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`'BEGIN{OFMT="%.6f"}{split($1,col,",");asum+=col[1];a[NR]=col[1];bsum+=col[2];b[NR]=col[2]}END{amean=asum/NR;bmean=bsum/NR;for(i in a){as+=(a[i]-amean)^2;bs+=(b[i]-bmean)^2;sum+=(a[i]-amean)*(b[i]-bmean)};astddev=sqrt(as/NR);bstddev=sqrt(bs/NR);print sum/NR/astddev/bstddev}'`,
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+
`'BEGIN{OFMT="%.${awkPrecision}f"}{split($1,col,",");asum+=col[1];a[NR]=col[1];bsum+=col[2];b[NR]=col[2]}END{amean=asum/NR;bmean=bsum/NR;for(i in a){as+=(a[i]-amean)^2;bs+=(b[i]-bmean)^2;sum+=(a[i]-amean)*(b[i]-bmean)};astddev=sqrt(as/NR);bstddev=sqrt(bs/NR);print sum/NR/astddev/bstddev}'`,
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);
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returnbash.join(" ");
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})();
@@ -118,7 +128,7 @@ if (binSize === null) {
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}
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bash.push("| sort -n | awk");
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bash.push(
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-
`'BEGIN{OFMT="%.6f"}NR==1{min=$1}{if(0==$1)zeros++;if($1<0)neg++;sum+=$1;d[NR]=$1}END{avg=sum/NR;for(i in d)s+=(d[i]-avg)^2;stddev=sqrt(s/(NR-1));q1=(3*d[int((NR-1)/4)+1]+d[int((NR-1)/4)+2])/4;q3=(d[int(3*(NR-1)/4)+1]+3*d[int(3*(NR-1)/4)+2])/4;iqr=q3-q1;stur=1+log(NR)/log(2);sturi=int(stur);sturges=stur>sturi?sturi+1:sturi;max=d[NR];range=max-min;sqrtnr=sqrt(NR);threerootnr=exp(log(NR)/3);print stddev,avg,sum,NR,max,min,sqrt(s/(NR-1))/sqrtnr,s/(NR-1),(NR%2)?d[(NR+1)/2]:(d[NR/2]+d[NR/2+1])/2,avg+stddev,avg-stddev,avg+2*stddev,avg-2*stddev,avg+3*stddev,avg-3*stddev,range/sturges,(3.5*stddev)/threerootnr,q1,q3,iqr,q1-1.5*iqr,q3+1.5*iqr,range/sqrtnr,2*iqr/threerootnr,range,zeros,zeros*100/NR,neg,neg*100/NR,stddev/avg}'`,
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`'BEGIN{OFMT="%.${awkPrecision}f"}NR==1{min=$1}{if(0==$1)zeros++;if($1<0)neg++;sum+=$1;d[NR]=$1}END{avg=sum/NR;for(i in d)s+=(d[i]-avg)^2;stddev=sqrt(s/(NR-1));q1=(3*d[int((NR-1)/4)+1]+d[int((NR-1)/4)+2])/4;q3=(d[int(3*(NR-1)/4)+1]+3*d[int(3*(NR-1)/4)+2])/4;iqr=q3-q1;stur=1+log(NR)/log(2);sturi=int(stur);sturges=stur>sturi?sturi+1:sturi;max=d[NR];range=max-min;sqrtnr=sqrt(NR);threerootnr=exp(log(NR)/3);print stddev,avg,sum,NR,max,min,sqrt(s/(NR-1))/sqrtnr,s/(NR-1),(NR%2)?d[(NR+1)/2]:(d[NR/2]+d[NR/2+1])/2,avg+stddev,avg-stddev,avg+2*stddev,avg-2*stddev,avg+3*stddev,avg-3*stddev,range/sturges,(3.5*stddev)/threerootnr,q1,q3,iqr,q1-1.5*iqr,q3+1.5*iqr,range/sqrtnr,2*iqr/threerootnr,range,zeros,zeros*100/NR,neg,neg*100/NR,stddev/avg}'`,
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