The impact of visualization on flexible Bayesian reasoning

Authors

  • Katharina Böcherer-Linder University of Education Freiburg
  • Andreas Eichler University of Kassel
  • Markus Vogel University of Education Heidelberg

DOI:

https://doi.org/10.35763/aiem.v1i11.169

Keywords:

Bayesian reasoning, base rate, visualization, tree diagram, unit square

Abstract

There is wide consensus that visualizations of statistical information can support Bayesian reasoning. This article focusses on the conceptual understanding of Bayesian reasoning situations and investigates whether the tree diagram or the unit square is more appropriate to support the understanding of the influence of the base rate, which is introduced as being a part of flexible Bayesian
reasoning. As a statistical graph, the unit square reflects the influence of the base rate not only in a numerical but also in a geometrical way. Accordingly, in two experiments with undergraduate students (N = 148 and N = 143) the unit square outperformed the tree diagram referring to the understanding of the influence of the base rate. Our results could inform the discussion about how to visualize Bayesian situations and has practical consequences for the teaching and learning of statistics

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Published

2017-05-05

How to Cite

Böcherer-Linder, K., Eichler, A., & Vogel, M. (2017). The impact of visualization on flexible Bayesian reasoning. Advances of Research in Mathematics Education, (11), 25–46. https://doi.org/10.35763/aiem.v1i11.169

Issue

No. 11 (2017)

Section

Artículos

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