I find that a histogram of the data sorted by count, is useful in many
cases, in place of the mode:
]n=.?10#15
9 13 6 9 13 13 10 14 7 14
h{"1~\:1{h=.(~.,:#/.~)n
13 9 14 6 10 7
3 2 2 1 1 1
I'm sure there are more concise ways to express this, and it would be nice
to have vertical boxes for each quantity, but this gets what I need done.
Skip
Skip Cave
Cave Consulting LLC
On Fri, Jul 24, 2020 at 1:47 PM Raul Miller <[email protected]> wrote:
> https://en.wikipedia.org/wiki/Mode_(statistics)#Uniqueness_and_definedness
>
> "Finally, as said before, the mode is not necessarily unique. Certain
> pathological distributions (for example, the Cantor distribution) have
> no defined mode at all."
>
> That said, just as we can redefine median to be the mean of the two
> median values when the length of the sequence is even, we could
> redefine mode as the median of the candidate mode values when there is
> more than one "most frequently occuring value".
>
> Thanks,
>
> --
> Raul
>
> On Fri, Jul 24, 2020 at 2:36 PM Devon McCormick <[email protected]>
> wrote:
> >
> > Hi - I've started reading "Fun Q" which is a book on machine learning
> using
> > the q language. Early on, the author points out that his "mode"
> function -
> > where "mode" is stats-talk for "the most frequent observation" - is
> > order-dependent.
> >
> > I checked my own "mode" and found that this is true of mine as well:
> > mode
> > ~. {~ [: (i. >./) #/.~
> > mode 1 2 2 3 3
> > 2
> > mode 1 3 3 2 2
> > 3
> >
> > This might be an ill-defined statistical concept but does anyone have any
> > insight based on practice? Is this order-dependence just a weakness of
> the
> > definition of "mode"?
> >
> > I could not find "mode" defined in any of the J standard libraries.
> >
> > Thanks,
> >
> > Devon
> >
> > --
> >
> > Devon McCormick, CFA
> >
> > Quantitative Consultant
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