton, MA: Allyn & Bacon.

Panel on Discriminant Analysis, Classification and Clustering. (1989). Discriminant analysis and clustering. Statistical Science, 4, 34-69.

Pindyck, R. S., & Rubinfeld, D. L. (1981). Ecometric models and economic forecasts (2nd ed.). New York: McGraw-Hill.

Porebski, O. R. (1966). Disriminatory and canonical analysis of technical college data. British Journal of Mathematical and Statistical Psychological, 19, 215-236.

Press, S.J. and Wilson, S. (1978), "Choosing Between Logistic Regression and Discriminant Analysis," Journal of the American Statistical Association, 73, 699 -705.

Ragsdale, C. T., & Stam, A. (1992). Introducing discriminant analysis to the business statistics curriculum. Decision Sciences, 23, 724-745.

Rulon, P.J., Tiedeman, D. V., Tatsuoka, M. M., & Langmuir, C. R. (1967). Multivariate statistics for personnel classification. New York: Wiley.

Shubin, H., Afifi, A., Rand, W. M., & Weil, m. H. (1968). Objective index of haemodynamic status for quantitation of severity and prognosis of shock complicating myocardial infarction. Cardiovascular Research, 2, 329.

Silverman, B.W. (1986), Density Estimation for Statistics and Data Analysis, New York: Chapman and Hall.

Smith, C. A. B. (1947). Some examples of discrimination. Annals of Eugenics, 13, 272-282.

Soltysik, R. C., & Yarnold, P.R. (1993). ODA 1.0: Optimal data analysis for DOS. Chicago: Optimal Data Analysis.

Sorum, M. J. (1972). estimating the expected and the optimal probabilities of misclassification. Technometrics, 13, 935-943.

Tatsuoka, M. M. (1988). Multivariate analysis techniques for educational and psychological research (2nd ed.). New York: Macmillan.

Tatsuoka, M.M. (1971), Multivariate Analysis, New York: John Wiley & Sons, Inc.

Walker, S. H., & Duncan, D. B. (1967). Estimation of the probability of an event as a function of several independent variables. Biometrika, 54, 167-179.

Wilks, S. S. (1932). Certain generalizations in the analysis of variance. Biometrika, 24, 471-494.

 

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