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Original Articles

Discriminant Analysis: A Review of Recent Theoretical Contributions and Applications

Pages 367-378 | Published online: 09 Jun 2016

Literature Cited

  • Adelman, I. and C. T. Morris. “Performance Criteria for Evaluating Economic Development Potential: an Operational Approach,” Quarterly Journal of Economics, 82 (1968), pp. 260–80.
  • Adelman, I. and C. T. Morris. “An Econometric Model of Socio-Economic and Political Change in Underdeveloped Countries,” American Economic Review, 8 (1968), pp. 1184–218.
  • Anderson, J. A. “Constrained Discrimination between k Populations,” Journal of the Royal Statistical Society, Ser. B, 31 (1969), pp. 123–39.
  • Anderson, J. A. and J. A. Boyle. “Computer Diagnosis: Statistical Aspects,” British Medical Bulletin, 24 (1968), pp. 230–5.
  • Anderson, T. W. Introduction to Multivariate Statistical Analysis. New York: John Wiley and Sons, 1958.
  • Anderson, T. W. and R. R. Bahadur. “Classification into Two Multivariate Normal Distributions with Different Covariance Matrices,” The Annals of Mathematical Statistics, 33 (1962), pp. 420–31.
  • Barnard, M. M. “The Secular Variations of Skull Characteristics in Four Series of Egyptian Skulls,” Annals of Eugenics, 6 (1935), pp. 352–71.
  • Bartlett, M. S. “The Vector Representation of a Sample,” Proceedings, Cambridge Philosophical Society, 30 (1934), pp. 327–40.
  • Bartlett, M. S. “Further Aspects of the Theory of Multiple Regression,” Proceedings, Cambridge Philosophical Society, 34 (1938), pp. 33–40.
  • Bartlett, M. S. and N. W. Please. “Discrimination in the Case of Zero Mean Differences,” Biometrika, 50 (1963), pp. 17–21.
  • Berry, B. J. L. “Identification of Declining Regions: an Empirical Study of the Dimensions of Rural Poverty,” Areas of Economic Stress in Canada. Edited by R. S. Thoman and W. D. Wood. Kingston: Queen's University, 1965.
  • Blood, D. M. and C. B. Baker. “Some Problems of Linear Discrimination,” Journal of Farm Economics, 40 (1958), pp. 674–83.
  • Brown, W. J. “Factors Influencing Installment Loan Repayment Tardiness at Commercial Banks,” Proceedings of the Business and Economic Statistics Section, American Statistical Association, (1967), pp. 469–72.
  • Bucklin, L. P. Shopping Patterns in an Urban Area. Berkeley: Institute of Business and Economic Research, University of California, 1967.
  • Burnaby, T. P. “Growth-Invariant Discriminant Functions and Generalized Distances,” Biometrics, 22 (1966), pp. 96–110.
  • Casetti, E. “Multiple Discriminant Functions,” Technical Report No. 11, ONR Task No. 389–135, Geography Branch, 1964.
  • Casetti, E. “Classificatory and Regional Analysis by Discriminant Iterations,” Technical Report No. 12, ONR Task No. 389–135, Geography Branch, 1964.
  • Chaddha, R. L. and L. F. Marcus. “An Empirical Comparison of Distance Statistics for Populations with Unequal Covariance Matrices,” Biometrics, 24 (1968), pp. 683–94.
  • Cherukupalle, N. devi. Demographic Correlates of Urban Size: a Discriminant Analysis, Unpublished Ph.D. dissertation, Harvard University, 1967.
  • Cochran, W. G. “On the Performance of the Linear Discriminant Function,” Bulletin de L'Institut Internationale de Statistique, 39 (1962), pp. 435–47.
  • Cooley, W. W. and P. R. Lohnes. Multivariate Procedures for the Behavioral Sciences. New York: John Wiley and Sons, 1962.
  • Curry, L. “Quantitative Geography,” The Canadian Geographer, 11 (1967), pp. 265–79.
  • Demirmen, F. “Multivariate Procedures and Fortran IV Program for Evaluation and Improvement of Classifications,” Computer Contributions 31, State Geological Survey, University of Kansas, 1969.
  • Dunn, J. O. and P. D. Varady. “Probabilities of Correct Classification in Discriminant Analysis,” Biometrics, 22 (1966), pp. 908–24.
  • Ellis, R. H. “A Behavioral Residential Location Model,” Research Report, Transportation Center, Northwestern University, 1966.
