Evaluating a model of global psychophysical judgments - I: Behavioral properties of summations and productions

Journal of Mathematical Psychology

Volumn 49, Issue 4, 2005, Pages 290-307

  Steingrimsson, Ragnar ^a   Luce, R Duncan ^b  

^a NEW YORK UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Auditory bias; Auditory summation; Double cancellation; Magnitude estimation; Magnitude production; Matching; Production commutativity; Psychophysics; Ratio production; Thomsen condition

Indexed keywords

EID: 23844460585     PISSN: 00222496     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmp.2005.03.003     Document Type: Article

References (33)

1. American Psychological Association (1992). Ethical principles of psychologists and code of conduct. American Psychologist, 47(12), 1597-1611.
2. ANSI (1996). Specification for audiometers (ANSI S3.6-1996). New York: American National Standards Institute.
3. M.H. Birnbaum Controversies in psychological measurement In B. Wegener (Ed.), Social attitudes and psychological measurement 1982 Erlbaum Hillsdale, NJ 401-485
4. S. Coren The left-hander syndrome: The causes and consequences of left-handedness 1992 The Free Press New York
5. E. Dzhafarov Multidimensional Fechnerian scaling: Pairwise comparisons, regular minimality, and nonconstant self-similarity Journal of Mathematical Psychology 46 2002 583-608
6. B. Efron & R.J. Tibshirani An introduction to the bootstrap 1993 Chapman and Hall New York
7. W. Ellermeier & G. Faulhammer Empirical evaluation of axioms fundamental to Stevens's ratio-scaling approach: I. Loudness production Perception and Psychophysics 62 2000 1505-1511
8. J.-C. Falmagne Random conjoint measurement and loudness summation Psychological Review 83 1976 65-79
9. J.-C. Falmagne G. Iverson & S. Marcovici Binaural "loudness" summation: Probabilistic theory and data Psychological Review 86 1979 25-43
10. Fechner, G. T., 1966/1860. Elements of psychophysics. Holt, Rinehart, and Wilson, New York, translated from Elemente der Psychophysik (1860) by H. E. Adler.
11. J.M. Findlay Estimates on probability functions: A more virulent PEST Perception & Psychophysics 23 1978 181-185
12. G. Gigerenzer & G. Strube Are there limits to binaural additivity of loudness? Journal of Experimental Psychology: Human Perception and Performance 9 1983 126-136
13. R.P. Hellman & J. Zwislocki Monaural loudness function at 1000 cps and interaural summation Journal of the Acoustical Society of America 35 1963 856-865
14. A. Hellström The time-order error and its relatives: Mirrors of cognitive processes in comparing Psychological Bulletin 97 1985 35-61
15. Krantz, D. H., Luce, R. D., Suppes, P., & Tversky, A. (1971). Foundations of measurement (vol. 1). New York: Academic Press.
16. W.J.M. Levelt J.B. Riemersma & A.A. Bunt Binaural additivity of loudness British Journal of Mathematical and Statistical Psychology 25 1972 51-68
17. R.D. Luce A note on sums of power functions Journal of Mathematical Psychology 16 1977 91-93
18. R.D. Luce Utility of gains and losses: Measurement theoretical and experimental approaches 2000 Erlbaum Mahwah, NJ errata: See Luce's web page at www.socsci.uci.edu
19. R.D. Luce A psychophysical theory of intensity proportions, joint presentations, and matches Psychological Review 109 2002 520-532
20. R.D. Luce Symmetric and asymmmetric matching of joint presentations Psychological Review 111 2004 446-454
21. Luce, R. D., & Krumhansl, C. L. (1988). Measurement, scaling, and psychophysics. In: Atkinson, R. C., Herrnstein, R. J., Lindzey, G., Luce, R. D. (Eds.), Stevens' handbook of experimental psychology (vol. 1 and 2) (2nd ed.) (pp. 3-74). New York: Wiley.
22. J. Michell An introduction to the logic of measurement 1990 Erlbaum Hillsdale, NJ
23. L. Narens A theory of ratio magnitude estimation Journal of Mathematical Psychology 40 1996 109-129
24. B. Schneider The additivity of loudness across critical bands: A conjoint measurement approach Perception & Psychophysics 43 1988 211-222
25. B.A. Schneider A technique for the nonmetric analysis of paired comparisons of psychological intervals Psychometrika 45 1980 357-372
26. Steingrimsson, R. (2002). Contributions to measuring three psychophysical attributes: Testing behavioral axioms for loudness, response time as an independent variable, and attentional intensity. Psychology Ph.D., University of California, Irvine, available at aris.ss.uci.edu/ ∼ ragnar/thesis.html.
27. Steingrimsson, R., & Luce, R. D. (in press). Evaluating a model of global psychophysical judgments: II. Behavioral properties linking summations and productions. Journal of Mathematical Psychology, accepted for publication.
28. S.S. Stevens Psychophysics: Introduction to its perceptual, neural, and social prospects 1975 Wiley New York
29. M.M. Taylor & C.D. Creelman Pest: Efficient estimates on probability functions Journal of the Acoustical Society of America 41 4 1967 782-787
30. L.M. Ward Cross-modal additive conjoint structures and psychophysical scale convergence Journal of Experimental Psychology: General 119 1990 161-175
31. C.M.M. de Weert & W.J.M. Levelt Binocular brightness combinations: Additive and nonadditive aspects Perception & Psychophysics 15 1974 551-562
32. Zimmer, K., Luce, R. D., & Ellermeier, W. (2001). Testing a new theory of psychophysical scaling: Temporal loudness integration. Fechner Day 2001. Proceedings of the 17th annual meeting of the international society for psychophysics. Lengerirch, Germany: Pabst.
33. Zimmer, K. (in press). Examining the validity of numerical ratios in loudness fractionation. Perception & Psychophysics.