Nsf

An experimental foundation for statistics

In a recent conversation with Brian (of abstraction fame) about the relationship between mathematics and statistics. Statistics, for historical reasons, has been treated as a mathematical sub-discipline (this is the NSF’s view). One reason statistics is viewed as a sub-discipline of math is because the foundations of statistics are built on the basis of deductive reasoning, where you start with a few general propositions or foundations that you assume to be true and then systematically prove more specific results.