Conditions Equivalent to Unit Representations of Ordered Relational Structures.

  title={Conditions Equivalent to Unit Representations of Ordered Relational Structures.},
  author={R. Duncan Luce},
  journal={Journal of mathematical psychology},
  volume={45 1},
  • R. Luce
  • Published 1 February 2001
  • Mathematics, Medicine
  • Journal of mathematical psychology
This paper studies several concepts about subgroups of automorphisms of linearly ordered relational structures. In particular, it focuses on conditions that are equivalent to the translations (automorphisms with no fixed points plus the identity) forming a homogeneous, Archimedean ordered group under the asymptotic order. For the automorphisms of an ordered relational structure, these properties are equivalent to the structure having a numerical representation whose scale type lies between, but… 
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Measurement, Representational Theory of
This article is reproduced from the previous edition, volume 14, pp. 9442–9448, © 2001, Elsevier Ltd.
Scales of Measurement and Choice of Statistical Methods
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    International Encyclopedia of Statistical Science
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