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Effects of Factors On The Time
of Battery Capacity Reduction
Andreas Aristides 1106069506
Bintang Praharani 1106008416
Chintya Widyaning P.U 1106069544
M. Haekal D. 1106069462
Nadira Winaputri 1106003402Raihan Yamang Padere 1106004916
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Contents
Background
Methodology
Data and Data Processing
Results
Conclusion and Suggestion
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Background
For most engineers, designing process are aided by CAD
(Computer Aided Design) Software. In the recent time, manyengineers doing this designing process on their laptops. Due
to the lack of durability of laptops batteries, the designing time
on laptops may not be sufficient.
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Methodology
To overcome this problem we tried to bulid an experiment to
approach this problem by using 2^k Factorial Design with
Three factors
Two levels are provided on each factors:
1. Software : AutoCAD and Autodesk Inventor Fusion
2. Battery Mode : LivePower and High Performance3. Brightness : Lowest and Highest
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Methodology (contd)
The model used for the Software used are
depicted on the left. This model choosen
by the factor of the complexity of 3D
image rendering difficulty. This model are
used in both softwares
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Methodology (contd)
We used Minitab 14 to generate
randomized full factorial design with 3
factors and 2 levels on each factors
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Data
Processed data, the data are normally
distributed
210-1-2
99
90
50
10
1
Residual
Percent
40353025
2
1
0
-1
-2
Fitted Value
Residual
210-1-2
12
9
6
3
0
Residual
Fr
equency
3230282624222018161412108642
2
1
0
-1
-2
Observation Order
R
esidual
Normal Probability Plot Versus Fits
Histogram Versus Order
Residual Plots for Time to Half Capacity (min)
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Results
Factorial Fit: Time to Half Capacity (min) versus App; Mode; BrightnessEstimated Effects and Coefficients for Time to Half Capacity (min) (coded units)Term Effect Coef SE Coef T PConstant 32,887 0,1593 206,41 0,000App 0,992 0,496 0,1593 3,11 0,005Mode -7,606 -3,803 0,1593 -23,87 0,000Brightness 5,808 2,904 0,1593 18,23 0,000App*Mode 0,322 0,161 0,1593 1,01 0,323App*Brightness 0,310 0,155 0,1593 0,97 0,340Mode*Brightness 0,891 0,445 0,1593 2,80 0,010App*Mode*Brightness 3,810 1,905 0,1593 11,96 0,000
S = 0,901272 PRESS = 34,6578R-Sq = 97,79% R-Sq(pred) = 96,08% R-Sq(adj) = 97,15%
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Results (contd)
Analysis of Variance for Time to Half Capacity (min) (coded units) Source DF Seq SS Adj SS Adj MS F PMain Effects 3 740,504 740,504 246,835 303,87 0,000App 1 7,879 7,879 7,879 9,70 0,005Mode 1 462,799 462,799 462,799 569,75 0,000Brightness 1 269,826 269,826 269,826 332,18 0,0002-Way Interactions 3 7,947 7,947 2,649 3,26 0,039App*Mode 1 0,827 0,827 0,827 1,02 0,323App*Brightness 1 0,769 0,769 0,769 0,95 0,340Mode*Brightness 1 6,351 6,351 6,351 7,82 0,0103-Way Interactions 1 116,133 116,133 116,133 142,97 0,000App*Mode*Brightness 1 116,133 116,133 116,133 142,97 0,000Residual Error 24 19,495 19,495 0,812Pure Error 24 19,495 19,495 0,812Total 31 884,079
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Results: Main Factor (Application Used)
H0: ij= 0 for all i, j
H1: at least one ij 0
Based on data obtained F0 = 9,70 Meanwhile F1,24,0,05 =4,260
Thus F0 > F
Therefore, H0 Rejected and H1 Accepted
The F test shows that theres significant difference in thekind of applications to the time of half battery capacity.
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Results: Main Factor (Battery Mode)
H0: ij= 0 for all i, j
H1: at least one ij 0
Based on data obtained F0 = 569,75 Meanwhile F1,24,0,05 =4,260
Thus F0 > F
Therefore, H0 Rejected and H1 Accepted
The F test shows that theres significant difference in thekind of battery mode to the time of half battery capacity.
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Results: Main Factor (Brightness)
H0: ij= 0 for all i, j
H1: at least one ij 0
Based on data obtained F0 = 332,18 Meanwhile F1,24,0,05 =4,260
Thus F0 > F
Therefore, H0 Rejected and H1 Accepted
The F test shows that theres significant difference in theBrightness level to the time of half battery capacity.
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Results: 2-way Interactions (Application*Battery Mode)
H0 : = 0 for all i, j
H1 : at least one 0
Based on data obtained F0 = 1,02 Meanwhile F1,24,0,05 = 4,260Thus F0 < F
Therefore, H0 Accepted and H1 Rejected
The F test shows that theres no significant difference in
interaction between Application and Battery Mode
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Results: 2-way Interactions (Application*Brightness)
H0 : = 0 for all i, j
H1 : at least one 0
Based on data obtained F0 = 0,95 Meanwhile F1,24,0,05 = 4,260Thus F0 < F
Therefore, H0 Accepted and H1 Rejected
The F test shows that theres no significant difference in
interaction between Application and Brightness Level
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Results: 2-way Interactions (Battery Mode*Brightness)
H0 : = 0 for all i, j
H1 : at least one 0
Based on data obtained F0 = 7,82 Meanwhile F1,24,0,05 = 4,260Thus F0 > F
Therefore, H0 Rejected and H1 Accepted
The F test shows that theres significant difference in
interaction between Battery Mode and Brightness Level
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Results: 3-way Interactions
H0 : = 0 for all i, j
H1 : at least one 0
Based on data obtained F0 = 142,97 Meanwhile F1,24,0,05 =4,260
Thus F0 > F
Therefore, H0 Rejected and H1 Accepted
The F test shows that theres significant difference ininteraction between Battery Mode and Brightness Level
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Results (contd)
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Results (contd)
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Conclusion and Suggestion
Conclusion on each factors:
1. Software : AutoCAD uses more power than Inventor2. Battery Mode : High Performance mode consumes more
power
3. Brightness : Highest brightness settings uses more
power
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Conclusion and Suggestion: Interaction
From the interaction plot of each factor we might see that:
- The first graph shows no significant interaction between the
applications and battery mode.- The second graph indicates that the applications and
brightness are almost have an interaction but not significant
enough.
- On the last graph, there is a big gap between battery mode
and brightness, but this graph has the biggest line gradien itmeans theres an interaction between two factors.
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References
- Design and Analysis of Experiment, Douglas C. Montgomery
8th Edition
- http://www.2.imm.dtu.dk/courses/02411/engnote.pdf
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Thank You