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Multidimensional scale types and invariant multivariate statistics.

Ching-Yuan Chiang
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Abstract

This paper proposes an extension of the definition of one-dimensional ordinal, interval, ratio, difference and absolute scales to the multidimensional case. The connection between measurement structures and statistical structures suggested in a previous paper is also extended to the multivariate case, and examples of invariance properties of multivariate functions and statistics are discussed.

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Ching-Yuan Chiang. 2005. Multidimensional scale types and invariant multivariate statistics.. https://doi.org/10.1348/000711005x38717

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