Dodonov Y.S. General intelligence and speed of enumeration

Psikhologicheskie Issledovaniya :: English version :: 2011 Issue 2(16) :: Dodonov Y.S. General intelligence and speed of enumeration

Psikhologicheskie Issledovaniya 2011 - Issue 2(16)

Full text in Russian: Додонов Ю.С. Общий интеллект и скорость опознавания количества
Moscow City University of Psychology and Education, Moscow, Russia

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A well-known in cognitive psychology trend of increasing enumeration time with an increase in the number of stimuli in a given set is analyzed. Relationships between individual differences in growth trajectories and general intelligence are examined (N = 209). An experimental task “Number of Dots” designed to study the speed of enumeration and a verbal reaction recording technique used for registration of individual response times are described in details. Different methods of analysis of individual growth trajectories such as non-linear regression analysis and structural equation modeling with fixed links between manifest and latent variables are demonstrated. Basic time of enumeration is shown to be weakly negatively correlated with general intelligence whereas a parameter describing intensity of response-time growth with an increase in the number of stimuli in a set is highly negatively correlated with general intelligence. Perspectives of studying of individual differences in the speed of quantity processing are discussed in context of the observed relationships between the enumeration speed and general intelligence.

Keywords: intelligence, enumeration, processing speed, latent growth modeling, structural equation modeling

Fig.1. Examples of the sets of dots used as stimuli in the Number of Dots Test.

Fig.2. Extraction of individual response times based on the graphical representation of the waveform.

Fig.3. Fitting of individual results and calculation of the integral parameter S.

Table 1
Descriptive statistics and correlations for the individual parameters of approximation

Parameter	Descriptive statistics, ms		Correlations between the parameters			Correlations with intelligence score
Parameter	Mean	Standard deviation	k	b	S	Correlations with intelligence score
a	98,95	39,53	–0,836 (0,000)	–0,037 (0,591)	0,485 (0,000)	–0,452* (0,000)
k	1,574	0,243		0,142 (0,040)	–0,002 (0,974)	–0,402** (0,000)
b	501,59	59,80			0,087 (0,212)	–0,150 (0,031)
S	5418,02	1083,67				–0,520 (0,000)

Note. Pearson's correlation coefficients are presented; exact values of p-level are shown in the second row in brackets.
* – partial correlation coefficient, controlled for the parameter k;
** – partial correlation coefficient, controlled for the parameter a.

Fig. 4. Latent analysis of response-time growth with increasing number of dots.

References
Cyrillic letters are transliterated according to BSI standards.

Akin, O., & Chase, W. (1978). Quantification of three-dimensional structures. Journal of Experimental Psychology: Human Perception and Performance, 4, 397–410.

Anderson, R. B. (2001). The power law as an emergent property. Memory & Cognition, 29, 1061-1068.

Anderson, R. B., & Tweney, R. D. (1997). Artifactual power curves in forgetting. Memory & Cognition, 25, 724-730.

Balakrishnan, J. D., & Ashby, F. G. (1991). Is subitizing a unique numerical ability? Perception and Psychophysics,1991, 50, 555–564.

Balakrishnan, J. D., & Ashby, F. G. (1992). Subitizing: Magical numbers or mere superstition? Psychological Research, 54, 80–90.

Barth, H., Kanwisher, N. & Spelke, E. S. (2003). The construction of large number representations in adults. Cognition, 86, 201–221.

Barth, H., La Mont, K., Lipton, J., Dehaene, S., Kanwisher, N., & Spelke, E. S. (2006). Nonsymbolic arithmetic in adults and young children. Cognition, 98, 199–222.

Beauducel, A., & Brocke, B. (1993). Intelligence and speed of information processing: further results and questions on Hick’s paradigm and beyond. Personality and Individual Differences, 15, 627–636.

Dehaene, S. (1997). The number sense. Oxford, UK: Oxford University Press.

Dehaene, S., & Changeux, J. P. (1993). Development of elementary numerical abilities: A neuronal model. Journal of Cognitive Neuroscience, 5, 390–407.

Eysenck, H. J. (1967). Intelligence assessment: a theoretical and experimental approach. British Journal of Educational Psychology, 37, 81–97.

Feigenson, L., Dehaene, S. & Spelke, E. S. (2004). Core systems of number. Trends in Cognitive Sciences, 8, 307–314.

Halberda, J., Mazzocco, M. M. M., & Feigenson, L. (2008). Individual differences in non-verbal number acuity correlate with maths achievement. Nature, 455, 665–669.

Hick, W. E. (1952). On the rate of gain of information. The Quarterly Journal of Experimental Psychology, 4, 11–26.

