M.Sc. (Semester III) (CBCS) Examination Oct/Nov-2017
Statistics
PLANNING AND ANALYSIS OF INDUSTRIAL EXPERIMENTS
Day Date: Tuesday, 21-11-2017 Max. Marks: 70
Time: 02.30 PM to 05.00 PM
Instructions: Q.1 and Q.2 are compulsory.
Attempt five questions.
Attempt any three questions from Q. 3 to 7.
Figures to the right indicate full marks.
Q.1 Select the correct alternative: 05
In the factorial experiments, replication is used to
Reduce the error variance Make plots homogeneous
Increase the no of plots None of these
In a 23 experiment contrast corresponding to effect ABC is




Factorial experiments
Plots Blocks
Replicates All the above
In 26−2 which is not a resolution IV design
I=ABCD=CDEF I=BCDF=ABEF
I=ABDF=AEDF None of these
In resolution V design all main effects are
Clearly estimable Strongly clearly estimable
Estimable None of these
Q.1 Fill in the blanks: 05
In asymmetrical experiments different factors are at
Mostly interaction is chosen for confounding.
For a experiment in r replicate main effect due to
Orthogonal arrays are developed by
Main effect is significant it there is in response due to
in levels of the factors.
Q.1 State true and false 04
The procedure of moving along the direction of minimization is
steepest ascent.
A Fractional factorial design is used to reduce number of factors.
The variable which are hard to control are called as noise factors.
Confounding is used when plots are homogeneous.
Q.2 Explain the terms: 08
1.factorial experiments
2. Central composite design.
Page 2 of 2
SLR-MS-661
Illustrate in brief: 06
Location and dispersion modeling.
Orthogonal arrays
Q.3 What is total and partial confounding? Write 24 experiment in four blocks
with suitable Generator.
08
Write procedure for analysis of a factorial experiment. 06
Q.4 What is Robust Parameter Design Write different procedures
involved in RPD.
08
What is confounding? Write 33 factorial experiments in 3 blocks with
confounded.
06
Q.5 Explain the terms-
Linear graphs
Interaction table
08
Write a note on- 06
Main and interaction effect plot
Linear and quadratic effect
Q.6 Obtain all main and two factor interaction effect for the following
23experiment in single.
Replicate
08
Treatment Combination
Yield 54 65 182 136 98 188 90 201
What is single replicate design? Write a procedure for analysis of single
replicate design.
06
Q.7 What is fractional factorial experiment? Write subsidiary fraction of 25−1
experiment.
08
What is alias set? Write complete alias set of a 27−2 experiment with
suitable generators.