Order Analysis: An Inferential Model of Dimensional Analysis and Scaling

Author:

Krus David J.1

Affiliation:

1. Arizona State University

Abstract

Order analysis was proposed as a method for description of formal structures in multidimensional space. Its algorithm was derived using a combination of psychological measurement theory, formal logic theory, information theory and graph theory concepts. It suggests isomorphism between algebraic, geometric, logical, and cognitive structures. The model also provides for adjustment of its sensitivity to random variation with an elective degree of statistical confidence.

Publisher

SAGE Publications

Subject

Applied Mathematics,Applied Psychology,Developmental and Educational Psychology,Education

Reference17 articles.

1. Bellman, R. Control theory. In D. M. Messick (Ed.) Mathematical thinking in behavioral sciences. San Francisco: Freeman, 1968, 74-82.

2. A Basis for Scaling Qualitative Data

3. An Ordering Theoretic Method of Multidimensional Scaling of Items

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