File:P control chart.svg

Original file (SVG file, nominally 630 × 629 pixels, file size: 38 KB)

Summary

Description
English: Example en:p-chart for a process that experienced a 1.5σ drift starting at midnight.
Date
Source Own work
Author DanielPenfield

Creation technique

  1. Simulate process observations using en:perl, output to file.
  2. Read file into R, use qcc package to render control chart.
  3. Save to PDF.
  4. Import into en:Inkscape, save to SVG.
#!/usr/bin/perl -w  use strict; use Math::Random;  my %shiftSchedule = (     "first" =>  { "start" =>  6.00, "end" => 14.00 },     "second" => { "start" => 14.00, "end" => 22.00 },     "third" =>  { "start" => 22.00, "end" =>  6.00 } ); my $shift = "third";         # shift to monitor my $inspectionRate = 1 / 2;  # every 1/2 hour my $drift = 1.5;             # sigma drift to simulate my $m = 25;                  # samples in control chart setup my $target = 0.10;           # fraction nonconforming target  my $p = $target; my $n =                      # observations per sample     int((9 * $p * (1 - $p)) / ($drift * $p * $drift * $p) + 0.5); my $hour; my $i; my $minute; my $observation; my $setupM = $m;  print "timestamp sample sampleSize observation phase\r\n";  for ($i = 1; $i <= $m; $i++) {     $observation = Math::Random::random_binomial(1, $n, $p);     printf "     0:00 %6d     %6d          %2d setup\r\n", $i, $n, $observation; }  $m = $shiftSchedule{$shift}{"end"} - $shiftSchedule{$shift}{"start"}; if ($m < 0) {     $m += 24; } $m /= $inspectionRate; for ($i = 1; $i <= $m; $i++) {     $hour = int($i * $inspectionRate + $shiftSchedule{$shift}{"start"});     if ($hour >= 24) { 	$hour -= 24;     }     $minute = ($i & 0x1) ? (60 * $inspectionRate) : 0;     if ($i >= (0.25 * $m)) { 	if ($i < (0.75 * $m)) { 	    $p = $target + ($drift * $target / (0.5 * $m)) * ($i - (0.25 * $m)); 	} else { 	    $p = $target + $drift * $target; 	}     }     $observation = Math::Random::random_binomial(1, $n, $p);     printf "    %2d:%02d %6d     %6d          %2d monitoring\r\n", $hour, $minute, $setupM + $i, $n, $observation; } 


 
This chart was created with R by v.

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
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GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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16 January 2010

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current21:49, 16 January 2010Thumbnail for version as of 21:49, 16 January 2010630 × 629 (38 KB)DanielPenfield{{Information |Description={{en|1=Example en:p-chart for a process that experienced a 1.5σ drift starting at midnight.}} |Source={{own}} |Author=DanielPenfield |Date=2010-01-16 |Permission= |other_versions= }} [[Category:Con

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