Question

In: Operations Management

An experiment was performed to improve the yield of a chemical process. Four factors were selected,...

An experiment was performed to improve the yield of a chemical process. Four factors were selected, and two replicates of a completely randomized experiment were run. The results are shown in the following table:

A

B

C

D

Yield

1

-1

-1

-1

-1

95

2

-1

-1

-1

-1

93

3

1

-1

-1

-1

74

4

1

-1

-1

-1

78

5

-1

1

-1

-1

81

6

-1

1

-1

-1

85

7

1

1

-1

-1

83

8

1

1

-1

-1

80

9

-1

-1

1

-1

77

10

-1

-1

1

-1

78

11

1

-1

1

-1

81

12

1

-1

1

-1

78

13

-1

1

1

-1

88

14

-1

1

1

-1

82

15

1

1

1

-1

73

16

1

1

1

-1

70

17

-1

-1

-1

1

104

18

-1

-1

-1

1

95

19

1

-1

-1

1

72

20

1

-1

-1

1

76

21

-1

1

-1

1

86

22

-1

1

-1

1

83

23

1

1

-1

1

85

24

1

1

-1

1

86

25

-1

-1

1

1

99

26

-1

-1

1

1

90

27

1

-1

1

1

77

28

1

-1

1

1

75

29

-1

1

1

1

87

30

-1

1

1

1

84

31

1

1

1

1

80

32

1

1

1

1

80

a- Prepare an analysis of variance table and determine which factors are important in explaining yield.

Factor A is significant – True or False

Factor B is significant – True or False

Factor C is significant – True or False

Factor D is significant – True or False

b- What is the P-value in the ANOVA table?

Factor A:

Factor B:

Factor C:

Factor D:

c- Develop a regression model for predicting yield

#

Factor

Regression Coefficient

1.

A

2.

B

3.

C

4.

D

5.

Constant

d- Plot the residuals on a normal probability scale.Does the residual analysis appear satisfactory (Normal Distribution)?

Is the residual Normal: Yes or No

e- Provide the factorial and interaction plots.Where would you recommend that the process be run with respect to the four variables?

#

Factor

Level

1.

A

High or Low or Doesn’t matter

2.

B

High or Low or Doesn’t matter

3.

C

High or Low or Doesn’t matter

4.

D

High or Low or Doesn’t matter

Solutions

Expert Solution


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