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
If AB and BC are confounded with incomplete block in
experiment, then automatically confounded effects is
ABC AC
A B
… …
…
In the following model, which parametric functions are estimable?
0 0
0
The degrees of freedom associated with error sum of squares for
two-way classification with one observation per cell, when factor A is
at levels and factor B at levels are
a
ab-1 b
Fractional factorial reduces
Number of replicates Number of blocks
Number of factors None of these
One third fraction of 33 experiment contains treatments.
3 27
9 18
Q.1 Fill in the blanks: 05
interaction/s considered as generator/s in confounding
experiment.
Complete block design is always.
In experiment main effects carries d.f.
and effects are important in factorial experiment.
is necessary and sufficient condition for orthogonality of block
design.
Q.1 State true and false: 04
In two-way ANOVA with interaction, least square estimates are
unbiased.
All main effects are strongly clearly estimable in resolution are
unbiased.
All main experimental error is small, then the design is less efficient.
Principle block contains treatment
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SLR-MS-656
Q.2 Write short notes on: 08
Less aberration design
ANOVA v/s Regression.
Write consequences of half fraction in fractional factorial experiment. 03
Write short note on orthogonal block design. 03
Q.3 Obtain half fraction and alias structure of 25 with suitable generator. 07
State and prove necessary and sufficient condition for orthogonality of
block design.
07
Q.4 What is resolution of design? What are resolutions III, IV and V designs? 07
Define the terms-
Connectedness Balancedness Completeness
07
Q.5 Explain Yate's procedure for obtaining contrast due to effects. 07
Obtain the least square estimators of the parameters in two-way ANOVA
model without interaction.
07
Q.6 Explain basic principles of design of experiments. 07
Define partial confounding. Explain with illustration. 07
Q.7 Describe analysis of one-way ANOCOVA. 07
State and prove necessary and sufficient condition for connectedness of
orthogonal block design.