Abstract
The present paper reports on a novel technique, based on linear goal programming, as an alternative to classical discriminant analysis. Using real data from a sales force motivation study, the authors show that the linear programming formulation can be a simple and accurate method in classifying entities to respective groups. The technique is compared to Fisher’s discriminant function analysis.
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References
Bajgier, Steve M., "An Experimental Comparision of Statistical and Linear Programming Approaches to the Discriminant Problem" Decision Sciences. 13 (1982).
Becherer, Richard C, Morgan, Fred M., and Richard, Lawrence M. "The Job Characteristics of Industrial Salespersons: Relationship to Motivation and Satisfaction" Journal of Marketing, 46 (Fall, 1982).
Cooley, William W. and Paul R. Lohnes, Multivariate Data Analysis, John Wiley & Sons: New York, 1971.
Crask, Melvin R. and Perreault, William D. Jr., "Validation of Discriminant Analysis in Marketing" Journal of Marketing Research, 14 (February, 1977).
Dillon, William R. and Goldstein, Matthew and Schiffman, Leon G., "Appropriateness of Linear Discriminant and Multinomial Classification Analysis in Marketing Research" Journal of Marketing Research, 15 (February, 1978).
Dillon, William R., "The Performance of the Linear Discriminant Function in Nonoptimal Situations and the Estimation of Classification Error Rates: A Review of Recent Findings" 16 (August, 1979).
Freed, Ned and Glover, Fred., "A Linear Programming Approach to the Discriminant Problem" Decision Sciences, 12(1981).
Freed, Ned and Glover, Fred., "Simple but Powerful Goal Programming Models for Discriminant Problems" European Journal of Operational Research, 7(1981).
Freed, Ned and Glover, Fred., "Linear Programming and Statistical Discrimination-the LP Side." Decision Sciences, 13 (1982).
Gaither, N., and Glorfeld, W., "On Using Linear Programming in Discriminant Problems "Decision Sciences, 13(1982).
Hackman, J.R. and Oldham, Greg., "The Job Diagnostic Survey: An Instrument for Diagnosing the Motivational Potential of Jobs" New Haven, Ct: Yale University; Department of Administrative Sciences, Technical Report No. 4(1974).
Harris, R.J. A Prime of Multivariate Statistics, Academic Press: New York, 1975.
Hair, Joseph F., Anderson, Rolph E., Tatham, Ronald L. and Grablowsky Bernie J.:, Multivariate Data Analysis. Tulsa, Oklahoma: The Petroleum Publishing Company, 1979.
Nie, Norman H., Hull, Hadlai, C. Jenkins, Jean G. Steinbrenner, Karin, and Bent, Dale H., Statistical Package for the Social Sciences, sec. ed. McGraw Hill. 1975.
Pierce, Jon L, and Randall B. Dunham., "The Measurement of Perceived Job Characteristics: The JDS versus the JCI" Academy of Management Journal, 21(1978).
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Joachimsthaler, E.A. (2015). Linear Programming as an Alternative to Standard Discriminant Function Analysis. In: Lindquist, J.D. (eds) Proceedings of the 1984 Academy of Marketing Science (AMS) Annual Conference. Developments in Marketing Science: Proceedings of the Academy of Marketing Science. Springer, Cham. https://doi.org/10.1007/978-3-319-16973-6_99
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DOI: https://doi.org/10.1007/978-3-319-16973-6_99
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16972-9
Online ISBN: 978-3-319-16973-6
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