Message350100
Several thoughts:
* OVL was used often in the finance firm where I worked.
* It provides a simple, easy to understand point estimate
of the similarity or overlap between two PDFs.
* It was far easier to use than a Students-t test to answer
the question of how similar two normal distributions
are and it is more precise than the more common technique
of just running overlapping plots and doing it by eye.
* It isn't easy for end-users to do this themselves
without running an integration.
* It is well defined and well motivated:
See: "The overlapping coefficient as a measure of agreement
between probability distributions and point estimation of the
overlap of two normal densities" -- Henry F. Inman and
Edwin L. Bradley Jr
http://dx.doi.org/10.1080/03610928908830127
See also: https://www.rasch.org/rmt/rmt101r.htm
And: http://www.iceaaonline.com/ready/wp-content/uploads/2014/06/MM-9-Presentation-Meet-the-Overlapping-Coefficient-A-Measure-for-Elevator-Speeches.pdf
Perhaps, the wording can be improved on the male/female height example. Measured to finite precision, perhaps to the nearest centimeter, there will be overlaps. This is same kind of binning done with chi-square tests to compare how well two distributions match.
AFAICT, this tool is well-defined, tested, and has legitimate use cases that are easy to achieve in other ways using only standard library tools. |
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Date |
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2019-08-21 17:39:40 | rhettinger | set | recipients:
+ rhettinger, mark.dickinson, steven.daprano, Christoph.Deil |
2019-08-21 17:39:40 | rhettinger | set | messageid: <1566409180.0.0.177150548315.issue37905@roundup.psfhosted.org> |
2019-08-21 17:39:39 | rhettinger | link | issue37905 messages |
2019-08-21 17:39:39 | rhettinger | create | |
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