Just another update
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/*REXX program does a permutation test on N + M subjects (volunteers):*/
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/* ↑ ↑ */
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/* │ │ */
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/* │ └─────control population*/
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/* └────────treatment population*/
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/* ↑ ↑ */
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/* │ │ */
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/* │ └─────control population*/
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/* └────────treatment population*/
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n=9
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data=85 88 75 66 25 29 83 39 97 68 41 10 49 16 65 32 92 28 98
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w=words(data); m=w-n
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say 'volunteer population given treatment:' right(n,length(w))
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say ' control population given a placebo:' right(m,length(w))
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say 'volunteer population given treatment:' right(n,length(w))
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say ' control population given a placebo:' right(m,length(w))
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say
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say 'treatment population efficacy % (percentages):' subword(data,1,n)
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say ' control population placebo % (percentages):' subword(data,n+1)
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say 'treatment population efficacy % (percentages):' subword(data,1,n)
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say ' control population placebo % (percentages):' subword(data,n+1)
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say
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do v= 0 for w ; #.v=word(data,v+1) ; end
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treat=0; do i= 0 to n-1 ; treat=treat+#.i ; end
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total=1; do j=19 to m+1 by -1 ; total=total*j ; end
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do k= 9 to 1 by -1 ; total=total/k ; end
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gt=pick(n+m, n, 0)
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do v= 0 for w ; #.v=word(data,v+1) ; end
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treat=0; do i= 0 to n-1 ; treat=treat+#.i ; end
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total=1; do j=19 to m+1 by -1 ; total=total*j ; end
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do k= 9 to 1 by -1 ; total=total/k ; end
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gt=picker(n+m, n, 0)
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le=total-gt
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say "<= " format(100*le/total,,3)'%' le /*show 3 decimal places.*/
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say " > " format(100*gt/total,,3)'%' gt
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say "<= " format(100*le/total,,3)'%' le /*show 3 decimal places.*/
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say " > " format(100*gt/total,,3)'%' gt
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exit /*stick a fork in it, we're done.*/
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/*──────────────────────────────────PICK subroutine─────────────────────*/
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pick: procedure expose #. treat; parse arg it,rest,eff
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/*──────────────────────────────────PICKER subroutine───────────────────*/
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picker: procedure expose #. treat; parse arg it,rest,eff
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if rest==0 then return eff>treat
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if it>rest then q=pick(it-1, rest, eff)
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if it>rest then q=picker(it-1, rest, eff)
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else q=0
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itP=it-1
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return pick(itP, rest-1, eff+#.itP) + q
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return picker(itP, rest-1, eff+#.itP) + q
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