Statistical Process Control

THE UNIVERSITY OF NORTHAMPTON

NORTHAMPTON BUSINESS SCHOOL

MODULE: Operations Management

20

19-2020

Module Code	Level	Credit Value	Module Tutors
BSOM046	7	20	Dr Melvin Goh Dr Andrew Gough

Assignment Brief

Assignment title:

Statistical Process Control

Weighting:

40%

Deadline:

9 November 2020

Feedback and Grades due:

14 December 2020

Resit Date

1 Feb 2021

Purpose of the Assessment

This assignment is designed to enable you to demonstrate an understanding of the role of statistical process control in informing management decisions relating to quality.

Assessment Task

You will conduct a review of the academic literature on the subject of statistical process control.

Following your review, you are to analyse a given set of data to evaluate the performance of a fictional tannery in a given scenario.

You will be expected to illustrate your discussion with examples from academic journals, the trade press and other authoritative sources.

Assessment Breakdown

1. Prepare a literature review on the subject of statistical process control, covering the concept from its inception up to the present day.

Ensure that you include references to at least 10 peer-reviewed articles, no more than ten years old. You may also find relevant reviews in the trade press and from other authoritative sources.

(50% of word count)

2. The supplied spreadsheet contains historic data recording the temperature of combined effluent discharged by a fictional tannery, Waterside Leather Limited (WLL) over the past four months.

The tannery’s discharges are normally controlled within the range 25oC to 35oC. The maximum permitted temperature is 40oC. Regular maintenance is performed on the balancing system (which neutralises the pH of the effluent at the expense of heating the discharge in the process) on a monthly basis.

Use the data to visualise the performance of the effluent control process, describing your analytical approach in detail. Include any graphs generated.

In your view, how well has the plant performed?

In your judgement, what priorities for quality improvements should the plant management set?

(50% of word count)

Assessment Guidance

The quality of your presentation and academic referencing is very important. Please, use the Harvard Referencing System.

Within your assignment your tutor will be looking for content that addresses the key elements of the assignment brief.

Try not to overcomplicate your answers. Keep to simple processes that you know well.

Look at the Check list at the end of this brief. It shows the subheadings to use and offers a guide as to how the marks will be distributed.

Use the percentages as a guide to how to distribute your word count.

Academic Practice

This is an
individual
assignment. The University of Northampton policy will apply in all cases of copying, plagiarism or any other methods by which students have obtained (or attempted to obtain) an unfair advantage.

Support and guidance on assessments and academic integrity can be found from the following resources

Assessment Submission

 

To submit your work, please go to the ‘Submit your work’ area on the NILE site and use the relevant submission point to upload your report. The deadline for this is 11.59pm (UK local time) on the date of submission. 

 

Written work submitted to TURNITIN will be subject to anti-plagiarism detection software.  Turnitin checks student work for possible textual matches against internet available resources and its own proprietary database.   

 

When you upload your work correctly to TURNITIN you will receive a receipt which is your record and proof of submission.  

 

If your assignment is not submitted to TURNITIN rather than a receipt you will see a green banner at the top of the screen that denotes successful submission.

Your assignment must be word processed and presented in a report format with simple sub-headings. The word count should be 1600 words ±10% (tables, diagrams and appendices are excluded from the count).

The Assignment report should have a Front Sheet showing your name, your student number, the module name, the module number, the assignment title, the module tutor’s name, the date and the word count

 

N.B Work emailed directly to your tutor will not normally be marked. The only exception to this is when you are instructed to do so because TURNITIN is down.  

 

Late submission of work 

For first sits, if an item of assessment is submitted late and an extension has not been granted, the following will apply: 

 

· Within one week of the original deadline – work will be marked and returned with full feedback and awarded a maximum bare pass grade. 

· More than one week from original deadline – maximum grade achievable LG (L indicating late). 

 

At the second opportunity deadline (resits) work submitted late will be awarded a LG grade. There is no opportunity to submit work late for a bare pass. 

