Statistical Information, Uncertainty, and Bayes’ Theorem: Some Applications in Experimental Psychology

This paper contains, first, a brief formal exploration of the relationships between information (statistically defined), statistical hypothesis testing, the channel capacity of a communication system, and uncertainty. Thereafter several applications of these ideas in experimental psychology are examined. The applications are grouped under "Mathematical theories that are not matched to the psychological task", "The human observer treated as a physical system", and "Bayes' theorem".