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Biometrika 1979 66(1):33-39; doi:10.1093/biomet/66.1.33
© 1979 by Biometrika Trust
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Some linear transformations for mixtures of binary and continuous variables, with particular reference to linear discriminant analysis

W. J. KRZANOWSKI

Department of Applied Statistics, University of Reading

Suitable linear transformations for preliminary data analysis are available when data consist solely of continuous variables or solely of binary variables. When mixtures of variables are observed, neither technique provides a satisfactory procedure. Some linear transformations for such data are therefore proposed in this paper. The aim of the transformations is to simplify structure. An additional motivation comes from the field of discriminant analysis, where it is hoped that dimensionality can be reduced and the transformed data will be amenable to the use of a simple linear discriminant function in place of more complicated procedures. A test for adequacy of such a function is given, together with some examples.

Key Words: Between-group analysis • Latent root and vector • Linear transformation • Location model


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