Title

Comparing Bayes's Theorem to Frequency-Based Approaches to Teaching Bayesian Reasoning

Document Type

Article

Publication Title

Teaching of Psychology

Publication Date

9-1-2003

Abstract

Despite the conceptual simplicity of Bayesian reasoning, people often err when calculating or estimating conditional probability. These mistakes can have significant real-world consequences, and Bayes's Theorem is a notoriously difficult remedy to teach. Experimenters taught 113 students to use either Bayes's Theorem, 2 × 2 tables, frequency grids, or frequency trees to solve a sample mammogram problem. Immediately following written instruction, group demonstration, and a question-and-answer session, performance on new problems was equivalent across groups. However, when retested 4 weeks later, participants in the Bayes's Theorem group solved fewer problems and demonstrated a poorer understanding of Bayesian reasoning than participants in all other groups. Teaching a frequency-based approach to conditional probability appears to promote learning more effectively than teaching Bayes's Theorem.

Volume

30

Issue

4

First Page

325

Last Page

328

ISSN

00986283

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