Statistics (Sem (CBCS) Examination, 2017
PLANNING AND ANALYSIS OF INDUSTRIAL EXPERIMENTS
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Day Date: Saturday, 22-04-2017 Max. Marks: 70
Time: 02.30 PM to 05.00 PM
N.B. Answer Five Questions
Question 1 and 2 are compulsory.
Figures to the right indicate full marks
Attempt any Three from Q.3 to Q.7
Q.1 Choose correct answer. 05
Confounding is used whena)
No. of factors are large
Plots are heterogeneous
Treatment combinations are large
All the above
2 For a 26-2 experiment, with defining relation
I=ABCD=CDEF=ABEF is a
Resolution III design Resolution IV design
Resolution V design Resolution III design
3 For error degrees of freedom to be non-zero in a 2k
experiment, we have to have at replicates.
3 2 4 None of the above
4 A central composite design usesa)
Factorial points Center points
Axial points All the above
5 Main objective of Robust Parameter Design isa)
To study underlying mechanism
To optimize response
To minimize the response
Both and
Fill in the blanks 05
The selection of p generators in 2k-p experiment is in such way
that the design is
The shortest word length is called
In complete confounding effect is confounded in
replicates.
The variables which are in control of experimenter are called

In RSM we go from first order experiment to second order
Page 2 of 2
experiment is there

State True or False. 04
Factorial experiments are conducted in designed experiments.
First order experiments are used after curvature check shows
the presence of curvature.
Confounding is used when number of factors are large.
One half fraction with ABCD is called subsidiary fraction.
Q.2 Illustrate the following terms- 08
Location and Dispersion modeling
Alias structure.
Write short notes on- 06
Main effect and interaction effect plot
Single replicate design
Q.3 Write 23 experiments in two replicates. Write steps involved in the
Analysis of the experiment.
07
Explain the need of confounding. Illustrate with example. 07
Q.4 What is fractional factorial experiment? Write
fraction of 26
experiments with suitable generators.
07
What is Central Composite Design? Write different steps involved
in it.
07
Q.5 Explain in brief Response Surface Design. What is first order
model and second order model?
07
What are consequences of considering only half fraction of total
number of treatment combinations?
07
Q.6 What is minimum aberration design? What is its use? Illustrate
with an example.
06
Write short notes oni.
Resolution of Design
ii. SN ratio
08
Q.7 Write in brief Analysis of a confounded experiment. 06
Discuss 3k factorial experiment in detail. 08