The size-weight illusion in 2-D nonlinear psychophysics

An extension of unidimensional nonlinear psychophysics is postulated by using forms of crosscoupling between the parameters of the two single-channel recursions, which have already been shown to model some perceptual phenomena. The size-weight illusion is shown to be reproducible in the topology of its relations, and it is suggested that some so-called illusions are in fact the natural consequences of nonlinear cross-coupling. The conditions that produce the illusion involve partially compensating the cross-coupling of sensory dimensions, and a second equilibrium with no cross-coupling, resembling simpler veridical perception, also exists in the behavior of some subjects.

[1]  I. Huang The Size-Weight Illusion in Relation to the Perceptual Constancies , 1945 .

[2]  L Sjöberg,et al.  Sensation sclaes in the size-weight illusion. , 1969, Scandinavian journal of psychology.

[3]  N. Anderson,et al.  Further data on a weighted average model for judgment in a lifted weight task , 1968 .

[4]  S. C. Masin,et al.  Experimental demonstration of the sensory basis of the size-weight illusion , 1988, Perception & psychophysics.

[5]  Paul Brickett,et al.  The role of preparatory muscular tension in the size-weight illusion , 1977 .

[6]  T. Fearn,et al.  Bayesian statistics : principles, models, and applications , 1990 .

[7]  Lee L. Rubin,et al.  Psychophysical scales of apparent heaviness and the size-weight illusion , 1970 .

[8]  Norman H. Anderson,et al.  Methods of information integration theory , 1982 .

[9]  Milton Lodge,et al.  The role of regression and range effects in determination of the power function for electric shock , 1975 .

[10]  K E BAKER,et al.  Weight scales from ratio judgments and comparisons of existent weight scales. , 1955, Journal of experimental psychology.

[11]  K. W. Oberlin Variation in intensive sensitivity to lifted weights. , 1936 .

[12]  R. Gregson Invariance in time series representations of 2-input 2-output psychophysical experiments. , 1984, The British journal of mathematical and statistical psychology.

[13]  Stephen Bailey,et al.  Out of chaos , 1977 .

[14]  Contribution to the study of the size-weight illusion by the method of p. koseleff , 1955 .

[15]  Paul Koseleff Studies in the Perception of Heaviness. II , 1958 .

[16]  H. Robinson AN EXPERIMENTAL EXAMINATION OF THE SIZE-WEIGHT ILLUSION IN YOUNG CHILDREN. , 1964, Child development.

[17]  Robert A. M. Gregson,et al.  Nonlinear dynamics in a complex cubic one-dimensional model for sensory psychophysics , 1988 .

[18]  Ilya Prigogine,et al.  Order out of chaos , 1984 .

[19]  S. Isola Understanding complex behaviour. Some remarks on method and intepretation, in `Chaos and Complexity', (Torino, October 5-11, 1987), R. Livi, S. Ruffo, S. Ciliberto and M. Buiatti eds., World Scientific. , 1988 .

[20]  Théodore Flournoy,et al.  Illusions de poids , 1894 .

[21]  H. Jeffreys,et al.  Theory of probability , 1896 .

[22]  C. M. Davis,et al.  Mechanical advantage in the size-weight illusion , 1973 .

[23]  D. Cross,et al.  The relation between size and apparent heaviness , 1975 .

[24]  L. Jones,et al.  Perception of force and weight: theory and research. , 1986, Psychological bulletin.

[25]  Converging power functions as a description of the size-weight illusion: A control experiment , 1976 .

[26]  H. G. Bothe Gumowski, I./Mira, C., Dynamique chaotique. Transformations ponctuelles, Transition Ordre‐Désordre. Toulouse, Cepadues Editions 1980. 480 S , 1981 .

[27]  Robert A. M. Gregson,et al.  Julia sets for the gamma recursion in nonlinear psychophysics , 1990 .

[28]  Robert M. May,et al.  Mathematical modelling: The cubic map in theory and practice , 1984, Nature.

[29]  H E Ross,et al.  Weight Illusions and Weight Discrimination—a Revised Hypothesis , 1970, The Quarterly journal of experimental psychology.

[30]  Clairice T. Veit,et al.  Scale-flee tests of an additive model for the size-weight illusion , 1974 .

[31]  H E Ross,et al.  Arm Weight, Adaptation, and Weight Discrimination , 1967, Perceptual and motor skills.

[32]  E. Kreuzer Numerische Untersuchung nichtlinearer dynamischer Systeme , 1987 .

[33]  Robert A. M. Gregson,et al.  Time series in psychology , 1983 .

[34]  Arnold J. Mandell,et al.  Synergetics of the Brain , 1983 .

[35]  The development of the weight-volume illusion. , 1967, Journal of experimental child psychology.

[36]  H. Quastler Information theory in psychology , 1955 .

[37]  M. Posner,et al.  Visual dominance: an information-processing account of its origins and significance. , 1976, Psychological review.

[38]  J. Adam,et al.  Size-Weight Illusion and Anchoring of Weight Judgments , 1965, Perceptual and motor skills.

[39]  Stephen P. Harshfield,et al.  Weight judgment as a function of apparent density of objects , 1970 .

[40]  Robert A. M. Gregson,et al.  Nonlinear Psychophysical Dynamics , 1988 .

[41]  C. M. Davis,et al.  A Weight Illusion Produced by Lifting Movements , 1977, Perceptual and motor skills.

[42]  J. Müller,et al.  Of the brain. , 1837 .

[43]  HELEN E. ROSS Sensory Information necessary for the Size–Weight Illusion , 1966, Nature.

[44]  D. Usnadze Über die Gewichtstäuschung und ihre Analoga , 1931 .

[45]  H. Ross When is a Weight not Illusory? , 1969, The Quarterly journal of experimental psychology.

[46]  S. S. Stevens,et al.  A psychological scale of weight and a formula for its derivation. , 1948, The American journal of psychology.

[47]  Michael Smithson,et al.  Possibility Theory, Fuzzylogic, and Psychological Explanation , 1988 .

[48]  Robert H. Thouless,et al.  Phenomenal Regression to the Real Object , 1931, Nature.

[49]  N. Anderson Averaging model applied to the size-weight illusion , 1970 .

[50]  Paul Koseleff,et al.  Studies in the perception of heaviness. I.1.2: Some relevant facts concerning the size-weight-effect (SWE) , 1957 .

[51]  M. Radeau,et al.  Signal Intensity, Task Context, and Auditory-Visual Interactions , 1985, Perception.

[52]  I. Huang,et al.  The Size-Weight Illusion and the “Weight-Density Illusion” , 1945 .

[53]  Stephen Wiggins,et al.  Global Bifurcations and Chaos , 1988 .

[54]  Norman H. Anderson,et al.  Cross-task validation of functional measurement , 1972 .

[55]  N. Anderson Application of a weighted average model to a psychophysical averaging task , 1967 .

[56]  Herbert N. Loomis Reactions to equal weights of unequal size. , 1907 .