Measurement Theory: Volume 7
With Applications to Decisionmaking, Utility, and the Social Sciences

This book provides an introduction to measurement theory for non-specialists.

Fred S. Roberts (Author)

9780521102438, Cambridge University Press

Paperback / softback, published 12 March 2009

444 pages
23.4 x 2.3 x 15.6 cm, 0.62 kg

'… can be used as a textbook for mathematicians who are interested in applications of algebraic functions theory.' Zentralblatt MATH

This book provides an introduction to measurement theory for non-specialists and puts measurement in the social and behavioural sciences on a firm mathematical foundation. Results are applied to such topics as measurement of utility, psychophysical scaling and decision-making about pollution, energy, transportation and health. The results and questions presented should be of interest to both students and practising mathematicians since the author sets forth an area of mathematics unfamiliar to most mathematicians, but which has many potentially significant applications.

Introduction
1. Relations
2. Fundamental Measurement, Derived Measurement, and the Uniqueness Problem
3. Three Representation Problems: Ordinal, Extensive, and Difference Measurement
4. Applications to Psychophysical Scaling
5. Project Structures
6. Nontransitive Indifference, Probabilistic Consistency, and Measurement without Numbers
7. Decisionmaking under Risk or Uncertainty
8. Subjective Probability.

Subject Areas: Probability & statistics [PBT]