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
Chapter 14
Design and Analysis
1
Design of Engineering Experiments
Nested and Split-Plot Designs
Text reference, Chapter 14
These are multifactor experiments that have some
important industrial app
Chapter 13
Design & Analysis
1
Design of Engineering Experiments Experiments with Random Factors
Text reference, Chapter 13
Previous chapters have considered fixed factors
A specific set of factor
Chapter 12
Design & Analysis of
Experiments 7E 2009
1
Robust Design
Goal is to make products and processes robust
or less sensitive to variability transmitted by
factors that cannot be easily control
Chapter 11
Design & Analysis of
Experiments 7E 2009
1
Text reference, Chapter 11
Primary focus of previous chapters is
factor screening
Two-level factorials, fractional factorials are
widely used
Chapter 10
Design & Analysis of
Experiments 7E 2009
1
Regression models are empirical as opposed to mechanistic models
Regression modeling is often performed on undesigned or unplanned
data
Regression
Chapter 9
Design & Analysis of
Experiments 7E 2009
1
The 3 Factorial Design
k
Chapter 9
Design & Analysis of
Experiments 7E 2009
2
Notation
Factor levels are sometime denoted 1, 2, 3
Qualitative or
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
Repli
Design of Engineering Experiments
Two-Level Factorial Designs
Text reference, Chapter 6
Special case of the general factorial design; k factors,
all at two levels
The two levels are usually called
Factorial Experiments
Text reference, Chapter 5
General principles of factorial experiments
The two-factor factorial with fixed effects
The ANOVA for factorials
Extensions to more than two factors
Qua
Experiments with Blocking Factors
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 scenar
Analysis of Variance
Chapter 3
Design & Analysis of Experiments
7E 2009 Montgomery
1
What If There Are More Than
Two Factor Levels?
The t-test does not directly apply
There are lots of practical sit
Chapter 2 Basic Statistical Methods
Describing sample data
Random samples
Sample mean, variance, standard deviation
Populations versus samples
Population mean, variance, standard deviation
Estimating