A forgotten fact about the standard deviation

A deceptive fact about functions

The paper provides a proof of a combinatorial result which pertains to the characterization of the set of equations which are solvable in the composition monoid of all partial functions on an infinite set.

A Standard Error: Distinguishing Standard Deviation From Standard Error

A recent Perspective in Nature issued a call for more transparency in the reporting of preclinical research (1). Although this article focused primarily on experimental design, it emphasized the need for improved reporting in the scientific literature. Within the context of preclinical studies, there have been discussions regarding the appropriate reporting of standard error (SE) and standard d...

How to Mistake a Trivial Fact About Probability For a Substantive Fact About Justified Belief

It is sometimes thought that the lottery paradox and the paradox of the preface demand a uniform solution (Hunter (1996) and Foley (1992), for example). Let us see why that appears to be the case. I am justified in believing that my lottery ticket—call it t1—will not win, on statistical grounds. Those grounds apply equally to any other ticket, so I am justified in believing of any other ticket ...

Standard Deviation as a Query Hardness Estimator

In this paper a new Query Performance Prediction method is introduced. This method is based on the hypothesis that different score distributions appear for ‘hard’ and ‘easy’ queries. Following we propose a set of measures which try to capture the differences between both types of distributions, focusing on the dispersion degree among the scores. We have applied some variants of the classic stan...

Finding Standard Deviation of a Fuzzy Number