ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACADAEAFAGAHAI
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Run Order
ABCBullets (Grams)
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1+--3.5
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2-+-1.6
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3--+0.7
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4++-1.2
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5+-+0.7
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6+++0.3
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7-++0.5
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8---3.1
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Factor A
Bowl Diameter
the measured variable is the amount of “bullets” formed in grams
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Factor B
Microwaving Time
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Factor CPower
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Calculating Significance of Main Effects (Solving for Means) Mean values
Bowl Diameter (A)
Microwaving time (B)
Power
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Factor A
Run When A is + :
3.5 +1.2 +0.7 +0.3 =5.7 5.7 /4 =1.43(+)(-)1.4822.35
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Run When A is - :
1.6 +0.7 +0.5 +3.1 =5.9 5.9 /4 =1.48(-)(+)1.430.90.55
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Total Effect / Difference
-0.05
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Factor B
Run When B is + :
1.6 +1.2 +0.3 +0.5 =3.6 3.6 /4 =0.90(+)
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Run When B is - :
3.5 +0.7 +0.7 +3.1 =8.0 8.0 /4 =2.00(-)
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Total Effect / Difference
-1.10
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Factor C
Run When C is + :
0.7 +0.7 +0.3 +0.5 =2.2 2.2 /4 =0.55(+)
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Run When C is - :
3.5 +1.6 +1.2 +3.1 =9.4 9.4 /4 =2.35(-)
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Total Effect / Difference
-1.80
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Interaction Effects FULL factorial
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A x BA x CB x C
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At low B,
Average of low A =
(0.7+3.1)/2=1.9At low C,
Average of low A =
(1.6+3.1)/2=2.35At low C,
Average of low B =
(3.5+3.1)/2=3.3
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Average of high A =
(3.5+0.7)/2=2.1
Average of high A =
(3.5+1.2)/2=2.35
Average of high B =
(1.6+1.2)/2=1.4
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Total effect of A =
2.1 - 1.9=0.2Increase(+)
Total effect of A =
2.35 - 2.35=0NIL0
Total effect of B =
1.4 - 3.3=-1.9
Decrease
(-)
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At high B
Average of high A =
(1.2+0.3)/2=0.75
At high C,
Average of low A =
(0.7+0.5)/2=0.6
At high C,
Average of low B =
(0.7+0.7)
/2=0.7
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Total effect of A =
0.75 - 1.05=-0.3
Decrease
(-)
Average of high A =
(0.7+0.3)/2=0.5
Average of high B =
(0.3+0.5)/2=0.4
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Total effect of A =
0.5 - 0.6=-0.1
Decrease
(-)
Total effect of B =
0.4 - 0.7=-0.3
Decrease
(-)
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(-)(+)(-)(+)(-)(+)
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At Low B1.92.1At Low C2.352.35At Low C3.31.4
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At High B
1.050.75
At High C
0.60.5
At High C
0.70.4
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