Book:
Proceedings of the Seventh International Conference On Teaching Statistics (ICOTS-7), Salvador, Brazil.
Editors:
Rossman, A., & Chance, B.
Type:
Category:
Year:
2006
Publisher:
Voorburg, The Netherlands: International Statistical Institute.
URL:
http://www.stat.auckland.ac.nz/~iase/publications/17/3I4_PERE.pdf
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.
The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education