Statistics 361

Quality Improvement

for Industry

 

Spring 2003


 

 

Scott D Grimshaw

Associate Professor, Statistics Department

210 TMCB

801-422-6251

grimshaw@byu.edu

 

Office Hours: MWF 1-1:50 pm or by appt.

 

Course Lectures: MWF 10-10:50, 11-11:50 am in 254 TMCB

Lab: TTh 9,10,12 (depending on section) in 244 TMCB

 

Announcements

Final Exam 11:00-12:50 June 18

 

Exam 2 Grading Details Below

 

Term Paper Due Friday 13 June

 

Open Lab MWF 8-10, 12-2

 

 

Objectives

Course Description:

Statistics 361 will introduce topics in applied statistics that are useful in engineering and quality improvement. The course begins with a brief discussion of modern quality management philosophies and TQM (Total Quality Management) followed by an introduction to statistical methods that will be useful to engineers for implementing these quality philosophies. The course will cover an introduction to probability theory, basic descriptive statistics and statistical inference that provide provide background. Next, the methods of characterizing and improving processes through the design and analysis of experiments are discussed. Finally methods of monitoring industrial processes through the application of statistical process control (SPC) for reducing variation will be presented.

 

Prerequisite:

MATH 112 or 119

 

Course Goals:

The purpose of Stat 361 is to teach Engineers the modern quality philosophy that has revolutionized the job of product design and manufacturing and drastically improved the quality of manufactured products over the past 55 years. Along with teaching the philosophy of quality we also present two practical and usable tools the engineer can use to implement this philosophy.

 

  • The first tool taught to students in Stat 361 is the Deming PLAN-DO-CHECK-ACT cycle for solving system problems and eliminating common causes for variation which represent 95% of the problems in industry. What data should be collected, and how is it to be analyzed and interpreted to aid in decision making concerning industrial process improvements? A key tool here are statistical experimental designs. Students are taught specifically how to set up two-level factorial experiments, analyze the data and interpret the data and communicate the results in writing. This is done the hands on experiments, and writing assignments.

 

  • The second tool is the Shewhart Control Charts that is based on the normal distribution. It can be used by hourly workers in manufacturing along with engineers and managers to recognize the difference between assignable causes for product variation (responsibility of the local operator) and common causes responsibility of management. In addition to learning to read signals from the chart students are taught how to recognize specific types of assignable causes. Students will learn to appreciate the role of variation in data, and learn to make educated decisions in the face of uncertainty caused by such variation.

 

  • In order to understand Shewhart control charts and the analysis and graphical presentation and interpretation of data from designed experiments, students are be introduced to background material in descriptive statistics, probability theory and statistical inference.

 

 

Course Materials

Textbook: Modern Statistics for Engineering and Quality Improvement, by Lawson and Erjavec, Duxbury Press 2001. 

 

Chapter 1:

  Pareto Charts

Chapter 2:

  Shewhart

  Deming

  Six Sigma

  Baldrige Award

  Example of Control Charts

  Example of Experimental Design

Chapter 6:

  OC Curves

Chapter 7

Chapter 8

Chapter 9

Chapter 10:

  Regression Diagnostics

Chapter 16:

  Variance Component Estimation

Chapter 17:

  Process Capability

 

 

Grading

15% Homework

  5% Quizzes

25% Midterm Exam 1 (Grading Details)

25% Midterm Exam 2 (Grading Details)

10% Term Paper

20% Final Exam (11:00-12:50 June 18)

 

Tentative Lecture Schedule, Reading and Homework Assignments

 

Date

Topic

Book Sections

Homework Assignment

30 April

Scientific Method and QC

Chapt. 1 &  2.1-2.3

1.1, 1.3, 1.4, 1.6, 2.2, 2.4 ,2.8

2 May

Demings' 14 Points

2.4-2.6

2.6

5 May

Probability & R.V.'s

3.1-3.4

3.1, 3.2, 3.3, 3.5, 3.6, 3.7

7 May

Expected Values

3.5-3.8

3.8, 3.9, 3.15

9 May

Data Analysis

4.1-4.5

4.1, 4.2 a-c, 4.3

12 May

Statistical Inference

6.1-6.4

6.1 a,c,  6.6

14 May

Enum & Analytic

6.4-6.5

6.2, 6.3, 6.5

16 May

Review

 

