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Original Articles

Stevens's theory of scales of measurement and its place in modern psychology

Pages 99-104 | Accepted 01 Aug 2002, Published online: 26 May 2010

References

  • Birkhoff, G., and MacLane, S., (1965). A survey of modern algebra. New York. (1965).
  • Boring, E., (1920). The logic of the normal law of error in mental measurement, American Journal of Psychology 31 ((1920)), pp. 1–33.
  • Campbell, N.R., (1920). Physics, the elements. Cambridge. (1920).
  • Campbell, N.R., (1938). "Measurement and its importance for philosophy". In: Aristotelian Society supplementary vol. 17. London. (1938). p. pp. 121–151.
  • Campbell, N.R., (1940). Physics and psychology, Advancement of Science 1 ((1940)), pp. 347–348.
  • Cliff, N., (1992). Abstract measurement theory and the revolution that never happened, Psychological Science 3 ((1992)), pp. 186–190.
  • Cliff, N., (1996). Ordinal methods for behavioral data analysis. Mahwah, NJ. (1996).
  • Coombs, C.H., (1956). The scale grid: Some interrelations of data models, Psychometrika 21 ((1956)), pp. 313–329.
  • Coombs, C.H., (1960). A theory of data, Psychological Review 67 ((1960)), pp. 143–159.
  • Coombs, C.H., (1964). A theory of data. New York. (1964).
  • Cronbach, L.J., and Gleser, G.C., (1957). Psychological tests and personnel decisions. Urbana. (1957).
  • Embretson, S.E., and Hershberger, S.L., (1999). The new rules of measurement: What every psychologist and educator should know. Mahwah, NJ. (1999).
  • Guilford, J.P., (1954). Psychometric methods. New York. (1954).
  • Helmholtz, H., (1996). "Numbering and measuring from an epistemological viewpoint". In: From Kant to Hilbert: A sourcebook in the foundations of mathematics: Vol. 2. Oxford. (1996). p. pp. 727–752, In W. Ewald (Ed.), (Original work published 1887).
  • Hölder, O., (1901). Die Axiome der Quantität und die Lehre vom Mass, Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse 53 ((1901)), pp. 1–46.
  • Johnson, H.M., (1936). Pseudo-mathematics in the social sciences, American Journal of Psychology 48 ((1936)), pp. 342–351.
  • Karabatsos, G., (2001). The Rasch model, additive conjoint measurement, and new models of probabilistic measurement theory, Applied Measurement 2 ((2001)), pp. 389–423.
  • Karabatsos, G., (2001). A critique of Rasch residual fit statistics, Journal of Applied Measurement 1 ((2001)), pp. 152–176.
  • Keats, J.A., (1967). Test theory, Annual Review of Psychology 18 ((1967)), pp. 217–238.
  • Kerlinger, F.N., (1964). Foundations of behavioral research: Educational and psychological inquiry. New York. (1964).
  • Kerlinger, F.N., and Lee, H.B., (2000). Foundations of behavioral research. Orlando, FL. (2000).
  • Kline, P., (2000). A psychometrics primer. London. (2000).
  • Krantz, D.H., Luce, R.D., Suppes, P., and Tversky, A., (1971). Foundations of measurement: Vol. 1. New York. (1971).
  • Lehman, R.S., (1991). Statistics and research design in the behavioral sciences. Belmont, CA. (1991).
  • Lord, F.M., and Novick, M.R., (1968). Statistical theories of mental test scores. Reading, MA. (1968).
  • Luce, R.D., Krantz, D.H., Suppes, P., and Tversky, A., (1990). Foundations of measurement: Vol. 3. San Diego. (1990).
  • Luce, R.D., and Tukey, J.W., (1964). Similtaneous conjoint measurement: A new type of fundamental measurement, Journal of Mathematical Psychology 1 ((1964)), pp. 1–27.
  • Michell, J., (1986). Measurement scales and statistics: A clash of paradigms, Psychological Bulletin 100 ((1986)), pp. 398–407.
  • Michell, J., (1990). An introduction to the logic of psychological measurement. Hillsdale, NJ. (1990).
  • Michell, J., (1997). Quantitative science and the definition of measurement in psychology, British Journal of Psychology 88 ((1997)), pp. 355–383.
  • Michell, J., (1999). Measurement in psychology: Critical history of a methodological concept. Cambridge. (1999).
