This paper is from Session 3I: Teaching Bayesian Statistics
which comes under Topic 3: Statistics education at the post-secondary level Full topic list
(Monday 3rd, 10:30-12:30)
Standard statistical concepts: can they produce incoherence?
Presenter
Abstract
The present article concerns statistical concepts that are usually presented in the statistical classroom. Examples are presented in a way such that simple applications of these concepts produce incoherent conclusions. The examples illustrate that:
iid random variables are in fact strongly dependent; conditional probabilities may depend on how the conditioning arguments were learned; confidence intervals may have the property of diminished precision when information is increasing; and significance tests may not reject impossible hypotheses.
 | 
