Affiliation:
1. Centre of Mathematics, Universidade do Minho, 4710-057 Braga, Portugal
2. School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile
3. Centre for Humanistic Studies, Universidade do Minho, 4710-057 Braga, Portugal
Abstract
In the evolving landscape of psycholinguistic research, this study addresses the inherent complexities of data through advanced analytical methodologies, including permutation tests, bootstrap confidence intervals, and fractile or quantile regression. The methodology and philosophy of our approach deeply resonate with fractal and fractional concepts. Responding to the skewed distributions of data, which are observed in metrics such as reading times, time-to-response, and time-to-submit, our analysis highlights the nuanced interplay between time-to-response and variables like lists, conditions, and plausibility. A particular focus is placed on the implausible sentence response times, showcasing the precision of our chosen methods. The study underscores the profound influence of individual variability, advocating for meticulous analytical rigor in handling intricate and complex datasets. Drawing inspiration from fractal and fractional mathematics, our findings emphasize the broader potential of sophisticated mathematical tools in contemporary research, setting a benchmark for future investigations in psycholinguistics and related disciplines.
Funder
FONDECYT
CMAT—Research Centre of Mathematics of the University of Minho
FCT-Foundation for Science and Technology
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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