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Mark D. Harrison
sixsigmadude@gmail.com
What is a Designed Experiment?
 A systematic procedure carried out under controlled
conditions in order to discover an unknown effect, to
test or establish a hypothesis, or to illustrate a known
effect.
7/10/2020 Author: Mark D. Harrison 2
Why use DOE?
 Reduce time to design/develop new products and processes
 Compare Alternatives
 Identify significant Inputs (Factors) affecting an Output
(Response) also known as “Separating the Vital Few from
the Trivial Many”
 Reducing Variability
 Establish a Minimum, Maximum or Target of a Response
 Achieve Product and Process Robustness
 Balancing tradeoffs
7/10/2020 Author: Mark D. Harrison 3
A Brief History of DOE
 1918 – 1940s
 R. A. Fisher and Co – Workers
 Used extensively in Agricultural science
 Factorial Design and ANOVA
 1050s to late 1970s
 1st Industrial era
 Box & Wilson, Response Surfaces
 Chemical and Process Industries
 1970s – 1990s
 2nd Industrial era
 Quality improvement initiatives in many industries
 CQI and TQM became company goals
7/10/2020 Author: Mark D. Harrison 4
Approaches to Experimentation
 Trail and Error
 Change One Separate Factor at a Time (C.O.S.T.)
 Design of Experiments (DOE)
7/10/2020 Author: Mark D. Harrison 5
Trail and Error Example
7/10/2020 Author: Mark D. Harrison 6
C.O.S.T Example
 2 Factors
 Volume of Reaction Chamber
 pH of the Solution
 Output / Response
 Yield
7/10/2020 Author: Mark D. Harrison 7
Reaction Volume
7/10/2020 Author: Mark D. Harrison 8
You can see the highest yield is about 550 ml
Volume incremented in 50ml steps
pH of Solution
7/10/2020 Author: Mark D. Harrison 9
pH is incremented by .5 units
You can see the highest yield is at about a pH of 4.5
Plot the Data
7/10/2020 Author: Mark D. Harrison 10
Point #10 is what we think is the highest yield
The Real Process
7/10/2020 Author: Mark D. Harrison 11
Our experiment location is on the edge of the highest yield possible
What DOE shows us
7/10/2020 Author: Mark D. Harrison 12
Our optimum is not a process optimum
Which direction to experiment next
DOE vs C.O.S.T.
 Better approach to experimenting
 DOE suggests # of runs, usually less than C.O.S.T.
 DOE provides a model for the direction to follow
 Many factors can be used, not just two
 Benefits of DOE
 An organized approach that connects experiments in a
rational manner
 The influence of and interactions between all factors can be
estimated
 More precise information is acquired in fewer experiments
 Results are evaluated in the light of variability
 Support for decision-making: map of the system (response
contour plot)
7/10/2020 Author: Mark D. Harrison 13
Components of DOE
 Factors / Controllable Variables)
 Variables you can change (Time, Temperature, etc..)
 Levels
 Where Factors are set (2 minutes, 100 degrees, etc)
 Responses
 Outputs of your process (yield, dimension, weight, etc)
7/10/2020 Author: Mark D. Harrison 14
The DOE Process
 Define the Objective
 Define the Process and select Factors to be studied
 Select a Response and Measurement system
 Select an Experimental Design
 Execute Experiments accurately
 Check results for any issues
 Model data
 Verify predicted results with confirmation
experiments to validate model
7/10/2020 Author: Mark D. Harrison 15
Types of DOE
7/10/2020 Author: Mark D. Harrison 16
Orthogonality
7/10/2020 Author: Mark D. Harrison 17
Orthogonality and DOE
7/10/2020 Author: Mark D. Harrison 18
Doe Example
7/10/2020 Author: Mark D. Harrison 19
The Minitab Tutorial
 Purpose
 Investigate two factors that might decrease the time that is
needed to prepare an order for shipment: the order-
processing system and the packing procedure.
 Factors
 Order Processing System
 Packing Procedures
 Levels
 Current/Proposed
 A / B
 Responses
 Time to prepare order for shipment
7/10/2020 Author: Mark D. Harrison 20
Select a Design
7/10/2020 Author: Mark D. Harrison 21
Display Available Designs
7/10/2020 Author: Mark D. Harrison 22
Complete Design Selection
7/10/2020 Author: Mark D. Harrison 23
Details of Design
7/10/2020 Author: Mark D. Harrison 24
Factor and Level Names
7/10/2020 Author: Mark D. Harrison 25
Randomize and Store Design
7/10/2020 Author: Mark D. Harrison 26
View the Design
7/10/2020 Author: Mark D. Harrison 27
Enter Experiment Data
7/10/2020 Author: Mark D. Harrison 28
Fit the Model
7/10/2020 Author: Mark D. Harrison 29
Select Model Terms
7/10/2020 Author: Mark D. Harrison 30
Select Analysis Graphs
7/10/2020 Author: Mark D. Harrison 31
Factorial Regression
7/10/2020 Author: Mark D. Harrison 32
Factorial Regression
7/10/2020 Author: Mark D. Harrison 33
Interpret the Probability Plot
7/10/2020 Author: Mark D. Harrison 34
Example Effects Plot
7/10/2020 Author: Mark D. Harrison 35
Significant
Interpret the Pareto Chart
7/10/2020 Author: Mark D. Harrison 36
Additional Analysis
7/10/2020 Author: Mark D. Harrison 37
Create Factorial Plots
7/10/2020 Author: Mark D. Harrison 38
Main Effects Plot
7/10/2020 Author: Mark D. Harrison 39
Interaction Plot
7/10/2020 Author: Mark D. Harrison 40
Predict the Response
7/10/2020 Author: Mark D. Harrison 41
Prediction for Hours
7/10/2020 Author: Mark D. Harrison 42
99% ?
Save the Project
7/10/2020 Author: Mark D. Harrison 43
DOE Software Providers
 Minitab
 Minitab 18 Data Analysis
 Minitab Quality Companion Project Management
 Sas JMP
 Sas JMP Data Analysis
 Statgraphics
 Centurion 18
These companies provide free 30 day trails of their software
7/10/2020 Author: Mark D. Harrison 44
DOE References
 One Factor at a Time vs DOE Veronica Czitrom
 Design of Experiments – Moresteam
 DOE Upendra Kartik
 Minitab Blog
 DOE Umetrics
7/10/2020 Author: Mark D. Harrison 45

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