Distance between populations using mixed continuous and categorical variables

SUMMARY A general form of the location model is considered for mixed continuous and categorical variables observed in a number of different populations, and some special cases of practical interest are cited. The distance between any two populations is derived for each of these models. Estimation of parameters in these distance measures is discussed, and the methods are illustrated by application to previously published data.

[1]  P. Mahalanobis.  On the generalized distance in statistics , 1936 .

[2]  Calyampudi R. Rao.  On the distance between two populations , 1949 .

[3]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[4]  L. D. Sanghvi.  Comparison of genetical and morphological methods for a study of biological differences. , 1953, American journal of physical anthropology.

[5]  K. Matusita.  Decision rule, based on the distance, for the classification problem , 1956 .

[6]  Ingram Olkin,et al.  Multivariate Correlation Models with Mixed Discrete and Continuous Variables , 1961 .

[7]  K. Matusita.  Distance and decision rules , 1964 .

[8]  J. Gower.  Some distance properties of latent root and vector methods used in multivariate analysis , 1966 .

[9]  S. M. Ali,et al.  A General Class of Coefficients of Divergence of One Distribution from Another , 1966 .

[10]  K. Matusita.  Classification based on distance in multivariate Gaussian cases , 1967 .

[11]  V. Balakrishnan,et al.  DISTANCE BETWEEN POPULATIONS ON THE BASIS OF ATTRIBUTE DATA , 1968 .

[12]  A. A. Afifi,et al.  Multivariate Two Sample Tests with Dichotomous and Continuous Variables. I. The Location Model , 1969 .

[13]  T. Kurczynski,et al.  Generalized Distance and Discrete Variables , 1970 .

[14]  A. Edwards.  Distances between populations on the basis of gene frequencies. , 1971, Biometrics.

[15]  K. Matusita.  DISCRIMINATION AND THE AFFINITY OF DISTRIBUTIONS , 1973 .

[16]  W. R. Buckland,et al.  Distributions in Statistics: Continuous Multivariate Distributions , 1973 .

[17]  Wojtek J. Krzanowski,et al.  Discrimination and Classification Using Both Binary and Continuous Variables , 1975 .

[18]  W J Krzanowski,et al.  Mixtures of continuous and categorical variables in discriminant analysis. , 1980, Biometrics.

[19]  Wojtek J. Krzanowski,et al.  Mixtures of Continuous and Categorical Variables in Discriminant Analysis: A Hypothesis-Testing Approach , 1982 .