Date post: | 16-Aug-2015 |
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Technology |
Upload: | cherylkilroy |
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Outline• Introduction•Objective •Design Description
Procedure•Data Analysis•Conclusion •Recommendations
Introduction
Objective
Determine which combination of levels of factors maximizes shade of green when dyeing eggs.
Design Description
•2 ^ 4 factorial design•Response •Factors (Refer to handout)•Experimental Unit•Blocks•Randomization (Refer to
handout)
Design Description
• Egg Organization (refer to handout)• Dyeing Procedures = egg organization + run order (eliminated need for blocks)• Solution organization like an excel
spreadsheet• Controlled Variables
Procedure
•Prepare eggs•Prepare solutions•Dye Eggs following dyeing procedures
•Measure shade of eggs 2 hours after removing from solution
Data Analysis of all Effects
1-1
10.8
10.4
10.0
9.6
9.21-1
1-1
10.8
10.4
10.0
9.6
9.21-1
EggType
Mean
EggTemp
VinegarLevel SoakTime
Factorial Plot - Main Effects
Data Analysis of all Effects
1-1 1-1
11
10
9
11
10
9
11
10
9
1-1
11
10
9
1-1
EggType
EggTemp
VinegarLevel
SoakTime
-11
EggType
-11
EggTemp
-11
VinegarLevel
-11
SoakTime
Interaction Plots - Main Effects
Data Analysis of all Effects
AD
ACD
ABC
ABD
AC
BCD
AB
B
BC
ABCD
A
C
BD
CD
D
1.41.21.00.80.60.40.20.0
Term
Effect
1.384
A EggTypeB EggTempC VinegarLevelD SoakTime
Factor Name
Pareto Chart of the Effects(response is Y, Alpha = 0.20)
Lenth's PSE = 0.9375
Data Analysis of all Effects
2.52.01.51.00.50.0
98
95
90
85
80
70
60
50
403020100
Absolute Effect
Perc
ent
A EggTypeB EggTempC VinegarLevelD SoakTime
Factor Name
Not SignificantSignificant
Effect Type
Half Normal Plot of the Effects(response is Y, Alpha = 0.20)
Lenth's PSE = 0.9375
Data Analysis – Next Step
•Because the two way interaction of BD is as close to significant as effect C, run an analysis including effects A, B, C, D and two way interactions BC, CD, BD to preserve hierarchy.
Data Analysis (A, B, C, D, BD, BD, CD)
1.00.50.0-0.5-1.0-1.5
99
95
90
80
70
605040
30
20
10
5
1
Residual
Perc
ent
Normal Probability Plot(response is Y)
Data Analysis (A, B, C, D, BD, BD, CD)
1312111098
1.0
0.5
0.0
-0.5
-1.0
Fitted Value
Resi
dual
Versus Fits(response is Y)
Data Analysis (A, B, C, D, BD, BD, CD)
1.00.50.0-0.5-1.0
1.0
0.5
0.0
-0.5
-1.0
VinegarLevel
Resi
dual
Residuals Versus VinegarLevel(response is Y)
Data Analysis (A, B, C, D, BD, BD, CD)
1.00.50.0-0.5-1.0
1.0
0.5
0.0
-0.5
-1.0
SoakTime
Resi
dual
Residuals Versus SoakTime(response is Y)
Data Analysis (A, C, D, CD)
12111098
2.0
1.5
1.0
0.5
0.0
-0.5
-1.0
-1.5
Y
Resi
dual
Residuals Versus Y(response is Y)
Data Analysis (A, C, D, CD)
Log Y
0.100.050.00-0.05-0.10
99
95
90
80
70
605040
30
20
10
5
1
Residual
Perc
ent
Normal Probability Plot(response is LOG (Y))
Data Analysis (A, C, D, CD)
Log Y
1.1001.0751.0501.0251.0000.9750.950
0.08
0.06
0.04
0.02
0.00
-0.02
-0.04
-0.06
-0.08
Fitted Value
Resi
dual
Versus Fits(response is LOG (Y))
Data Analysis (A, C, D, CD)
Log Y
1.00.50.0-0.5-1.0
0.08
0.06
0.04
0.02
0.00
-0.02
-0.04
-0.06
-0.08
VinegarLevel
Resi
dual
Residuals Versus VinegarLevel(response is LOG (Y))
Data Analysis (A, C, D, CD)
Log Y
1.00.50.0-0.5-1.0
0.08
0.06
0.04
0.02
0.00
-0.02
-0.04
-0.06
-0.08
SoakTime
Residual
Residuals Versus SoakTime(response is LOG (Y))
A Contour Plot
Soak
Vin
egar
1.00.50.0-0.5-1.0
1.0
0.5
0.0
-0.5
-1.0
> – – – – < 8
8 99 10
10 1111 12
12
Y
Contour Plot of Y vs Vinegar, Soak
Conclusion
To get a deep dark green eggs:•Soak large white room
temperature raw eggs in a solution of ½ cup room temperature water, ¼ teaspoon food coloring, and 4 teaspoons of vinegar for 7 minutes
Recommendations
• Use 20 drops of food coloring• Use machinery to conduct
experiment and measure shade of green
• Change temperature levels• Add factors• Start dyeing eggs for St. Patrick’s
Day and holidays in general
Questions