The Ordering of Multivariate Data

In spite of the lack of a natural basis for ordering multivariate data, we encounter an extension of univariate order concepts such as medians, extremes and ranges to the higher dimensional situation. Also, much multivariate theory, and method, exploits order properties in the data or model. We examine the role of ordering in these descriptive and methodological aspects of multivariate analysis by means of a four-fold classification of sub-ordering principles.

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