Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/36219

Title: Explaining the Bayes' theorem graphically
Authors: Ballesteros-Perez, Pablo
Gonzalez-Cruz, M. Carmen
Mora-Melia, Daniel
Keywords: Student
Visual learning
Statistics
Probabilities
Bayes' theorem
Issue Date: 2018
Publisher: © IATED
Citation: BALLESTEROS-PEREZ, P., GONZALEZ-CRUZ, M.C. and MORA-MELIA, D., 2018. Explaining the Bayes' theorem graphically. IN: Gomez Chova, L., Lopez Martinez, A. and Candel Torres, I. (eds.) 12th International Technology, Education and Development Conference (INTED 2018 conference proceedings), Valencia, Spain, March 5-7th. Valencia: IATED Academy, pp. 1608-1614.
Abstract: The Bayes’ theorem on conditional probabilities is normally presented to students in introductory courses/modules on Statistics and Probability. This because most STEM students will make use of conditional probabilities in their professional lives with or without noticing. However, maybe because of the unfamiliar notation or because of the variety of ways in which this theorem can be formulated, most students have trouble understanding it. Moreover, when it comes to practical applications and problem exercises, most students (who have generally memorised its manifold ways of rearranging the conditional probabilities formula along with a few applications) struggle even more to come up with correct solutions. By means of a completely graphical approach, this paper presents an alternative way of explaining the Bayes’ theorem to STEM students. By means of diagrams and schematics the students can see the conditional probabilities represented as areas in a square. Simple geometric operations with these areas (additions and multiplications mostly) allow them, not just to understand this theorem far quicker, but to apply it confidently in almost any possible problem configuration. Overall, this paper offers an alternative or complementary way of explaining this important theorem more clearly to students that take probability courses by conveying it graphically instead of with the traditional mathematical formulae. Through a representative case study, this paper deals provides first-hand evidence about how confusing to understand the Bayes’ theorem might be at first even in simple problems, and how the understanding of this theorem is dramatically improved when presenting it graphically.
Description: This is a conference paper. The publisher's preferred citation format is P. Ballesteros-Pérez, M.C. González-Cruz, D. Mora-Melià (2018) EXPLAINING THE BAYES’ THEOREM GRAPHICALLY, INTED2018 Proceedings, pp. 1608-1614.
Sponsor: This research was supported by the CIOB Bowen Jenkins Legacy Research Fund at the University of Reading (H5405400).
Version: Published
DOI: 10.21125/inted.2018.0028
URI: https://dspace.lboro.ac.uk/2134/36219
Publisher Link: http://dx.doi.org/10.21125/inted.2018.0028
ISBN: 9788469794807
ISSN: 2340-1079
Appears in Collections:Conference Papers and Presentations (Architecture, Building and Civil Engineering)

Files associated with this item:

File Description SizeFormat
P. Ballesteros-Pérez, M.C. González-Cruz, D. Mora-Melià (2018) EXPLAINING THE BAYES’ THEOREM GRAPHICALLY, INTED2018 Proceedings, pp. 1608-1614.pdfPublished version601.8 kBAdobe PDFView/Open

 

SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.