  • Fisher, R. A. “The Use of Multiple Measurements in Taxonomic Problems,” Annals of Eugenics, 7 (1936), pp. 179–88.
  • Fisher, R. A. “The Statistical Utilization of Multiple Measurements,” Annals of Eugenics, 8 (1938), pp. 376–86.
  • Fisher, R. A. “The Precision of Discriminant Functions,” Annals of Eugenics, 10 (1940), pp. 422–9.
  • Friedman, H. P. and J. Rubin. “On Some Invariant Criteria for Grouping Data,” Journal of the American Statistical Association, 62 (1967), pp. 1159–78.
  • Gales, K. “Discriminant Functions of Socio-Economic Class,” Applied Statistics, 5 (1965), pp. 123–32.
  • Gilbert, E. S. “On Discrimination Using Qualitative Variables,” Journal of the American Statistical Association, 63 (1968), pp. 1399–412.
  • Gilbert, E. S. “The Effect of Unequal Variance-Covariance Matrices on Fisher's Linear Discriminant Function,” Biometrics, 25 (1969), pp. 505–15.
  • Greenburg, H. J. and A. G. Konheim. “Linear and Non-Linear Methods in Pattern Classification,” IBM Journal of Research and Development, 8 (1964), pp. 299–307.
  • Han, Chien-Pai. “A Note on Discrimination in the Case of Unequal Covariance Matrices,” Biometrika, 55 (1968), pp. 586–7.
  • Harvey, D. Explanation in Geography. London: E. Arnold, 1969.
  • Highleyman, W. H. “Linear Decision Functions, with Application to Pattern Recognition,” Proceedings of the IRE, (1962), pp. 1501–14.
  • Hills, M. “Allocation Rules and Their Error Rates,” Journal of the Royal Statistical Society, Ser. B, 28 (1966), pp. 1–31.
  • Hills, M. “Discrimination and Allocation with Discrete Data,” Applied Statistics, 16 (1967), pp. 237–50.
  • Hodges, J. L. “Discriminatory Analysis I. Survey,” Report No. 1, Proj. No. 21-49-004, USAF School of Aviation Medicine, Randolph AFB, Texas, 1955.
  • Hodges, J. L. and E. Fix. “Nonparametric Discrimination: Consistency Properties,” Report No. 4, Proj. No. 21-49-004, USAF School of Aviation Medicine, Randolph AFB, Texas, 1951.
  • Horton, F. E. and H. L. McConnell. “Certain Geographic Aspects and Trends in the Composition of the Middlewestern Rural Economy,” Discussion Paper No. 10, Iowa Department of Geography, Iowa City, 1968.
  • Hotelling, H. “The Generalization of Student's Ratio,” Annals of Mathematical Statistics, 2 (1931), pp. 360–78.
  • Hotelling, H. “The Most Predictable Criterion,” Journal Educational Psychology, 26 (1935), pp. 139–42.
  • Hotelling, H. “A Generalized T. Test and Measure of Multivariate Dispersion,” Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability. Berkeley: University of California Press, (1950), pp. 23–41.
  • Hsu, P. L. “On the Generalized Analysis of Variance,” Biometrika, 31 (1940), pp. 221–37.
  • Kaiser, E. J., et al. “Predicting the Behavior of Predevelopment Landowners on the Urban Fringe,” Journal of American Institute of Planners, 34 (1968), pp. 328–33.
  • Kendall, M. G. A Course in Multivariate Analysis. London: C. Griffin and Co., 1957.
  • Kendall, M. G. “Discrimination and Classification,” Multivariate Analysis. Edited by P. R. Krishnaiah. New York: Academic Press, 1966, 165–85.
  • King, L. J. “Discriminatory Analysis as a Tool for Geographic Research,” Unpublished paper presented at West Lakes Division, Association of American Geographers, Minneapolis, 1959.
  • King, L. J. “Discriminatory Analysis of Urban Growth Patterns in Ontario and Quebec, 1951–1961,” Annals of the Association of American Geographers, 57 (1967), pp. 566–78.
  • King, L. J. Statistical Analysis in Geography. Englewood Cliffs: Prentice-Hall, 1969.
  • Lachenbruch, P. A. “An Almost Unbiased Method of Obtaining Confidence Intervals for the Probability of Misclassification in Discriminant Analysis,” Biometrics, 23 (1967), pp. 639–45.
  • Lachenbruch, P. A. “On Expected Probabilities of Misclassification in Discriminant Analysis, Necessary Sample Size, and a Relation with the Multiple Correlation Coefficient,” Biometrics, 24 (1968), pp. 823–34.
  • Lachenbruch, P. A. and M. R. Mickey. “Estimation of Error Rates in Discriminant Analysis,” Technometrics, 10 (1968), pp. 1–10.
