Six Sigma - A group of experimenters determine that 3 factors seem to have the m
ID: 3220199 • Letter: S
Question
Six Sigma - A group of experimenters determine that 3 factors seem to have the most influence on a coating process. The measure the out come Y in terms of coating thickness in some consistent way.
B - Catalyst
0.1g/l
0.2g/l
C- Temperature
C - Temperature
15C
25C
15C
25C
A - Belt Rate
19
21
21
20
400 mm/min
17
20
19
18
Sum
36
41
40
38
20
20
25
26
800 mm/min
19
23
22
24
Sum
39
43
47
50
Which factors and interactions effects are significant?
B - Catalyst
0.1g/l
0.2g/l
C- Temperature
C - Temperature
15C
25C
15C
25C
A - Belt Rate
19
21
21
20
400 mm/min
17
20
19
18
Sum
36
41
40
38
20
20
25
26
800 mm/min
19
23
22
24
Sum
39
43
47
50
Explanation / Answer
Answer:
MINITAB used.
General Linear Model: thickness versus A, B, C
Method
Factor coding (-1, 0, +1)
Factor Information
Factor Type Levels Values
A Fixed 2 1, 2
B Fixed 2 1, 2
C Fixed 2 1, 2
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
A 1 36.000 36.000 16.00 0.004
B 1 16.000 16.000 7.11 0.029
C 1 6.250 6.250 2.78 0.134
A*B 1 12.250 12.250 5.44 0.048
A*C 1 1.000 1.000 0.44 0.524
B*C 1 4.000 4.000 1.78 0.219
A*B*C 1 2.250 2.250 1.00 0.347
Error 8 18.000 2.250
Total 15 95.750
Model Summary
S R-sq R-sq(adj) R-sq(pred)
1.5 81.20% 64.75% 24.80%
Which factors and interactions effects are significant?
Factor A is significant, F=16.00, P=0.004 which is < 0.05 level.
Factor B is significant, F=7.11, P=0.029 which is < 0.05 level.
Interaction A*B is significant, F=5.44, P=0.048 which is < 0.05 level.
Factor C and other interactions are not significant.