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Evelyn Fix, J. L. Hodges, Jr., Discriminatory Analysis. Nonparametric Discrimination: Consistency Properties, International Statistical Review / Revue Internationale de Statistique, Vol. 57, No. 3 (Dec., 1989), pp. 238-247
National Institutes of Health
Publishes on Advanced Statistical Methods and Models, Complex Network Analysis Techniques, Neural Networks and Applications. 23 papers and 4.9k citations.
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Evelyn Fix, J. L. Hodges, Jr., Discriminatory Analysis. Nonparametric Discrimination: Consistency Properties, International Statistical Review / Revue Internationale de Statistique, Vol. 57, No. 3 (Dec., 1989), pp. 238-247
A classification procedure is worked out for the following situations: Two large samples, one from each of two populations, have been observed. An individual of unknown origin is to be classified as belonging to the first population if the majority of a specified odd number of individuals closet to the individual in question belong to the first population. This method has optimum properties when the number of closest individuals is permitted to be very large. For certain cases involving multivariate normal distributions with the same covariance matrix, the probabilities of possible misclassification have been computed and compared with those of the discriminant function method.
Tables are presented from which exact values of the Wilcoxon distribution may be obtained when the smaller sample size $m$ does not exceed 12. The Edgeworth approximation to terms of order $1/m^2$ is given and its accuracy investigated.