factor/contrib/math/statistics.factor

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2005-10-25 21:54:19 -04:00
IN: math-contrib
USING: kernel math sequences ;
: mean ( seq -- n )
#! arithmetic mean, sum divided by length
[ sum ] keep length / ;
: geo-mean ( seq -- n )
#! geometric mean, nth root of product
[ product ] keep length swap nth-root ;
: median ( seq -- n )
#! middle number if odd, avg of two middle numbers if even
number-sort dup length dup even? [
1+ 2 /i dup 1- rot [ nth ] keep swapd nth + 2 /
] [
2 / swap nth
] if ;
: range ( seq -- n )
#! max - min
number-sort [ pop ] keep first - ;
: var ( seq -- )
#! variance, normalize by N-1
dup length 1- dup 0 = [
0 2nip
] [
swap [ mean ] keep [ over - sq ] map sum nip swap /
] if ;
: std
#! standard deviation, sqrt of variance
var sqrt ;