27.12.2013 Views

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

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

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

variable standard <strong>the</strong> strictly decomposed model produced <strong>the</strong> data that fitted <strong>the</strong> empirical<br />

data best. However, not only did <strong>the</strong> decomposed model produce <strong>the</strong> most realistic data<br />

pattern, its RT estimates also reflected specific characteristics previously assumed to be<br />

determined by <strong>the</strong> holistic part <strong>of</strong> <strong>the</strong> hybrid model. In this context, regression analysis<br />

showed that a predictor representing a measure <strong>of</strong> (logarithmic) overall distance between <strong>the</strong><br />

to-be-compared <strong>number</strong>s accounted for a reliable part <strong>of</strong> <strong>the</strong> variance even though <strong>the</strong>re is no<br />

unitary representation <strong>of</strong> overall distance in <strong>the</strong> strictly decomposed model. Interestingly, <strong>the</strong><br />

inclusion <strong>of</strong> such a predictor was one reason for Nuerk, Weger, & Willmes (2001; Nuerk and<br />

Willmes, 2005) to propose a holistic <strong>number</strong> magnitude representation apart from<br />

representations coding <strong>the</strong> magnitudes <strong>of</strong> its constituting digits. Taken toge<strong>the</strong>r, analysing <strong>the</strong><br />

computational model data implies that <strong>the</strong> standard effects <strong>of</strong> numerical cognition on<br />

symbolic digital input can be accounted for by a model proposing <strong>the</strong> strictly decomposed<br />

representation <strong>of</strong> units, tens, hundreds, etc.<br />

After having summarized <strong>the</strong> most important aspects <strong>of</strong> <strong>the</strong> individual studies<br />

presented in <strong>the</strong> current <strong>the</strong>sis, <strong>the</strong>se so far separate lines <strong>of</strong> evidence shall be consolidated<br />

and discussed in <strong>the</strong> General Discussion section.<br />

294

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!