Chapter 3
Design & Analysis of
Experiments 7E 2009
1
What If There Are More Than
Two Factor Levels?
The t-test does not directly apply
There are lots of practical situations where there are
either more than two levels of interest, or there are
several f
Insourcing/OutsoucingThe FlexCon Piston Decision
This case addresses many issues that affect insourcing/outsourcing decisions. A complex and
important topic facing businesses today is whether to produce a component, assembly, or
service internally (insour
Solutions from Montgomery, D. C. (2012) Design and Analysis of Experiments, Wiley, NY
Chapter 3
Experiments with a Single Factor: The Analysis of Variance
Solutions
3.1. An experimenter has conducted a single-factor experiment with four levels of the fact
Design of Engineering Experiments
The Blocking Principle
Text Reference, Chapter 4
Blocking and nuisance factors
The randomized complete block design or
the RCBD
Extension of the ANOVA to the RCBD
Other blocking scenariosLatin square
designs
Chapter
Homework 5
The problem numbers are from the 8th edition of the textbook and may
be dierent from those in earlier editions.
11.5, 11.9, 11.18, 11.19, 11.31
1
Homework 6
The problem numbers are from the 8th edition of the textbook and may
be dierent from those in earlier editions.
13.4, 13.14, 13.21, 14.2, 14.7, 14.13, 14.14
1
IE410 HW#6
Qiubo Xu
13.4
(a)
General Linear Model: Response versus Row, Column
Factor Type Levels Values
Row random
3 1, 2, 3
Column random
4 1, 2, 3, 4
Analysis of Variance for Response, using Adjusted SS for Tests
Source DF Seq SS Adj SS Adj MS F P
Row
IE 410 HW#4
Qiubo Xu
8.6
According to the Minitab output, the effects appear to be much less
significant than those found in Example 6.6.
8.23
(a)
The treatment combinations given in this problem are correct.
The effects are shown in the Minitab output an
Homework 4
The problem numbers are from the 8th edition of the textbook and may
be dierent from those in earlier editions.
8.6, 8.23, 8.33, 8.40, 8.47, 8.52.
1
HW2 of IE 410
4.1
(a)
Source
DF
SS
MS
F
P
Treatment
4
1010.56
252.640
29.84
<0.00001
Block
5
323.82
64.765
Error
20
169.33
8.467
Total
29
1503.71
DF of Block: 29-20-4=5; SS of Block: 1503.71-1010.56-169.33=323.82; MS of Treatment:
101.56/4=252.640; MS of
Chapter 3
Design & Analysis of
Experiments 7E 2009
1
What If There Are More Than
Two Factor Levels?
The t-test does not directly apply
There are lots of practical situations where there are
either more than two levels of interest, or there are
several f
Chapter 5
Design & Analysis
1
Design of Engineering Experiments
Introduction to Factorials
Text reference, Chapter 5
General principles of factorial experiments
The two-factor factorial with fixed effects
The ANOVA for factorials
Extensions to more than
Design of Engineering Experiments
Blocking & Confounding in the 2k
Text reference, Chapter 7
Blocking is a technique for dealing with
controllable nuisance variables
Two cases are considered
Replicated designs
Unreplicated designs
Chapter 7
Design &
Design of Engineering Experiments
Part 5 The 2k Factorial Design
Text reference, Chapter 6
Special case of the general factorial design; k factors,
all at two levels
The two levels are usually called low and high (they
could be either quantitative or q
Design of Engineering Experiments
The 2k-p Fractional Factorial Design
Text reference, Chapter 8
Motivation for fractional factorials is obvious; as the
number of factors becomes large enough to be
interesting, the size of the designs grows very quickly
Homework 1
The problem numbers are from the 8th edition of the textbook and may
be dierent from those in earlier editions. Therefore a short description of
the problem is included next to its number. If the description does not
agree, please look around a
Homework 3
The problem numbers are from the 8th edition of the textbook and may
be dierent from those in earlier editions.
5.18, 5.37, 6.38, 7.15, 7.21
1
Homework 2
The problem numbers are from the 8th edition of the textbook and may
be dierent from those in earlier editions.
4.1, 4.9, 4.22, 4.45, 4.53.
1
One of the main themes I encountered throughout the readings was the idea of
instead of hiding in the shadows; women have started to unveil social inequalities by
speaking up for themselves in a variety of different ways. Whether it be through an art
form