ABCDEFGHIJKLMNOPQRSTUVWXYZ
1
2
3
4
5
6
Run Order
ABCBullets
7
1+--3.5
8
2-+-1.6
9
3--+0.7
10
4++-1.2
11
5+-+0.7
12
6+++0.3
13
7-++0.5
14
8---3.1
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16
17
A = diameter
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B = Microwaving time
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C = Power
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When the diameter of the bowl is LOW, the number of "bullets" are slightly higher than that of when diameter
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When A is "+" Average is 1.425
+1.425
is HIGH, producing a very gentle gradient. However, the difference between when A is HIGH and LOW is very
22
When A is "-" Average is 1.475
-1.475
minimal, hence it is the least significant factor.
23
24
When B is "+" Average is 0.9
+0.9
When the microwaving time is HIGH, the number of "bullets" produced is about half of that when microwaving time is LOW.
25
When B is "-" Average is 2
-2
The difference between when B is HIGH and LOW is greater than that of A, but lesser than that of B, hence it is more significant than A but less than C.
26
27
When C is "+" Average is 0.55
+0.55
When the microwaving power is LOW, the number of "bullets" produced is significantly higher; 4 times than that when microwave power is HIGH.
28
When C is "-" Average is 2.35
-2.35
The difference between when C is HIGH and LOW is the greatest , hence it is the most significant factor.
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30
Ranking the factors from most significant to least, C>B>A
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A X B
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Using data from run numbers 3 and 8 for Low B, Low A and run numbers 1 and 5 for Low B, High A
The gradient of the line when B is LOW is positive, whereas the gradient of the line when B is HIGH is negative,
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At LOW B, Average of low A=(0.7+3.1)/2=
1.9
The gradient of both lines are different, hence there is significant interaction between A and B.
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At LOW B, Average of high A=(3.5+0.7)/2=
2.1
35
At LOW B, total effect of A=(2.1-1.9)= 0.2 (Increase)
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Using data from run numbers 2 and 7 for High B, Low A and run numbers 4 and 6 for High B, High A
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At HIGH B, Average of low A=(1.6+0.5)/2=
1.05
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At HIGH B, Average of high A=(1.2+0.3)/2=
0.75
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At HIGH B, total effect of A=(0.75-1.05)= -0.3 (decrease)
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A X C
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Using data from run numbers 2 and 8 for Low C, Low A and run numbers 1 and 4 for Low C, High A
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At LOW C, Average of low A=(1.6+3.1)/2=
2.35
Lines Low C and HIGH C are almost parallel, so the gradients of both lines are only slightly different.
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At LOW C, Average of high A=(3.5+1.2)/2=
2.35
Therefore, there is an interaction between A and C, but the interaction is small.
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At LOW C, total effect of A=(2.35+2.35)= 0
46
Using data from run numbers 3 and 7 for High C, Low A and run numbers 5 and 6 for High C, High A
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At HIGH C, Average of low A=(0.7+0.5)/2=
0.6
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At HIGH C, Average of high A=(0.7+0.3)/2=
0.5
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At HIGH C, total effect of A=(0.5-0.6)= -0.1 (decrease)
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B X C
52
Using data from run numbers 1 and 8 for Low C, Low B and run numbers 2 and 4 for Low C, High B
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At LOW C, Average of low B=(3.5+3.1)/2=
3.3
The gradient of LOW C is much steeper than that of HIGH C, indicating a big difference between gradients.
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At LOW C, Average of high B=(1.6+1.2)/2=
1.4
Hence, there is significant interaction between B and C.
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At LOW C, total effect of B=(1.4-3.3)= -1.9 (decrease)
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Using data from run numbers 3 and 5 for High C, Low B and run numbers 6 and 7 for High C, High B
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At HIGH C, Average of low B=(0.7+0.7)/2=
0.7
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At HIGH C, Average of high B=(0.3+0.5)/2=
0.4
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At HIGH C, total effect of B=(0.4-0.7)= -0.3 (decrease)
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61
62
63
64
Run Order
ABCBullets
65
1+--3.5
When the diameter of the bowl is LOW, the number of "bullets" are lower than that of when diameter
66
2-+-1.6
is HIGH. The difference between when A is HIGH and LOW is lower than that of B and C
67
6+++0.3
Hence it is the least significant factor.
68
3--+0.7
69
70
71
When A is "+" Average is 1.9
+1.9
When the microwaving time is LOW, the number of "bullets" produced is about half of that when microwaving time is HIGH.
72
When A is "-" Average is 1.15
-1.15
The difference between when B is HIGH and LOW is greater than that of A, but lesser than that of B, hence it is more significant than A but less than C.
73
74
When B is "+" Average is 0.95
+0.95
75
When B is "-" Average is 2.1
-2.1
When the microwaving power is LOW, the number of "bullets" produced is significantly HIGH; 5 times than that when microwave power is HIGH.
76
The difference between when C is HIGH and LOW is the greatest , hence C is the most significant factor.
77
When C is "+" Average is 0.5
+0.5
78
When C is "-" Average is 2.55
-2.55
Ranking the factors from most significant to least, C>B>A
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80
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82
83
Run Order
ABCBullets
84
4++-1.2
85
5+-+0.7
86
7-++0.5
87
8---3.1
88
When the diameter of the bowl is LOW, the number of "bullets" are higher than that of when diameter is HIGH.
89
The difference when A is HIGH and LOW is slightly higher than that of B. Hence A is slightly more significant than B.
90
When A is "+" Average is 0.95
+0.95
91
When A is "-" Average is 1.8
-1.8
When the microwaving time is LOW, the number of "bullets" produced is about half of that when microwaving time is HIGH.
92
The difference when B is HIGH and Low is the lowest among A and C, hence it is the least significant factor.
93
When B is "+" Average is 0.85
+0.85
94
When B is "-" Average is 1.9
-1.9
When the microwaving power is LOW, the number of "bullets" produced is significantly higher; 3.5 times than that when microwave power is HIGH.
95
The difference between when C is HIGH and LOW is the greatest , hence C is the most significant factor.
96
When C is "+" Average is 0.6
+0.6
97
When C is "-" Average is 2.15
-2.15
Ranking the factors from most significant to least, C>A>B
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99
100