Deming's funnel
sub mean { @_ R/ [+] @_ }
sub stddev {
# <(x - <x>)²> = <x²> - <x>²
sqrt( mean(@_ »**» 2) - mean(@_)**2 )
}
constant @dz = <
-0.533 0.270 0.859 -0.043 -0.205 -0.127 -0.071 0.275
1.251 -0.231 -0.401 0.269 0.491 0.951 1.150 0.001
-0.382 0.161 0.915 2.080 -2.337 0.034 -0.126 0.014
0.709 0.129 -1.093 -0.483 -1.193 0.020 -0.051 0.047
-0.095 0.695 0.340 -0.182 0.287 0.213 -0.423 -0.021
-0.134 1.798 0.021 -1.099 -0.361 1.636 -1.134 1.315
0.201 0.034 0.097 -0.170 0.054 -0.553 -0.024 -0.181
-0.700 -0.361 -0.789 0.279 -0.174 -0.009 -0.323 -0.658
0.348 -0.528 0.881 0.021 -0.853 0.157 0.648 1.774
-1.043 0.051 0.021 0.247 -0.310 0.171 0.000 0.106
0.024 -0.386 0.962 0.765 -0.125 -0.289 0.521 0.017
0.281 -0.749 -0.149 -2.436 -0.909 0.394 -0.113 -0.598
0.443 -0.521 -0.799 0.087
> Z+ (1i X* <
0.136 0.717 0.459 -0.225 1.392 0.385 0.121 -0.395
0.490 -0.682 -0.065 0.242 -0.288 0.658 0.459 0.000
0.426 0.205 -0.765 -2.188 -0.742 -0.010 0.089 0.208
0.585 0.633 -0.444 -0.351 -1.087 0.199 0.701 0.096
-0.025 -0.868 1.051 0.157 0.216 0.162 0.249 -0.007
0.009 0.508 -0.790 0.723 0.881 -0.508 0.393 -0.226
0.710 0.038 -0.217 0.831 0.480 0.407 0.447 -0.295
1.126 0.380 0.549 -0.445 -0.046 0.428 -0.074 0.217
-0.822 0.491 1.347 -0.141 1.230 -0.044 0.079 0.219
0.698 0.275 0.056 0.031 0.421 0.064 0.721 0.104
-0.729 0.650 -1.103 0.154 -1.720 0.051 -0.385 0.477
1.537 -0.901 0.939 -0.411 0.341 -0.411 0.106 0.224
-0.947 -1.424 -0.542 -1.032
>);
constant @rule =
-> \z, \dz { 0 },
-> \z, \dz { -dz },
-> \z, \dz { -z - dz },
-> \z, \dz { z + dz },
;
for @rule {
say "Rule $(++$):";
my $target = 0i;
my @z = gather for @dz -> $dz {
take $target + $dz;
$target = .($target, $dz)
}
printf "Mean x, y : %7.4f %7.4f\n", mean(@z».re), mean(@z».im);
printf "Std dev x, y : %7.4f %7.4f\n", stddev(@z».re), stddev(@z».im);
}
Output:
Rule 1:
Mean x, y : 0.0004 0.0702
Std dev x, y : 0.7153 0.6462
Rule 2:
Mean x, y : 0.0009 -0.0103
Std dev x, y : 1.0371 0.8999
Rule 3:
Mean x, y : 0.0439 -0.0063
Std dev x, y : 7.9871 4.7784
Rule 4:
Mean x, y : 3.1341 5.4210
Std dev x, y : 1.5874 3.9304
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