 

19 May

Exam 1

 

 

21 May

Experimental Strategies

Chapter 7

7.1, 7.2, 7.4

23 May

2-Level Factorials

8.1-8.8

8.1 a-b, 8.2

26 May

Holiday

 

 

28 May

Unreplicated 2k

8.9, Chapt 5, 8.10, 8.11, 8.13

5.3, 8.7

30 May

Additional Tools

9.1-9.3

9.1, 9.2

2 June

Linear Regression, Additivity of Variance

10.1-10.3, 16.1

10.1, 16.1

4 June

Review

 

 

6 June

Exam 2

 

 

9 June

Var Comp, Theory CC

16.2, 17.1-17.3

16.7 b, 17.2 a-b

11 June

Variable Control Charts

17.4-17.5.3

17.2 c-d, 17.3 a, 17.5

13 June

Attribute CC

17.5.4-17.6.4

17.7, 17.8, 17.9

16 June

Capability & Review

17.7, 17.8

17.3, 17.11

 

The homework assignments listed on the schedule below will be due at 5:00 PM the class period following the date of the assignment. For example the assignment listed for Wednesday 30 April will be due Friday 2 May by 5:00PM. Homework is turned in by dropping it in the mail slot outside room 244.  Assignments will be checked off and returned in the following Lab period. To receive credit, you must include your name and lab section number on your assignment. Detailed homework solutions will be posted on the web. Late homework assignments will receive half credit. 

 

Homework Solutions

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 6 (1) (2,3,5,6)

Chapter 7

Chapter 8

Chapter 9

Chapter 16 (1) (7b)

Chapter 17

 

Tentative Lab Schedule

 

Week

Lab Activity

29 April

Helicopters

1 May

Bead Manufacturing

6 May

Excel Probability Calculations I

8 May

Excel Probability Calculations II

13 May

Paper Clip Data Collection

15 May

Excel Descriptive Statistics

20 May

Catapult Data Collection

22 May

Catapult Analysis I

27 May

Catapult Analysis II

29 May

Help On Term Paper Reports

3 June

Regression on Excel

5 June

Measure Parts

10 June

Control Charts on Excel

12 June

Review Exams

 

 

Lab Handouts

Excel Probability Calculations:

  Binomial

  Poisson

  Exponential

  Normal

Paper Clip Data Collection

Excel Descriptive Statistics

Catapult Data Collection, Analysis, and Report

 

 

Term Paper

Term Paper will consist of memo style report of one set of data collected from a 23 experiment performed in the lab. Detailed descriptions of the required format are provided in the Catapult Lab Handout above.

 

Term Paper is Due Friday 13 June.

 

 

Data Sets

Table 17.2 Chemical Assay Data

Table 17.4 Thrust Washer Thickness Data

Table 17.5 pH of Chemical Solution Data

Table 17.11 Circuit Board Assembly Errors

Table 17.12 Radiator Leaks

 

 

Class Examples and Code

 

 

Other Stuff

 

 

Preventing Sexual Harassment

Title IX of the Education Amendments of 1972 prohibits sex discrimination against any participant in an educational program or activity that receives federal funds. The act is intended to eliminate sex discrimination in education. Title IX covers discrimination in programs, admission, activities, and student-to-student sexual harassment. BYU’s policy against sexual harassment extends not only to employees of the university but to students. If you encounter unlawful sexual harassment or gender based discrimination, please talk to your professor; contact the campus EEO office at 422-5895; or contact the Honor Code Office (422-2847).

 

In Case of Emergency

Please follow instructor’s instructions:

  • If there is an evacuation alarm exit the classroom in an orderly fashion and exit the Talmage Building and gather in the west parking lot.
  • After all students have evacuated the building you should then report to your BYU ward assembly area. (If you do not know where this is, contact your Bishop.)

 

Students with Disabilities

Please let me know if you have any disability that could potentially affect your success in the course. I am highly confident that arrangements or modifications can be made. The BYU Services for Students with Disabilities Office (422-2767) is available to coordinate such matters.

 

Complaints

I have done my best to design a course that will accomplish course objectives while recognizing the workload of a three credit hour class. If you have any concerns regarding any aspect of this course (content, workload, evaluation, etc), please come and discuss these matters with me. If we cannot come to a mutually agreeable solution, I will direct you to my superiors.