ETS Research Bulletin SeriesVolume 1973, Issue 1 p. i-58 ArticleFree Access GEOMETRIC INTERPRETATIONS OF SOME PSYCHOPHYSICAL RESULTS Michael V. Levine, Michael V. Levine University of Pennsylvania Educational Testing Service Acknowledgments: Valuable criticism on this work has been received from Jean Claude Falmagne, Peter Freyd, Francis Irwin, Dorothea Jameson, Ann King, R. Duncan Luce, L. E. Marks, Jacob Nachmias, Klaus Riegel, Harris Savin and J. C. Stevens.Search for more papers by this author Michael V. Levine, Michael V. Levine University of Pennsylvania Educational Testing Service Acknowledgments: Valuable criticism on this work has been received from Jean Claude Falmagne, Peter Freyd, Francis Irwin, Dorothea Jameson, Ann King, R. Duncan Luce, L. E. Marks, Jacob Nachmias, Klaus Riegel, Harris Savin and J. C. Stevens.Search for more papers by this author First published: June 1973 https://doi.org/10.1002/j.2333-8504.1973.tb00643.x AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat REFERENCES Coxeter, H. M. S. The real projective plane. ( 2nd ed.) Cambridge: Cambridge University Press, 1955. Curtis, D., & Rule, S. Evidence for a two-stage model of magnitude estimation. Paper read at Psychophysical Measurement Seminar of Mathematical Psychology Meetings, La Jolla, California, 1972. Ekman, G. Some aspects of psychophysical research. In W. A. Rosenblith (Ed.), Sensory communication. Cambridge, Mass.: MIT Press, 1961. Hanes, R. M. The construction of a subjective brightness scale from fractionation data. Journal of Experimental Psychology, 1949, 39, 714– 728. Hurvich, L. M. Hering and the scientific establishment. American Psychologist, 1969, 24, 497– 514. Krantz, D. H. A theory of magnitude estimation and cross-modality matching. Journal of Mathematical Psychology, 1972, 9, 168– 199. Levine, M. V. Transformations that render curves parallel. Journal of Mathematical Psychology, 1970, 7, 410– 443. Levine, M. V. Transforming curves into curves with the same shape. Journal of Mathematical Psychology, 1972, 9, 1– 16. Levine, M. V. Nonadditive analogues of the basic mathematical results of additive measurement. Submitted to Journal of Mathematical Psychology, 1973. (a) Levine, M. V. Exact measurement with functions defined on small sets. To be submitted to Journal of Mathematical Psychology, 1973. (b) Levine, M. V. Geometric interpretations of some generalizations of direct measurement. To be submitted to Psychological Review, 1973. (c) Luce, R. D. What sort of measurement is psychophysical measurement? American Psychologist, 1972, 27, 96– 106. Marks, L. E. The new psychophysics of sensory processes. To be published by Wiley, 1973. Nielsen, T. I. Volition: A new experimental approach. Scandinavian Journal of Psychology, 1963, 4, 225– 230. Restle, F. Rapid judgment of magnitudes: Half magnitudes. Indiana Mathematical Psychology Program Report Series, 69– 5, Indiana University, 1969. (a) Restle, F. Speed of adding and comparing numbers. Journal of Experimental Psychology, 1969, 83, 274– 278. (b) Ross, J. The task of magnitude estimation. Abstract Guide of XXth International Congress of Psychology, Tokyo, 1972. Ross, J., & Di Lollo, V. A vector model for psychophysical judgment. Journal of Experimental Psychology, Monograph Supplement, 1968, 77, 1– 16. Stevens, J. C. Convergence of psychophysical power functions. Written communication to Psychophysical Measurement Seminar of Mathematical Psychology Meetings, La Jolla, California, 1972. Stevens, J. C., & Rubin, L. I. Psychophysical scales of apparent heaviness and the size-weight illusion. Perception and Psychophysics, 1970,. Stevens, S. S. A metric for social consensus. Science, 1966, 151, 530– 541. Stevens, S. S., & Greenbaum, H. B. Regression effect in psychophysical judgment. Perception and Psychophysics, 1966, 1, 439– 446. Suppes, P., & Zinnes, J. L. Basic measurement theory. In R. D. Luce, R. R. Bush, and E. Galanter (Eds.), Handbook of Mathematical Psychology, Volume I. New York: Wiley, 1963. Volume1973, Issue1June 1973Pages i-58 ReferencesRelatedInformation