Advanced Mathematical Approaches in Psycholinguistic Data Analysis: A Methodological Insight

Cecilia Castro, Víctor Leiva, Maria do Carmo Lourenço-Gomes, Ana Paula Amorim

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number670
JournalFractal and Fractional
Issue number9
StatePublished - Sep 2023


  • bootstrap confidence intervals
  • complex data
  • fractal and fractional mathematics
  • fractile or quantile regression
  • permutation tests
  • psycholinguistic surveys
  • response times
  • skew distributions


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