Bradley-Terry-Luce models to incorporate within-pair order effects: Representation and uniqueness theorems

British Journal of Mathematical and Statistical Psychology

Volumn 57, Issue 2, 2004, Pages 281-294

  Augustin, Thomas ^a  

^a UNIVERSITY OF GRAZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; HUMAN; METHODOLOGY; PSYCHOLOGY; STATISTICS; THEORETICAL MODEL;

HUMANS; MODELS, THEORETICAL; PSYCHOLOGY;

EID: 8844220504     PISSN: 00071102     EISSN: None     Source Type: Journal    
DOI: 10.1348/0007110042307195     Document Type: Article

References (13)

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2. Bossuyt, P. M., & Roskam, E. E. (1989). Testing probabilistic choice models. In G. De Soete, H. Feger & K. C. Klauer (Eds), New Developments in Psychological Choice Modeling (pp. 207-219). Amsterdam: Elsevier Science.
3. Bradley, R. A., & Terry, M. E. (1952). Rank analysis of incomplete block designs. I. The method of paired comparisons. Biometrika, 39, 324-345.
4. David, H. A. (1963). The method of paired comparisons. London: Charles Griffin.
5. Davidson, R. R., & Beaver, R. J. (1977). On extending the Bradley-Terry model to incorporate within-pair order effects. Biometrics, 33, 693-702.
6. Falmagne, J.-C. (1985). Elements of psychophysical theory. Oxford: Oxford University Press.
7. Hamerle, A., & Tutz, G. (1980). Goodness of fit tests for probabilistic measurement models. Journal of Mathematical Psychology, 21, 153-167.
8. Iverson, G., & Falmagne, J.-C. (1985). Statistical issues in measurement. Mathematical Social Sciences, 10, 131-153.
9. Koehler, K. J., & Ridpath, H. (1982). An application of a biased version of the Bradley-Terry-Luce model to professional basketball results. Journal of Mathematical Psychology, 25, 187-205.
10. Luce, R. D. (1959). Individual choice behavior. New York: Wiley.
11. Luce, R. D., & Suppes, P. (1965). Preference, utility and subjective probability. In R. D. Luce, R. R. Bush & E. Galanter (Eds), Handbook of mathematical psychology, Volume 3 (pp. 249-410). New York: Wiley.
12. Lukas, J., (1991). BTL-Skalierung verschiedener Geschmacksqualitäten von Sekt [BTL scaling of different taste qualities of champagne]. Zeitschrift für Experimentelle und Angewandte Psychologie, 38, 605-619.
13. Suppes, P., & Zinnes, J. L. (1963). Basic measurement theory. In R. D. Luce, R. R. Bush & E. Galanter (Eds), Handbook of mathematical psychology, Volume 1 (pp. 1-76). New York: Wiley.