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The game of word skipping: Who are the competitors?
Published online by Cambridge University Press: 29 March 2004
Abstract:
Computational models such as E-Z Reader and SWIFT are ideal theoretical tools to test quantitatively our current understanding of eye-movement control in reading. Here we present a mathematical analysis of word skipping in the E-Z Reader model by semianalytic methods, to highlight the differences in current modeling approaches. In E-Z Reader, the word identification system must outperform the oculomotor system to induce word skipping. In SWIFT, there is competition among words to be selected as a saccade target. We conclude that it is the question of competitors in the “game” of word skipping that must be solved in eye movement research.
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1. The gamma distribution for saccade latencies can be written as , where τ is a time constant and n is the order of the distribution. Mean value and standard deviation are given by μ = (n + 1)τ and . For a relation of standard deviation to mean of one third (Reichle et al. 1998), we have to choose a gamma distribution of order n = 8.
2. This procedure may be interpreted as a mean field approximation, that is, using the average processing difficulty of the word left to the skipped word. To compute L1 and <L2> according to Equation 3 in the target article, we used word frequencies, predictabilities, and the parameters β1, β2, and Δ.
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