Refactor of math.statistics
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! Copyright (C) 2008 Doug Coleman, Michael Judge.
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! See http://factorcode.org/license.txt for BSD license.
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USING: kernel math math.analysis math.functions math.vectors sequences
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sequences.lib sorting ;
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USING: arrays kernel math math.analysis math.functions sequences sequences.lib
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sorting ;
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IN: math.statistics
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: mean ( seq -- n )
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@ -19,10 +19,10 @@ IN: math.statistics
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: median ( seq -- n )
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#! middle number if odd, avg of two middle numbers if even
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natural-sort dup length dup even? [
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1- 2 / swap [ nth ] [ [ 1+ ] dip nth ] 2bi + 2 /
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natural-sort dup length even? [
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[ midpoint@ dup 1- 2array ] keep nths mean
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] [
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2 / swap nth
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[ midpoint@ ] keep nth
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] if ;
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: range ( seq -- n )
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@ -44,14 +44,14 @@ IN: math.statistics
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: ste ( seq -- x )
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#! standard error, standard deviation / sqrt ( length of sequence )
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dup std swap length sqrt / ;
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[ std ] [ length ] bi sqrt / ;
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: ((r)) ( mean(x) mean(y) {x} {y} -- (r) )
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! finds sigma((xi-mean(x))(yi-mean(y))
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0 [ [ >r pick r> swap - ] bi@ * + ] 2reduce 2nip ;
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0 [ [ [ pick ] dip swap - ] bi@ * + ] 2reduce 2nip ;
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: (r) ( mean(x) mean(y) {x} {y} sx sy -- r )
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* recip >r [ ((r)) ] keep length 1- / r> * ;
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* recip [ [ ((r)) ] keep length 1- / ] dip * ;
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: [r] ( {{x,y}...} -- mean(x) mean(y) {x} {y} sx sy )
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first2 [ [ [ mean ] bi@ ] 2keep ] 2keep [ std ] bi@ ;
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