MIME 6720-901
Design of Experiments (Fall 2012)
Instructor: Professor H. Zhang, Ph.D.
Office: Nitschke Hall 4031
Phone: 530-6019
Email: hongyan.zhang@eng.utoledo.edu
Class Time: N/A
Class Room: N/A
Office Hours: Monday: 1:00 – 3:30 pm
Wednesday: 1:00 – 3:30 pm
(Available via desk phone. Other time is available by appointment. Email
is received 24/7.)
Text Book: Design and Analysis of Experiments, 7th edition, by D. C. Montgomery, John
Wiley & Sons, New York 2009
Main Reference Books: Experiments: Planning, Analysis, and Parameter Design
Optimization, by C. F. J. Wu and M. Hamada, John Wiley & Sons, New
York 2000
Class notes/handouts: will be made available on my web page
(http://www.eng.utoledo.edu/~hozhang/) usually one day before
class.
Communication: meet me in person during office hours, call my desk phone, or email me.
Deadlines: All assigned work must be turned in, electronically or using hardcopy, by the
deadlines specified in the class schedule which is the same for the regular
session.
Prerequisite: Graduate standing.
Course Description
All experiments conducted by engineers and scientists are designed experiments, whether
consciously or unconsciously. A well-designed experiment requires efficient and
effective plan, design, conducting and analysis of experiments to obtain objective
conclusions.
This course is a basic course in designing experiments and analyzing the resulting data.
It deals with the types of experiments that are frequently conducted in industrial settings.
The prerequisite background is a basic working knowledge of statistical methods.
Understanding basic statistical concepts/methods is required, however, they will be
briefly reviewed as they are needed in the course. You will learn how to plan, conduct
and analyze experiments efficiently. Design and analysis of experiments including analysis of
variance and regression analysis will be covered. Factorial, blocked and nested models are
considered together with appropriate estimation and post ANOVA tests. Computer software
packages (such as Minitab) to implement the methods presented are needed, and you will
have opportunities to use them for homework assignments and the term project.
Design of Experiments (MIME 6720/8720-001) Syllabus
Page 1 of 3. Modified 03/09/16
Project
The project consists of planning, designing, conducting and analyzing an experiment,
using appropriate DOE (DOX) principles. One written report and one oral presentation
(if time permits) are required. The topics can be on any subjects that require the use of
design of experiments principles and procedures. It is suggested that students choose
topics directly related to their own research projects. This is a nice way to get extramileage from this course. However, as many experiments require significant resources to
finish, it is your responsibility to make sure that your chosen project will be completed by
the deadline. Depends on the size of the class, an oral presentation may be arranged at
the end of the semester.
Grading Policy:
Homework:
Project Report/Presentation:
First Test:
Second Test:
10%
10%
40%
40%
Procedure of conducting exams and submitting completed works:
1. Homework is due two weeks after it’s assigned. Students are required to scan
their completed works and submit them electronically to the instructor;
2. The exams will be conducted at the same time scheduled for the regular class,
with an allowance for downloading, printing, scanning, and uploading the exam
sheets. The exam sheets will be emailed to each student. The students are
responsible to print the exam sheets, solve the problems, scan the completed work
sheets and send them back to the instructor electronically. Other arrangements
can be made if following this procedure is proven difficult-discuss with the
instructor prior to the deadline.
A class average grade will be determined based on the class performance, and the final
grades for individuals will be determined accordingly.
Date
Aug. 20
Lect.
#
1
Aug. 22
2
Aug. 27
3
Aug. 29
4
Course Outline and Schedule
Topic
Introduction to design of experiments,
review of basic statistical concepts
Continuing review of statistics, t-test and
confidence intervals
Introduction to the analysis of variance
(ANOVA)
More about ANOVA, multiple
comparisons, residuals and model
adequacy checking
Design of Experiments (MIME 6720/8720-001) Syllabus
Text
Reference
Chapter 1 &
Chapter 2 (2-1
through 2-4)
Homework
Assignment
2-23
Chapter 3 (3-1
through 3-3)
Sections 3-4
through 3-6
3-18
3-22
Page 2 of 3. Modified 03/09/16
Sept. 3
Sept. 5
5
Sept. 10
6
Sept. 12
Sept. 17
7
8
Labor Day (No Class)
Choice of sample size in designed
experiments, dispersion versus location
effects
The randomized complete block design
(RCBD)
RCBDs, Latin squares, etc.
Introduction to factorial designs
Sept. 19
9
Factorial designs continued
Sept. 24
10
2k factorial designs, introduction
Sept. 26
Oct. 1
Oct. 3
Oct. 8
Oct. 10
Oct. 15
11
2k factorial designs, continued
Fall Break (No Class)
SMWC Conference (No Class)
2k factorial designs, continued
2k factorial designs, continued
Blocking and confounding in two-level
factorial designs
Blocking and confounding in two-level
factorial designs, continued
Midterm Exam (project proposal due)
2k-p fractional factorial designs,
introduction
2k-p fractional factorial designs, continued
2k-p fractional factorial designs, continued
2k-p fractional factorial designs, continued
2k-p fractional factorial designs, continued
Veterans’ Day (No Class)
Fitting regression models
Response surface methods and designsoverview
Thanksgiving Eve (No Class)
Random factors in experiments
Random factors in factorial experiments,
mixed models
Nested designs
12
13
14
Oct. 17
Oct. 22
Oct. 24
Oct. 29
Oct. 31
Nov. 5
Nov. 7
Nov. 12
Nov. 14
Nov. 19
15
16
17
18
19
20
21
Nov. 21
Nov. 26
Nov. 28
22
23
Dec. 3
24
Dec. 5
Dec. 12
25
Wed.
Sections 3-7
and 3-8
3-36
Chapter 4
4-9
Section 4-2
Sections 5-1
through 5-3
Sections 5-4
through 5-6
Sections 6-1
through 6-6
4-20
5-10
5-26
6-7
6-12
Sections 7-1
through 7-5
6-33
6-34
7-2
7-18
Sections 8-1
through 8-6
8-8
8-21
8-29
Sections 11-1
and 11-3
10-12
11-14
Chapter 13
13-3
Sections 14-1
through 14-3
14-2
Nested and factorial designs
Final Exam (5:00 – 7:00 pm)
Design of Experiments (MIME 6720/8720-001) Syllabus
Page 3 of 3. Modified 03/09/16