Holloway, I. D., & Ansari, D. (2008). Mapping numerical magnitudes onto symbols: The numerical distance effect and individual differences in children’s mathematics achievement. Journal of Experimental Child Psychology, 103, 17–29.

Hunt, E. B. (2007). The mathematics of behavior. New York: Cambridge University Press.

Jensen, A. (1987). Individual differences in the Hick paradigm. In P. A. Vernon (Ed.), Speed of information processing and intelligence (P. 101–175). Norwood, NJ: Ablex.

Jensen, A. (1998a). The g factor. London: Praeger.

Jensen, A. (1998b). The suppressed relationship between IQ and the reaction time slope parameter of the Hick function. Intelligence, 26, 43–52.

Jensen, E., Reese, E., & Reese, T. (1950). The subitizing and counting of visually presented fields of dots. Journal of Psychology, 30, 363–392.

Kaufman, E., Lord, M., Reese, T., & Volkmann, J. (1949). The discrimination of visual number. American Journal of Psychology, 62, 498–525.

Kovas, Y., Tosto, M., & Plomin, R. (2010). Predictors of mathematical achievement: the nature of the association. Paper presented on the Eleventh Annual Conference of International Society for Intelligence Research, Alexandria, Virginia.

Mandler, G., & Shebo, B. J. (1982). Subitizing: An analysis of its component processes. Journal of Experimental Psychology: General, 111, 1–21.

Myung, I. J., Kim, C., & Pitt, M. A. (2000). Toward an explanation of the power law artifact: Insights from response surface analysis. Memory & Cognition, 28, 832–840.

Neubauer, A. C., Riemann, R., Mayer, R., & Angleitner, A. (1997). Intelligence and reaction times in the Hick, Sternberg and Posner paradigms. Personality and Individual Differences, 22, 885–894.

Railo, H., Koivisto, M., Revonsuo, A., & Hannula, M. M. (2008). The role of attention in subitizing. Cognition, 107, 82–104.

Rammsayer, T. H., & Brandler S. (2007). Performance on temporal information processing as an index of general intelligence. Intelligence, 35, 123–139.

Roth, E. Die (1964). Geschwinddigkeit der Verabeitung von Information und ihr Zusammenhang mit Intelligenz. Zeitschrift fuer Expermintelle und Angewandte Psychologie, 11, 616–622.

Sathian, K., Simon, T. J., Peterson S., Patel G. A., Hoffman J. M., & Grafton S. T. (1999). Neural evidence linking visual object enumeration and attention. Journal of Cognitive Neuroscience, 11, 36–51.

Schweizer, K. (2006a). The fixed-links model in combination with the polynomial function as a tool for investigating choice reaction time data. Structural Equation Modeling, 13, 403–419.

Schweizer, K. (2006b). The Fixed-Links Model for Investigating the Effects of General and Specific Processes on Intelligence. Methodology, 2, 149–160.

Schweizer, K. (2010). Improving the interpretability of the variances of latent variables by uniform and factor-specific standardizations of loadings. Methodology, 6, 152–159.

Shannon, C. E. (1948). A mathematical theory of communication. The Bell System Technical Journal, 27, pp. 379–423, 623–656.

Sheppard, L. D., & Vernon, P. A. (2008). Intelligence and speed of information-processing: A review of 50 years of research. Personality and Individual Differences, 44, 535–551.

Spearman, C. (1927). The abilities of man. New York: Macmillan.

Trick, L., & Pylyshyn, Z. (1994). Why are small and large numbers enumerated differently? A limitedcapacity preattentive stage in vision. Psychological Review, 101, 80–102.

Tunik, E.E. (2009) Test intellekta Amtkhauera. Analiz i interpretatsiya dannykh. SPb.: Rech'. [in Russian]

Whalen, J., Gallistel, C. R., & Gelman, R. (1999). Non-verbal counting in humans: The psychophysics of number representation. Psychological Science, 10, 130–137.

Received 3 March 2011. Date of publication: 15 April 2011.

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Dodonov Yury S. Research Fellow, Moscow City University of Psychology and Education, ul. Sretenka, 29, 127051 Moscow, Russia.
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Dodonov, Y. S. (2011). General intelligence and speed of enumeration. Psikhologicheskie Issledovaniya, 2(16). Retrieved from http://psystudy.ru. 0421100116/0015. [in Russian, abstr. in English].

Russian State Standard GOST P 7.0.5-2008
Dodonov Y.S. General intelligence and speed of enumeration [Electronic resource] // Psikhologicheskie Issledovaniya. 2011. N 2(16). URL: http://psystudy.ru (date of access: dd.mm.yyyy). 0421100116/0015. [in Russian, abstr. in English]

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