Function estimation: Quantifying individual differences of hand-drawn functions.

Graphical perception is an important part of the scientific endeavour, and the interpretation of graphical information is increasingly important among educated consumers of popular media, who are often presented with graphs of data in support of different policy positions. However, graphs are multid...

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Publicado en:Memory & Cognition Vol. 53; no. 1; pp. 242 - 262
Autores principales: Little, Daniel R., Shiffrin, Richard M., Laham, Simon M.
Formato: Artículo
Publicado: Springer Nature Jan2025
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Jan2025
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        10.3758/s13421-024-01598-5
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        atl: Function estimation: Quantifying individual differences of hand-drawn functions.
      aug:
        au:
          Little, Daniel R.
          Shiffrin, Richard M.
          Laham, Simon M.
        affil:
          https://ror.org/01ej9dk98 Melbourne School of Psychological Sciences, The University of Melbourne, 3010, Parkville, VIC, Australia
          https://ror.org/01kg8sb98 Psychological and Brain Sciences, Indiana University, Bloomington, IN, USA
      su:
        Task performance
        Undergraduates
        Allied health personnel
        Students
        Psychology
        Statistical models
        Graphic arts
        Data analysis
        Research funding
        Statistics
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        subj:
          Task performance
          Undergraduates
          Allied health personnel
          Students
          Psychology
          Statistical models
          Graphic arts
          Data analysis
          Research funding
          Statistics
      keyword:
        Gaussian processes
        Graphical perception
        Individual differences
        Gaussian processes
        Graphical perception
        Individual differences
      ab: Graphical perception is an important part of the scientific endeavour, and the interpretation of graphical information is increasingly important among educated consumers of popular media, who are often presented with graphs of data in support of different policy positions. However, graphs are multidimensional and data in graphs are comprised not only of overall global trends but also local perturbations. We presented a novel function estimation task in which scatterplots of noisy data that varied in the number of data points, the scale of the data, and the true generating function were shown to observers. 170 psychology undergraduates with mixed experience of mathematical functions were asked to draw the function that they believe generated the data. Our results indicated not only a general influence of various aspects of the presented graph (e.g., increasing the number of data points results in smoother generated functions) but also clear individual differences, with some observers tending to generate functions that track the local changes in the data and others following global trends in the data.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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