 

Extensions 

The University of Northampton’s general policy with regard to extensions is to be supportive of students who have genuine difficulties, but not against pressures of work that could have reasonably been anticipated.   

 

For full details please refer to the 

Extensions Policy

.  The module leader can, where appropriate, authorise a short extension of up to two weeks from the original submission date for first sits only. There are NO extensions for resits. The TWO weeks means 14 calendar days including weekends and any University closed days. 

 

Mitigating Circumstances 

For guidance on Mitigating circumstances please go to 

Mitigating Circumstances 

 where you will find detailed guidance on the policy as well as guidance and the form for making an application. 

 

Please note, however, that an application to defer an assessment on the grounds of mitigating circumstances should normally be made in advance of the submission deadline or examination date.   

 

Plagiarism and Academic Integrity  

Unless this is a group assignment, the work you produce must be your own with work taken from any other source properly referenced and attributed. The University of Northampton policy will apply in all cases of copying, plagiarism or any other methods by which students have obtained (or attempted to obtain) an unfair advantage. 

 

If you are in any doubt about what constitutes plagiarism or any other infringement of academic integrity, please read the University’s 

Academic Integrity and Misconduct Policy

. For help with understanding academic integrity go to 

UNPAC

  and follow the 

Top Tips for Good Academic Practice

 on the student hub.  

 

Please note that the University of Northampton puts all written assignments through detection software which detects if work has been plagiarised (copied) from other students (past or present and whether at UON or any other university), books, journals or internet sources. Copied materials WILL be detected. The penalties for copying work from another source without proper referencing are severe and can include failing the assignment, failing the module and expulsion from the university. 

 

Feedback and Grades 

These can be accessed through clicking on the Feedback and Grades tab on NILE. Feedback will be provided by a rubric with summary comments.

All assignments will be submitted, graded and fed-back electronically via TURNITIN. Several submissions will be permitted before the hand-in date in order to enable you to refine the content in your report.

If you click on the “Submit Your Work” button on the Module NILE site, you will find an explanation of the Submission and Grading Electronically process there.

Feedback on assignments in general will be provided to the whole group when marked assignments are returned.

Feedback on assignments for each individual will be provided electronically via TURNITIN.

A student may obtain an individual appointment to discuss feedback with the tutor.

BSOM046 OPERATIONS MANAGEMENT

ASS’T 1 “Report Content Checklist”

STUDENT NAME AND REPORT FRONT SHEET:

LITERATURE SEARCH (50%)

– Prepare a literature review on the subject of statistical process control.

ANALYSIS AND EVALUATION (50%)

– Use the data to visualise the performance of the effluent control process

· Describe your analytical approach in detail.

· Include any graphs generated.

· How well has the plant performed?

· What priorities for quality improvements should the plant management set?

MAX WORD COUNT 1600 +/- 10%

Learning outcomes

The learning outcomes being addressed through this assignment are:

a) Identify and integrate relevant data/information/literature from a range of self-identified sources.

e) Devise and sustain an argument, supported by valid/significant, evaluated evidence, including some elements which are new/original/unusual and may offer new insights or hypotheses.

f) Demonstrate ability to relate theory to practise and critically assess organisational problems in order to design specific responses to address the issues identified.

