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The influence of the place-value structure of the Arabic number ...

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preclude any attentional bias towards <strong>the</strong> tens, making decade and unit digits equally relevant.<br />

If two-digit <strong>number</strong>s were represented internally in a holistic fashion, <strong>the</strong>se changes should<br />

not matter. However, if <strong>number</strong>s were represented internally in a decomposed fashion, <strong>the</strong>se<br />

changes should be relevant and should produce significant unit-based effects, in particular <strong>the</strong><br />

compatibility effect. Note that this prediction is made although we could do nothing about <strong>the</strong><br />

third problem as <strong>the</strong> congruency effect is inevitably confounded with <strong>the</strong> examination <strong>of</strong><br />

internal representations.<br />

METHOD<br />

Participants: 19 students <strong>of</strong> <strong>the</strong> University <strong>of</strong> Salzburg (11 female) participated in <strong>the</strong><br />

experiment. Mean age was 21.8 years (SD: 2.4 years; range: 18 - 27 years). All participants<br />

reported normal or corrected to normal vision and were right-handed.<br />

Stimuli: In <strong>the</strong> current experiment two-digit <strong>number</strong>s ranging from 31 to 79 had to be<br />

compared to <strong>the</strong> two standard <strong>number</strong>s 53 and 57. <strong>The</strong> stimulus set did not contain multipliers<br />

<strong>of</strong> ten and - depending on <strong>the</strong> standard employed - ei<strong>the</strong>r <strong>the</strong> <strong>number</strong> 53 or 57 was omitted.<br />

Probe <strong>number</strong>s smaller or larger than <strong>the</strong> standard were balanced in frequency <strong>of</strong> occurrence<br />

as was <strong>the</strong> <strong>number</strong> <strong>of</strong> between- (e.g. 53_45) and within-decade trials (e.g. 53_58). This latter<br />

requirement was met by selective repetitions <strong>of</strong> within-decade stimuli. Altoge<strong>the</strong>r, 72 probe<br />

<strong>number</strong>s had to be compared to ei<strong>the</strong>r standard. 36 probe <strong>number</strong>s were between-decade<br />

stimuli, 18 smaller (31 - 49 excluding 40) and 18 larger than <strong>the</strong> standard (61 - 79 excluding<br />

70). Additionally, 36 within-decade stimuli were presented, again 18 smaller and 18 larger<br />

than <strong>the</strong> standard. To attain this balanced stimulus set, for <strong>the</strong> standard 57, each <strong>number</strong> from<br />

51 - 56 was presented 3 times, and 58 and 59 both 9 times, and accordingly we included 9<br />

times both 51 and 52 and 3 times 54 - 59 for <strong>the</strong> standard 53.<br />

All probes were shown in <strong>Arabic</strong> notation using <strong>the</strong> “Times New Roman” font (size<br />

24) and were presented at <strong>the</strong> centre <strong>of</strong> a 17‘ monitor.<br />

48

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