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Teaching Bayes' Rule: A Data Oriented Jim Albert 1

Summary: Teaching Bayes' Rule: A Data Oriented
Jim Albert 1
Bowling Green State University
March 1997
1 Address for correspondence: Department of Mathematics and Statistics, Bowling Green State
University, Bowling Green, OH 43403, USA.

There is a current emphasis on making the introductory statistics class more data­
oriented. Data distributions are used to motivate probability distributions, such as the
normal, and sampling distributions. However, difficulties remain in communicating the
basic tenets of traditional statistical procedures such as confidence intervals and hypothesis
tests. It is shown that skills in understanding relationships between two data variables can
be used to motivate basic principles of Bayesian inference. Two devices, the Bayes' box
and the Bayes' scatterplot, are introduced to display the relationship between models and
data. The methods are illustrated for inference problems for a proportion and contrasted
with simulation methods for introducing traditional inference in the Quantitative Literacy


Source: Albert, James H. - Department of Mathematics and Statistics, Bowling Green State University


Collections: Mathematics