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Syllabus
Schedule
Professor
Books
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Data
FYA

Measurement and Data


An introduction to the measurement and construction of data. As you may realize, data is not simply "collected." It is constructed. And data can be constructed from data, as when we build indices and multi-item scales.

Also in this class will be an introduction to such concepts as independent variables, dependent variables, control variables, mediator variables, moderator variables, and so on.

 

Topics

  • Cases and variables

  • Dependent and independent vars

  • Preview of variables used as controls, mediators, moderators, etc.

  • Scales of measurement

  • Measurement validity

  • Vectors and matrices

  • Standardizing data

  • brief mention of multi-item scaling, such as thurstone, guttman, likert, magnitude

Handouts

Articles

  • Dawes, R.M. 1977. "Suppose we measured height with rating scales instead of rulers." Applied Psycho-logical Measurement 1(2):267-273 [^pdf]
 

Optional

  • Wikipedia. Weight. [html]
  • Trochim. Unidimensional scaling [php] (skim -- will be covered in depth later)
  • Sarle. Measurement Theory: Frequently Asked Questions. [html]

Quotations

  • “after a century of theory and research on psychological test scores, for most test scores we still have no idea whether they really measure something, or are no more than relatively arbitrary summations of item responses”

    -- Borsboom, 2005

Related Modules

 

Bibliography


 

Formal measurement theory

  • Stevens, S.S. 1951. Mathematics, measurement and psychophysics. In
    Handbook of Experimental Psychology, ed. S.S. Stevens, New York: Wiley. 

  • S. S. Stevens (1946), Science 103, 677 [^pdf]
  • Luce and Narens. Science. [^pdf]
  • Luce. Meaningfulness and invariance. [^pdf]
  • D. H. Krantz, R. D. Luce, P. Suppes, A. Tversky, 1971. Foundations of Measurement. (Academic Press, New York, 1971)

  • F. S. Roberts. 1979. Measurement Theory. (Addison-Wesley, Reading, MA, 1979).

  • L. Narens, Abstract Measurement Theory (MIT Press, Cambridge, MA, 1985)

  • Narens. Measurement, Theory of. [pdf]

  • 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.

  • 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.

Statistics and Measurement

  • Hand, D.J. (1996), "Statistics and the theory of measurement," with discussion, J. of the Royal Statistical Society, Series A, 159, 445-492 [^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)

Arguments against measurement level in statistics

  • Lord, F.M. (1953), "On the Statistical Treatment of Football Numbers," American Psychologist, 8, 750-751
  • Velleman, P.F., and Wilkinson, L. (1993), "Nominal, Ordinal, Interval, and Ratio Typologies Are Misleading," The American Statistician, 47, 65-72.

On data construction

  • 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.

Send mail to sborgatti@uky.edu with questions or comments about this web site. Copyright © 2008 by Steve Borgatti. Last modified: 10/08/09.

 

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