File:MATLABMovingAverageChart.png

Summary

Description
English: A MATLAB-generated moving average Control chart for a process that experienced a 1.5σ drift starting with the 63rd unit produced.
Date
Source Own work
Author DanielPenfield

Licensing

DanielPenfield, the copyright holder of this work, hereby publishes it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution:
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Category:CC-BY-SA-3.0#MATLABMovingAverageChart.pngCategory:Self-published work

Source code

The logo of Perl – interpreted programming language first released in 1987
The logo of Perl – interpreted programming language first released in 1987
This media was created with Perl (interpreted programming language first released in 1987)Category:Images with Perl source code
Here is a listing of the source used to create this file.

Deutsch  English  +/−

#!/usr/bin/perl -w

#
# randomly generate process observations that simulate a
# normally-distributed process in the state of statistical control
# (i_setup.csv) and simulate the same process experiencing a drift of
# magnitude $drift starting two hours into the $shift shift
# (i_monitoring.csv)
#

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;             # drift to simulate
my $m = 25;                  # samples in control chart setup
my $target = 100.0;          # quality characteristic target

my $i;
my $observation;
my $setupM = $m;

#
# simulate control chart setup
#
open(SETUPCSV, ">i_setup.csv") || die "! can't open \"i_setup.csv\" ($!)\n";
for ($i = 1; $i <= $m; $i++) {
    $observation = $target + random_normal();
    print SETUPCSV $observation . "\r\n";
}
close(SETUPCSV);

#
# simulate control chart monitoring
#
open(MONITORINGCSV, ">i_monitoring.csv") || die "! can't open \"i_monitoring.csv\" ($!)\n";

if ($m < 0) {
    $m += 24;
}
$m /= $inspectionRate;
for ($i = 1; $i <= $m; $i++) {
    $observation = $target + random_normal();
    if ($i >= (0.25 * $m)) {
        if ($i < (0.75 * $m)) {
            $observation += ($drift / (0.5 * $m)) * ($i - (0.25 * $m));
        } else {
            $observation += $drift;
        }
    }
    printf MONITORINGCSV "U%d,%7.3f\r\n", 2 * $setupM + $i, $observation;
}
close(MONITORINGCSV);

Source code

The logo of MATLAB – numerical computing environment
The logo of MATLAB – numerical computing environment
This media was created with MATLAB (numerical computing environment)Category:Images with MATLAB source code
Here is a listing of the source used to create this file.

Deutsch  English  +/−

%
% display an individuals moving average control chart in MATLAB
%
clear

%
% Phase I
%
% compute the control chart center line and control limits based on a
% process that is simulated to be in a state of statistical control
%
setupobservations = csvread('i_setup.csv');
setupstats = controlchart(setupobservations, 'charttype', 'ma');

%
% Phase II
%
% read in the process observations representing the monitoring phase
%
observations = importdata('i_monitoring.csv');

%
% first column is the time of the observation (24 hour clock)
%
halfhourlylabel = observations.rowheaders;

%
% second column consists of the observations (counts of
% nonconformances per rational subgroup)
%
monitoringobservations = observations.data;

%
% just display labels on the "on the hour" ticks
%
emptylabel = cell(size(monitoringobservations,1) - size(halfhourlylabel,1), 1);
emptylabel(:) = {''};
hourlylabel = vertcat(halfhourlylabel(10:10:end), emptylabel);

%
% plot the control chart for the monitoring phase observations
%
monitoringstats = controlchart(monitoringobservations, ...
							   'charttype', 'ma', ...
							   'label', halfhourlylabel.', ...
							   'mean', setupstats.mu, ...
							   'sigma', setupstats.sigma); % despite the name this appears to be a moving range
title('MA chart for quality characteristic XXX')
xlabel('Unit')
ylabel('Moving average (units)')
%
% the labels supplied to controlchart() only appear when the user
% selects a plotted point with her mouse--we have to explicitly
% set labels in the X axis if we want them
%
set(gca,'XTickLabel', hourlylabel)
This image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.
It is recommended to name the SVG file “MATLABMovingAverageChart.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.
Category:Other images that should use vector graphics#%20MATLABMovingAverageChart.pngCategory:PNG that should use vector graphics Category:Control charts created with MATLAB Category:Images with MATLAB source code Category:Images with Perl source code
Category:CC-BY-SA-3.0 Category:Control charts created with MATLAB Category:Images with MATLAB source code Category:Images with Perl source code Category:Other images that should use vector graphics Category:PNG that should use vector graphics Category:Self-published work