  • Lansing, J. B. and D. M. Blood, “A Cross-Section Analysis of Non-Business Air Travel,” Journal of the American Statistical Association, 53 (1958), pp. 928–47.
  • Mahalanobis, P. C. “On the Generalized Distance in Statistics,” Proceedings of the National Institute of Science (India), 12 (1936), pp. 49–55.
  • Mises, R. von. “On the Classification of Observation Data into Distinct Groups,” Annals of Mathematical Statistics, 16 (1945), pp. 68–73.
  • Morant, G. M. “Studies of Palaeolithic Man, Part I: the Chancelade Skull and its Relation to the Modern Eskimo Skull,” Annals of Eugenics, 1 (1926), pp. 257–76.
  • Morant, G. M. “The Use of Statistical Methods in the Investigation of Problems of Classification in Anthropology,” Biometrika, 31 (1939), pp. 72–98.
  • Morrison, D. F. Multivariate Statistical Methods. New York: McGraw-Hill, 1967.
  • Morrison, D. G. “On the Interpretation of Discriminant Analysis,” Journal of Marketing Research, 6 (1969), pp. 156–63.
  • Neyman, J. and E. S. Pearson. “On the Problem of the Most Efficient Tests of Statistical Hypotheses,” Philosophical Transactions of the Royal Society, Ser. A, 231 (1933), pp. 289–337.
  • Neyman, J. and E. S. Pearson. “Contributions to the Theory of Testing Statistical Hypotheses I,” Statistical Research Memoirs, 1 (1936), 1–37.
  • Olsson, G. and S. Gale. “Spatial Theory and Human Behavior,” Papers, Regional Science Association, 21 (1968), pp. 229–42.
  • Porebski, O. R. “On the Interrelated Nature of the Multivariate Statistics Used in Discriminatory Analysis,” British Journal of Mathematical and Statistical Psychology, 19 (1966), pp. 197–214.
  • Porebski, O. R. “Discriminatory and Canonical Analysis of Technical College Data,” British Journal of Mathematical and Statistical Psychology, 19 (1966), pp. 215–36.
  • Rao, C. R. Advanced Statistical Methods in Biometric Research. New York: John Wiley and Sons, 1952.
  • Rao, C. R. Linear Statistical Inference and Its Applications. New York: John Wiley and Sons, 1965.
  • Rao, C. R. and P. Slater. “Multivariate Analysis Applied to Differences Between Neurotic Groups,” British Journal of Psychology (Statistics Section), 2 (1949), pp. 17–29.
  • Rao, M. M. “Discriminant Analysis,” Annals, Tokyo Institute Statistical Mathematics, 15 (1963), pp. 11–24.
  • Reyment, R. A. “Homogeneity of Covariance Matrices in Relation to Generalized Distances and Discriminant Functions,” Computer Contributions 7, State Geological Survey, University of Kansas, 1966.
  • Rulon, P. J., et al. Multivariate Statistics for Personnel Classification. New York: John Wiley and Sons, 1967.
  • Sebestyen, G. S. Decision-Making in Pattern Recognition. New York: Macmillan, 1962.
  • Smith, C. A. B. “Some Examples of Discrimination,” Annals of Eugenics, 13 (1947), pp. 272–82.
  • Spence, N. A. and P. J. Taylor. “Quantitative Methods in Regional Taxonomy,” Paper presented at IGU Commission on Quantitative Methods Conference, London, 1969.
  • Thompson, J. H., et al. “Toward a Geography of Economic Health: the Case of New York State,” Annals of the Association of American Geographers, 52 (1962), pp. 1–20.
  • Tintner, G. “Some Applications of Multivariate Analysis to Economic Data,” Journal American Statistical Association, 41 (1946), pp. 472–500.
  • Wagle, B. “Discussion on Mr. Hills' Paper,” Journal of the Royal Statistical Society, Ser. B, 28 (1966), p. 24.
  • Wald, A. Statistical Decision Functions. New York: John Wiley and Sons, 1950.
  • Warner, S. L. Stochastic Choice of Mode in Urban Travel: a Study in Binary Choice. Evanston: Northwestern University Press, 1962.
  • Weiner, J. M. and J. O. Dunn. “Elimination of Variates in Linear Discrimination Problems,” Biometrics, 22 (1966), pp. 268–75.
  • Welch, B. L. “Note on Discriminant Functions,” Biometrika, 31 (1939), pp. 218–20.
  • Wilks, S. S. “Certain Generalizations in the Analysis of Variance,” Biometrika, 24 (1932), pp. 471–94.

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