Logical Inference
An introduction to formal measurement theory.
Topics
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measurement theory
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scales of measurement
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meaningfulness
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data construction
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scaling
Handouts
- Borgatti. Introduction to measurement
theory [html]
- Borgatti. Notes on measurement. [html]
- Sarle. Measurement Theory: Frequently Asked Questions. [html]
- Wikipedia. Weight. [html]
- Trochim. Unidimensional scaling [php]
(skim -- will be covered in depth later)
Related Modules
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Readings
- Dawes, R.M. 1977. "Suppose we measured height
with rating scales instead of rulers."
Applied Psychological Measurement 1(2):267-273 [^pdf]
- S. S. Stevens (1946), Science 103, 677 [^pdf]
- Luce and Narens. Science. [^pdf]
- Luce. Meaningfulness and invariance. [^pdf]
- Zegers, F. E., & ten Berge, J. M. F. (1985). A
family of association coefficients for metric scales.
Psychometrika, 50(1), 17-24 [PDF]
(just skim)
Joke
Jesus was walking through the streets when he came to
a crowd of people getting ready to stone an adulteress. Jesus cried,
"Let he who is without sin cast the first stone." Suddenly a rock
whizzed by his head. Jesus turned and said "Mom?" |
Bibliography
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Bernard, H. R., P. J. Pelto, O. Werner, J. Boster, A. K. Romney,
A. Johnson, C. R. Ember, and A. Kasakoff. 1986. The construction of
primary data in cultural anthropology. Current Anthropology
27:382-395.
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D. H. Krantz, R. D. Luce, P.
Suppes, A. Tversky, 1971. Foundations of Measurement. (Academic Press, New
York, 1971)
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F. S. Roberts. 1979. Measurement
Theory. (Addison-Wesley, Reading, MA, 1979).
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L. Narens, Abstract Measurement
Theory (MIT Press, Cambridge, MA, 1985)
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Narens. Measurement, Theory of. [pdf]
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Stevens, S.S. 1951. Mathematics,
measurement and psychophysics. In
Handbook of Experimental Psychology, ed. S.S. Stevens, New York: Wiley.
-
Suppes, P. and Zinnes, J.L. 1963.
Basic measurement theory. In Handbook
of Mathematical Psychology, Vol. 1, ed. R.D. Luce, R.R. Bush and
E. Galanter, New York: Wiley.
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Luce, R. D., Krantz, D. H., Suppes, P., and Tversky, A. (1990),
Foundations of measurement, Vol. III: Representation, axiomatization, and
invariance, New York: Academic Press.
- Suppes, P., Krantz, D. H., Luce, R. D., and Tversky, A. (1989),
Foundations of measurement, Vol. II: Geometrical, threshold, and
probabilistic respresentations, New York: Academic Press.
- Hand, D.J. (1996), "Statistics and the theory of measurement," with
discussion, J. of the Royal Statistical Society, Series A, 159, 445-492 [^pdf]
Send mail to
sborgatti@uky.edu with
questions or comments about this web site. Copyright © 2008
by Steve Borgatti. Last modified:
08/11/09.
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