Rubric Assignment 1: Statistical Process Control

Learning Outcomes addressed through this assignment	No submission / no evidence	Fail	Pass	Merit	Distinction
Identify and integrate relevant data/information/literature from a range of self-identified sources.	Work submitted is of no academic value / nothing submitted	Evidence included or provided but missing in some very important aspects.	Clearly demonstrates evidence of achieving the requirements of the learning outcomes	Of high quality, demonstrating evidence which is rigorous and convincing, appropriate to the task or activity	Of very high quality, demonstrating evidence which is strong, robust and consistent, appropriate to the task or activity
Devise and sustain an argument, supported by valid/significant, evaluated evidence, including some elements which are new/original/unusual and may offer new insights or hypotheses.	Results are presented incompletely with no real interpretation or analysis	Results are presented fully and clearly with some limited internal analysis and interpretation	Results are presented fully and analysed and interpreted effectively with clear links back to the objectives and the literature with reflection on limitations.	Complex and sophisticated analysis & interpretation of the material, excellent integration with literature and objectives, and critical discussion of value and limitations of data.
Demonstrate ability to relate theory to practise and critically assess organisational problems in order to design specific responses to address the issues identified.	Your answer did not explain, evaluate and discuss the issues raised by the question in sufficient depth. Much more depth of analysis is required at degree level.	Clear evidence of solid independent research; clear evidence of extensive background reading and use of a wide range of appropriate sources, including journal articles; Engagement with relevant primary sources.	Evidence of independent research and competent use of a good range of sources, including journal articles; confident handling of relevant primary sources.	High volume of relevant material used effectively from an extensive and original range of sources. Work demonstrates extensive wider reading and independent research of the subject with an exemplary balance of primary and secondary sources
Academic / Professional quality	Poor command of academic / professional conventions appropriate to the discipline.	Sound command of academic / professional conventions sufficient and appropriate to the discipline	Rigorous command of academic / professional conventions appropriate to the discipline.	Authoritative command of academic / professional conventions appropriate to the discipline.

Table of Control Chart Constants

X-bar Chart for sigma R Chart Constants S Chart Constants
Constants estimate

Sample
Size = m

A2 A3 d2 D3 D4 B3 B4
2 1.880 2.659 1.128 0 3.267 0 3.267
3 1.023 1.954 1.693 0 2.574 0 2.568
4 0.729 1.628 2.059 0 2.282 0 2.266
5 0.577 1.427 2.326 0 2.114 0 2.089
6 0.483 1.287 2.534 0 2.004 0.030 1.970
7 0.419 1.182 2.704 0.076 1.924 0.118 1.882
8 0.373 1.099 2.847 0.136 1.864 0.185 1.815
9 0.337 1.032 2.970 0.184 1.816 0.239 1.761
10 0.308 0.975 3.078 0.223 1.777 0.284 1.716
11 0.285 0.927 3.173 0.256 1.744 0.321 1.679
12 0.266 0.886 3.258 0.283 1.717 0.354 1.646
13 0.249 0.850 3.336 0.307 1.693 0.382 1.618
14 0.235 0.817 3.407 0.328 1.672 0.406 1.594
15 0.223 0.789 3.472 0.347 1.653 0.428 1.572
16 0.212 0.763 3.532 0.363 1.637 0.448 1.552
17 0.203 0.739 3.588 0.378 1.622 0.466 1.534
18 0.194 0.718 3.640 0.391 1.608 0.482 1.518
19 0.187 0.698 3.689 0.403 1.597 0.497 1.503
20 0.180 0.680 3.735 0.415 1.585 0.510 1.490
21 0.173 0.663 3.778 0.425 1.575 0.523 1.477
22 0.167 0.647 3.819 0.434 1.566 0.534 1.466
23 0.162 0.633 3.858 0.443 1.557 0.545 1.455
24 0.157 0.619 3.895 0.451 1.548 0.555 1.445
25 0.153 0.606 3.931 0.459 1.541 0.565 1.435

Control chart constants for X-bar, R, S, Individuals (called “X” or “I” charts), and MR (Moving Range) Charts.

NOTES: To construct the “X” and “MR” charts (these are companions) we compute the Moving Ranges as:

R2 = range of 1st and 2nd observations, R3 = range of 2nd and 3rd observations, R4 = range of 3rd and 4th
observations, etc. with the “average” moving range or “MR-bar” being the average of these ranges with the
“sample size” for each of these ranges being n = 2 since each is based on consecutive observations … this
should provide an estimated standard deviation (needed for the “I” chart) of

σ = (MR-bar)/d2 where the value of d2 is based on, as just stated, m = 2.

Similarly, the UCL and LCL for the MR chart will be: UCL = D4(MR-bar) and LCL = D3(MR-bar)

but, since D3 = 0 when n = 0 (or, more accurately, is “not applicable”) there will be no LCL for the MR chart,
just a UCL.