Symbolic distance between numerosity and identity modulates Stroop interference.

Thirty undergraduates participated in an experiment investigating the effect of the arithmetic difference between stimulus identity and stimulus numerosity in a numerical version of the Stroop task. It was found that digits symbolically close to the enumeration response reliably produced larger interference than digits that were farther from the enumeration response. This semantic distance effect (SDE) was found with different numerosities (1¸9) and different enumeration processes (counting and subitizing), and it increased as a function of numerosity in the subitizing range. These findings suggest that digit identity autonomously activates a magnitude representation organized as a compressed number line.

[1]  W. Banks,et al.  Semantic congruity effects in comparative judgments of magnitudes of digits. , 1976 .

[2]  Gordon D. Logan,et al.  On the relation between production and verification tasks in the psychology of simple arithmetic , 1990 .

[3]  Jamie I. D. Campbell,et al.  An encoding-complex view of cognitive number processing: Comment on McCloskey, Sokol, and Goodman (1986). , 1988 .

[4]  J. Windes,et al.  Reaction time for numerical coding and naming of numerals. , 1968, Journal of experimental psychology.

[5]  Alfonso Caramazza,et al.  Cognitive mechanisms in number processing and calculation: Evidence from dyscalculia , 1985, Brain and Cognition.

[6]  J. Stroop.  Studies of interference in serial verbal reactions. , 1992 .

[7]  S. Dehaene,et al.  The mental representation of parity and number magnitude. , 1993 .

[8]  Stanislas Dehaene,et al.  Development of Elementary Numerical Abilities: A Neuronal Model , 1993, Journal of Cognitive Neuroscience.

[9]  E. L. Kaufman,et al.  The discrimination of visual number. , 1949, The American journal of psychology.

[10]  F. Restle.  Speed of Adding and Comparing Numbers. , 1970 .

[11]  G. R. Potts,et al.  Mental comparison of size and magnitude: size congruity effects. , 1984, Journal of experimental psychology. Learning, memory, and cognition.

[12]  John M. Parkman,et al.  Temporal aspects of digit and letter inequality judgments. , 1971, Journal of Experimental Psychology.

[13]  Avishai Henik,et al.  Automatic and intentional processing of numerical information , 1992 .

[14]  W. Neill,et al.  Selective attention and the inhibitory control of cognition. , 1995 .

[15]  S. Poltrock,et al.  A random walk model of digit comparison , 1989 .

[16]  B. Forrin,et al.  Naming latency and the repetition of stimulus categories , 1974 .

[17]  G. S. Klein,et al.  SEMANTIC POWER MEASURED THROUGH THE INTERFERENCE OF WORDS WITH COLOR-NAMING. , 1964, The American journal of psychology.

[18]  G. Logan,et al.  Memory-based automaticity in the discrimination of visual numerosity. , 1993, Journal of experimental psychology. Learning, memory, and cognition.

[19]  S. Tipper.  The Negative Priming Effect: Inhibitory Priming by Ignored Objects , 1985, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[20]  R. Moyer.  Comparing objects in memory: Evidence suggesting an internal psychophysics , 1973 .

[21]  C. Umilta,et al.  Further evidence on the effects of symbolic distance on Stroop-like interference , 1999 .

[22]  G D Logan,et al.  On the autonomy of mental processes: a case study of arithmetic. , 1986, Journal of experimental psychology. General.

[23]  D. A. Taylor,et al.  The cuing and priming of cognitive operations. , 1987, Journal of experimental psychology. Human perception and performance.

[24]  P. Shaver,et al.  Color association values and response interference on variants of the Stroop test. , 1967, Acta psychologica.

[25]  A. Henik,et al.  Is three greater than five: The relation between physical and semantic size in comparison tasks , 1982, Memory & cognition.

[26]  Charles J. Brainerd,et al.  New perspectives on interference and inhibition in cognition: Final comments , 1995 .

[27]  Verbal interference with perceptual classification: The effect of semantic structure , 1973 .

[28]  S. Dehaene,et al.  Attention, automaticity, and levels of representation in number processing , 1995 .

