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1. Name Surname:
ISE 455 Final
June 4, 2021
Duration: minutes
1.(30 points) A fractional factorial design, 25−2
is employed to investigate effects of five
factors on the total yield which are A = temperature, B= material type, C= pressure,
D=density, and E= level of oxygen. The results obtained are as follows:
e=23.2, ad=16.9, cd=23.8, bde=16.8, ab=15.5, bc=16.2, ace=23.4, and abcde=18.1
(a) (5 points) Verify that the design generators used were I=ACE and I=BDE and specify
the resolution number.
(b) (5 points) Write down the complete defining relation and the aliases for this design.
(c) (10 points) Estimate the main effect A and the sum of squares for A.
(d) (10 points) Complete the following ANOVA table and comment on the model signifi-
cance for α = 0.05.
Source Sum of Squares Degrees of Freedom Mean Square F
Model
A
B 53.56
C 10.35
D
E 10.35
Residual 9.91
Corrected Total 89.74 7
2.(20 points)
(a) (10 points) Write down potential signs of multicollinearity (Write down at least two of
them) and explain what variance inflation factor (VIF) is.
(b) (10 points) What are outliers and influential points. How can they be differentiated?
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