The results from a 2^2 design are shown below for two replicates. The response i
ID: 3204679 • Letter: T
Question
The results from a 2^2 design are shown below for two replicates. The response is surface finish measurements from machining, and, the smaller the value the better is the response. Calculate the effect of B
Treat comb code
Design Column
Calculation column
Response (min)
Factor A (Tool size)
Factor B (Tool size)
Interaction (AB)
Rep 1
Rep 2
Ave
((1))
18
14
a
24
22
b
14
16
ab
40
36
Treat comb code
Design Column
Calculation column
Response (min)
Factor A (Tool size)
Factor B (Tool size)
Interaction (AB)
Rep 1
Rep 2
Ave
((1))
18
14
a
24
22
b
14
16
ab
40
36
Explanation / Answer
the effect due to B is given by
B=[(b)-(1)+(ab)-(a)]0.5
now (1)=18+14=32
(b)=14+16=30
(ab)=40+36=76
(a)=24+22=46
so B=[30-32+76-46]/0.5=14 [answer]
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