  • Michell, J., (2000). Normal science, pathological science and psychometrics, Theory and Psychology 10 ((2000)), pp. 639–667.
  • Michell, J., (2002, April). Conjoint measurement and the Rasch model: Quantitative versus ordinal structure. (2002, April), Paper presented at the International Objective Measurement Workshop, New Orleans, LA, USA.
  • Michell, J., and Ernst, C., (1996). The axioms of quantity and the theory of measurement, Part I. An English translation of Hölder (1901), Part I, Journal of Mathematical Psychology 40 ((1996)), pp. 235–252.
  • Michell, J., and Ernst, C., (1997). The axioms of quantity and the theory of measurement, Part II. An English translation of Hölder (1901), Part II, Journal of Mathematical Psychology 41 ((1997)), pp. 345–356.
  • Narens, L., (1985). Abstract measurement theory. Cambridge, MA. (1985).
  • Narens, L., (2002). Theories of meaningfulness. Mahwah, NJ. (2002).
  • Narens, L., and Luce, R.D., (1986). Measurement: the theory of numerical assignments, Psychological Bulletin 99 ((1986)), pp. 166–180.
  • Newman, E.B., (1974). "On the origin of ‘scales of measurement". In: Sensation and measurement: Papers in honor of S.S. Stevens. Dordrecht. (1974). p. pp. 137–145, In H. R. Moskowitz, B. Scharf, & J.C. Stevens (Eds.).
  • Niederée, R., (1994). There is more to measurement than just measurement: Measurement theory, symmetry, and substantive theorizing. A discussion of basic issues in the theory of measurement, Journal of Mathematical Psychology 38 ((1994)), pp. 527–594.
  • Nunnally, J.C., (1967). Psychometric theory. New York. (1967).
  • Perline, R., Wright, B.D., and Wainer, H., (1979). The Rasch model as additive conjoint measurement, Applied Psychological Measurement 3 ((1979)), pp. 237–255.
  • Pfanzagl, J., (1968). Theory of measurement. Würzburg. (1968).
  • Rasch, G., (1960). Probabilistic models for some intelligence and attainment tests. Chicago. (1960).
  • Russell, B., (1903). Principles of mathematics. Cambridge. (1903).
  • Scheiblechner, H., (1995). Isotonic ordinal probabilistic models (ISOP), Psychometrika 60 ((1995)), pp. 281–304.
  • Scheiblechner, H., (1999). Additive conjoint isotonic probabilistic models (ADISOP), Psychometrika 64 ((1999)), pp. 295–316.
  • Schorske, C.E., (1997). "The new rigorism in the human sciences, 1940-1960". In: American academic culture in transformation: Fifty years, four disciplines. Princeton. (1997). p. pp. 309–329, In T. Bender & C.E. Schorske (Eds.).
  • Stevens, S.S., (1946). On the theory of scales of measurement, Science 103 ((1946)), pp. 677–680.
  • Stevens, S.S., (1951). "Mathematics, measurement and psychophysics". In: Handbook of experimental psychology. New York. (1951). p. pp. 1–49, In S.S. Stevens (Ed.).
  • Stevens, S.S., (1959). "Measurement, psychophysics and utility". In: Measurement: definitions and theories. New York. (1959). p. pp. 18–63, In C. W. Churchman & P. Ratoosh (Eds).
  • Stevens, S.S., (1968). Measurement, statistics, and the schemapiric view, Science 161 ((1968)), pp. 849–856.
  • Stevens, S.S., (1975). Psychophysics: Introduction to its perceptual, neural, and social prospects. New York. (1975).
  • Suppes, P., (1951). A set of independent axioms for extensive quantities, Portugaliae Mathematica 10 ((1951)), pp. 163–172.
  • Suppes, P., and Zinnes, J., (1963). "Basic measurement theory". In: Handbook of mathematical psychology: Vol. I. New York. (1963). p. pp. 1–76, In R.D. Luce, R.R. Bush & E. Galanter (Eds.).
  • Titchener, E.B., (1905). Experimental psychology: a manual for laboratory practice. London. (1905).
  • Whitley, B.E., (1996). Principles of research in behavioral science. Mountain View, CA. (1996).
  • Wright, B.D., (1999). "Fundamental measurement for psychology". In: The new rules of measurement: What every psychologist and educator should know. Mahwah, NJ. (1999). p. pp. 65–104, In S.E. Embretson & S.L. Hershberger (Eds.).

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