On the Perceptual Generality of the Unit-Decade Compatibility Effect
Abstract
Abstract. Number magnitude is assumed to be holistically represented along a single mental number line. Recently, we have observed a unit-decade-compatibility effect which is inconsistent with that assumption (Nuerk, Weger, & Willmes, 2001). In two-digit Arabic number comparison, we have demonstrated that compatible comparisons in which separate decade and unit comparisons lead to the same decision (32_47, 3 < 4 and 2 < 7) were faster than incompatible trials (37_52, 3 < 5, but 7 > 2). Because overall distance was matched, a holistic model could not account for the compatibility effect. However, one could argue that the compatibility effect was due to the specific vertical perceptual arrangement of the two-digit numbers in Nuerk et al.’s (2001) experiment where the decade digits and unit digits were presented column-wise above each other. To examine this objection, we studied the perceptual generality of the compatibility effect with diagonal presentation. We replicated the compatibility effect with diagonal presentation. It is concluded that the compatibility effect is not due to encoding characteristics imposed by the perceptual setting of the original experiment. In particular, the assumption of an overall analog magnitude representation for two-digit numbers is not consistent with these data.
References
(1993). Handbook for ERTS: Experimental Run Time System. Frankfurt a. M., Germany: BeriSoft Corporation.
(1995). Arabic number reading: On the nature of the numerical scale and the origin of phonological recoding. Journal of Experimental Psychology: General, 124, 434– 452
(1989). The psychophysics of numerical comparison: a reexamination of apparently incompatible data. Perception and Psychophysics, 45, 557– 566
(1992). Varieties of numerical abilities. Cognition, 44, 1– 42
(1990). Is numerical comparison digital? Analogical and symbolic effects in two- digit number comparison. Journal of Experimental Psychology: Human Perception and Performance, 16, 626– 641
(2003). Die semantische Größenrepräsentation: Existieren mehr als nur ein mentaler Zahlenstrahl?. [The semantic magnitude representation: Do more than one mental number line exist?]. In J. Golz, F. Faul, & R. Mausfeld (Eds.). Experimentelle Psychologie: Abstracts der 45. Tagung experimentell arbeitender Psychologen. Pabst Science Publishers: Lengerich, Germany.
(1992). Cognitive mechanisms in numerical processing: Evidence form acquired dyscalculia. Cognition, 44, 107– 157
(1967). Time required for judgements of numerical inequality. Nature, 215, 1519– 1520
(2002). On the impact of different number representations in the number bisection task. Cortex, 38, 691– 715
(2001). Decade breaks in the mental number line? Putting tens and units back into different bins. Cognition, 82, B25– B33
(2002). A unit-decade-compatibility effect in German number words. Current Psychology Letters: Behavior, Brain & Cognition, 2(7), 19– 38
(2003). The mental representation of two-digit Arabic numerals examined with masked visual priming: 28 activates {{2} × {10}} + {8} not {2} + {8} in number naming. Presentation on the ESCOP Conference, September 2003, Granada, Spain.
(1970). Speed of adding and comparing numbers. Journal of Experimental Psychology, 83, 274– 278
(1999). Single-digit and two-digit Arabic numerals address the same semantic number line. Cognition, 72, 191– 201
(1995). A representational analysis of numeration systems. Cognition, 57, 271– 295