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The ability to process multi-digit numbers is an essential skill which we investigated using a number decision task. Subjects were asked to decide whether a target number (e.g., 649) is too small or too large to be the mean between two delimiter numbers that constituted the interval (e.g., 567 and 715). Three-digit numbers were presented vertically with (1) growing interval sizes (i.e., distance between the two delimiters; e.g., interval size between 567 and 715 is 148) and target gap to the mean (e.g., the gap between the 'real' mean 641 and the target 649 is 8) and (2) growing interval sizes with constant gap to the mean (i.e., for each interval size the gap between target and mean was held constant). The results showed that target gap to the mean "masked" the influence of interval sizes, i.e., subjects' performance improved with increasing interval sizes (distance effect). This effect was reversed when constant target gaps to the mean and growing interval sizes were presented. These results were replicated presenting the numbers horizontally and with two-digit numbers. Additionally, a significant influence of decade but no effect of unit compatibility on reaction times and error rates, on number magnitude (size effect) and response format was found. Overall, we showed that the number decision task is an efficient tool to investigate multi- digit number representation and the results from the experiments revealed evidence for a hybrid model of multi-digit number representation in which numbers are represented as a whole but also on separate mental number lines that interact with each other.
The production of language is one of the most complex and amazing skills in humans. Increasing evidence demonstrated that associative relations (e.g., car - garage) play an important role during concept formation but during speech production the effects and processing of associations are highly debated. Hence, the present study investigated the impact of associations and different SOAs on the production of sentences (Experiment 1) and on naming objects (Experiment 2). In an adapted version of the picture-word interference task, participants were asked to name two pictures using a standardized sentence (e.g., “The car is to the left of the trousers”). Thereby, a simultaneous (SOA = 0 ms) or slightly preceding (SOA = -150 ms) auditory or visual distractor had to be ignored. Distractors were related to the first noun (for example: “The car is to the left to the trousers”, distractor: “garage”) or to the second noun (distractor: “belt”) or unrelated to both nouns (distractor: “bottle ”) of the sentence. At simultaneous presentation, visual and auditory distractors related to the first noun of the sentence prolonged naming responses (i.e., interference). For slightly preceding distractors, only visual presentation induced interference for the first noun of the sentence. During no condition, longer naming responses were found for the second noun of the sentence. These effects suggest that associatively related concepts are active during speech production and can be competitors, i.e., they lead to semantic interference. In Experiment 2, subjects had to name an object (e.g., car) while ignoring a visually presented distractor (e.g., motor). The stimulus set was the same as in Experiment 1. The results showed a facilitation effect if the distractor and the target were associatively related. Overall, the current results provide new insight in the models of speech production: while during single word production, associations facilitate naming, they interfere during sentence production. Hence, associations have an important influence on producing speech but the impact is varied by the context, i.e., single word or sentential.
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