Transcript What’s New in Design-Expert version 7 - Stat-Ease

What’s New in
Design-Expert version 7
General Improvements
Pat Whitcomb
March 24, 2006
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What’s New
 General improvements
 Design evaluation
 Diagnostics
 Updated graphics
 Better help
 Miscellaneous cool new stuff
 Factorial design and analysis
 Response surface design
 Mixture design and analysis
 Combined design and analysis
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Design Evaluation
 User specifies what order terms to ignore.
 Can evaluate by design or response.
 New options for more flexibility.
 User specifies D/s ratios for power calculation.
 User specifies what to report.
 User specified options for standard error plots.
 Annotation added to design evaluation report.
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Design Evaluation
Specify Order of Terms to Ignore
Focus attention
on what is most
important.
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Design Evaluation
Evaluate by Design or Response
Useful when a
response has
missing data.
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Design Evaluation
New Options for More Flexibility
 User specifies D/s ratios
for power calculation.
 User specifies what to
report.
 User specified options
for standard error plots.
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Design Evaluation
Annotated Design Evaluation Report
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Diagnostics
 Diagnostics Tool has two sets of buttons:
 “Diagnostics” and “Influence”.
 New names and limits.
 Internally studentized residual = studentized residual v6.
 Externally studentized residual = outlier t v6.
• The externally studentized residual has exact limits.
 New – DFFITS
 New – DFBETAS
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Diagnostics
Diagnostics Tool has Two Sets of Buttons
ei = residuali
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Diagnostics
Exact Limits
t(a/n, n-p'-1) p' is the number of model terms including the intercept
n is the total number of runs
Design-Expert® Software
Conversion
Externally Studentized Residuals
Color points by value of
Conversion:
97.0
Externally Studentized Residuals
51.0
4.33
2.17
0.00
-2.17
-4.33
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Run Number
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Diagnostics
DFFITS
DFFITS
DFFITS vs. Run
DFFITS measures the influence the ith
2.00
observation has on the predicted value.
(See Myers, Raymond: “Classical and
Modern Regression with Applications”,
0.96
1986, Duxbury Press, page 284.) It is
the studentized difference between the
-0.07
predicted value with observation i and
the predicted value without observation
i. DFFITS is the externally studentized
-1.11
residual magnified by high leverage
points and shrunk by low leverage points.
It is a sensitive test for influence and points
-2.15
outside the limits are not necessarily bad
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just influential. These runs associated with
Run Number
points outside the limits should be investigated
to for potential problems.
DFFITS is very sensitive and it is not surprising to have a point or two falling
outside the limits, especially for small designs.
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Diagnostics
DFBETAS
DFBETAS measures the influence the ith observation has on each regression
coefficient. (See Myers, Raymond: “Classical and Modern Regression with
Applications”, 1986, Duxbury Press, page 284.) The DFBETASj,i is the number of
standard errors that the jth coefficient changes if the ith observation is removed.
DFBETAS for A vs. Run
2.00
2.00
1.00
1.00
DFBETAS for A
DFBETAS for Intercept
DFBETAS for Intercept vs. Run
0.00
0.00
-1.00
-1.00
-2.00
-2.00
1
4
7
10
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Run Number
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Run Number
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Updated Graphics
 New color by option.
 Full color contour and 3D plots.
 Design points and their projection lines added to 3D plots.
 Grid lines on contour plots.
 Cross hairs read coordinates on plots.
 Magnification on contour plots.
 User specified detail on contour “Flags”.
 Choice of “LSD Bars”, “Confidence Bands” or “None” on
one factor and interaction plots.
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New Color by Option
Design-Expert® Software
Conversion
Normal Plot of Residuals
Color points by value of
Conversion:
97.0
99
51.0
Normal % Probability
95
90
80
70
50
30
20
10
5
1
-1.39
-0.51
0.36
1.23
2.10
Internally Studentized Residuals
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Full Color Contour and 3D Plots
A: Water
5.000
2
734.847
626.122
517.398
843.571
2.000
2.000
2
2
4.000
B: Alcohol
952.296
3.000
2
4.000
C: Urea
Turbidity
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Design Points on 3D Plots
1200
1100
1000
Turbidity
900
800
700
600
500
400
300
A (5.000)
B (2.000)
C (4.000)
C (2.000)
A (3.000)
B (4.000)
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Grid lines on contour plots
Conversion
90.00
5.000
88.0
2.000
2
86.0
84.0
B: temperature
87.50
2.500
4.500
700
82.0
600
6
85.00
4.000
500
800
3.000
900
C: Urea
B: Alcohol
80.0
2
80.0
82.50
3.500
3.500
78.0
1000
80.00
3.000
40.00
42.50
45.00
47.50
4.000
2
2
50.00
4.000
3.500
3.000
2.500
2.000
A: Water
A: time
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Cross Hairs
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Magnification on Contour Plots
A: TEA-LS
28.000
A: TEA-LS
26.105
1.000
2
1.000
160 2
160
1602
170
2
175
1.000
1.000
170
170
2
2
160
175
150
160
140
2
9.000
B: Cocamide
20.000
9.000
C: Lauramide
6.283
B: Cocamide
22.868
Height
4.877
C: Lauramide
Height
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Specify Detail on Contour “Flags”
Conversion
90.00
Prediction
Observed
95% CI Lo
95% CI Hig
95% PI Lo
95% PI Hig
SE Mean
SE Pred
X1
X2
B: temperature
87.50
81.6
81.0
86.0
77.8
85.4
71.684.0
91.6
1.68337
4.43914
45.00
82.0
85.00
88.0
6
85.00
80.0
80.0
82.50
78.0
80.00
40.00
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42.50
45.00
A: time
47.50
50.00
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“LSD Bars” & “Confidence Bands”
One Factor
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54
47.75
47.75
41.5
2
Drive time
Drive time
One Factor
41.5
2
35.25
35.25
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0.00
10.00
20.00
A: Departure
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40.00
0.00
10.00
20.00
30.00
40.00
A: Departure
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Better Help
 Improved help
 Screen tips
 Movies (mini tutorials)
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Miscellaneous Cool New Stuff
 “Graph Columns” now has its own node.
 Highlight points in the design layout or on a diagnostic
graph for easy identification.
 Right click and response cell and ignore it.
 Improved design summary.
 Numerical optimization results now carried over to
graphical optimization and point prediction.
 Export graph to enhanced metafile (*.emf).
 Exporting to other software packages.
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Graph Columns Node
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Highlight Points
DFBETAS for C vs. Run
4.93
DFBETAS for C
3.20
1.46
-0.27
-2.00
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Run Number
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Sort by Row Status
right click in the upper left hand corner
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Ignore Response Cells
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Improved Design Summary
New in version 7:
 Means and standard deviations for factors and responses.
 The ratio of maximum to minimum added for responses.
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Numerical optimization results carried over to
graphical optimization and point prediction.
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Export Graphs as Enhanced Metafile
“File” “Export Graph to file...”
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Save and Export
 Save as:
 Design-Expert version 6 file (*.dx6)
 XML Document (*.xml)
 VarTran file (*.vat)
 Export:
 “Export Design to file...” → text file (*.txt)
 “Export Design to AAO file...” → text file (*.txt)
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