[29]  Dale S. Klopfer,et al.  Stroop Interference and Color-Word Similarity , 1996 .

[30]  R E Morin,et al.  Recognition memory and reaction time. , 1967, Acta psychologica.

[31]  S. Dehaene.  Varieties of numerical abilities , 1992, Cognition.

[32]  A. T. Welford,et al.  THE MEASUREMENT OF SENSORY-MOTOR PERFORMANCE : SURVEY AND REAPPRAISAL OF TWELVE YEARS' PROGRESS , 1960 .

[33]  Z. Pylyshyn,et al.  Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision. , 1994, Psychological review.

[34]  J. Morton,et al.  Categories of interference: verbal mediation and conflict in card sorting. , 1969, British journal of psychology.

[35]  F. Campbell,et al.  The Magic Number 4 ± 0: A New Look at Visual Numerosity Judgements , 1976, Perception.

[36]  E. M. Jensen,et al.  The subitizing and counting of visually presented fields of dots. , 1950 .

[37]  Robert Sekuler,et al.  Processing numerical information: A choice time analysis , 1971 .

[38]  K. Briand,et al.  Priming single digit numbers: automatic spreading activation dissipates as a function of semantic distance , 1986 .

[39]  C. Gallistel,et al.  The Child's Understanding of Number , 1979 .

[40]  William P. Banks,et al.  Encoding and Processing of Symbolic Information in Comparative Judgments1 , 1977 .

[41]  James V. Hinrichs,et al.  Two-digit number comparison: Use of place information. , 1981 .

[42]  Ronald E. Shor,et al.  Semantic gradients and interference in naming color, spatial direction, and numerosity , 1971 .

[43]  Z. Pylyshyn,et al.  What enumeration studies can show us about spatial attention: evidence for limited capacity preattentive processing. , 1993, Journal of experimental psychology. Human perception and performance.

[44]  Matthew Flatt,et al.  PsyScope: An interactive graphic system for designing and controlling experiments in the psychology laboratory using Macintosh computers , 1993 .

[45]  R. Moyer,et al.  Mental comparison and the symbolic distance effect , 1976, Cognitive Psychology.

[46]  S. Tipper,et al.  Behavioural Goals Determine Inhibitory Mechanisms of Selective Attention , 1994 .

[47]  Robert Sekuler,et al.  Children's Judgments of Numerical Inequality. , 1977 .

[48]  W. Trammell Neill,et al.  Selective attention and the suppression of cognitive noise. , 1987 .

[49]  ROBERT S. MOYER,et al.  Time required for Judgements of Numerical Inequality , 1967, Nature.

[50]  J. L. Warner,et al.  Response and encoding factors in “ignoring” irrelevant information , 1979 .

[51]  M. Brysbaert.  Arabic number reading: On the nature of the numerical scale and the origin of phonological recoding. , 1995 .

[52]  C M Francolini,et al.  On the nonautomaticity of “automatic” activation: Evidence of selective seeing , 1980, Perception & psychophysics.

[53]  R. Shor,et al.  Symbol Processing Speed Differences and Symbol Interference Effects in a Variety of Concept Domains. , 1971, The Journal of general psychology.

[54]  Colin M. Macleod.  Half a century of research on the Stroop effect: an integrative review. , 1991, Psychological bulletin.

[55]  S. Dehaene,et al.  Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. , 1990, Journal of experimental psychology. Human perception and performance.

[56]  H Egeth,et al.  Subitizing: Direct apprehension or serial processing? , 1988, Perception & psychophysics.

[57]  G. Mandler,et al.  Subitizing: an analysis of its component processes. , 1982, Journal of experimental psychology. General.

[58]  E. M. Duncan,et al.  Isolating the effects of symbolic distance, and semantic congruity in comparative judgments: An additive-factors analysis , 1980, Memory & cognition.

[59]  R W Proctor,et al.  Sources of color-word interference in the Stroop color-naming task , 1978, Perception & psychophysics.

[60]  G. M. Redding,et al.  Stroop Effect: Interference and Facilitation with Verbal and Manual Responses , 1977, Perceptual and motor skills.