M.Com. (Semester (CBCS) Examination Oct/Nov-2017
ADVANCED STATISTICS
Day Date: Saturday, 18-11-2017 Max. Marks: 70
Time: 02.30 PM to 05.00 PM
Instructions: All questions are compulsory.
Each questions carry equal marks.
Figures to the right indicate full marks.
Use of calculators is allowed.
Q.1 Choose the alternatives given below. 14
A devic or a means of getting on answer to the problem under consideration
is called as
Treatment Experimental Field
Experiment None of these
An experiment designed to compare the effect of two or more objects on
some population characteristic is called as
Absolute experiment Comparative experiment
Mixed experiment None of these
Various objects of comparison in a comparative experiment are termed as

Experimental Unit Treatment
Experimental Field None of these
Generally as compared to field as a whole, Blocks are
More homogeneous Less homogeneous
Cannot say such None of these
Experimental error may be due to
The inherent variability in the experimental material to which treatments
are applied.
The lack of uniformity in the methodology of conducting the experiment.
Lack of representativeness of the sample to the population under study.
All of these
The repetition of treatments under investigation is known as
Randomization Replication
Local Control None of these
If E is the efficiency of design D1 w.r.t. D2, then design D1 is said to be more
efficient than design D2. If
E 1 E
E 1 None of these
How many principles of Experimental Design are there?
3 4
5 None of these
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The precision of the experiment is inversely proportional to the
no. of replication.
Square Square root
Cube root None of these
10) Which of the following designs provides the maximum number of degrees of
freedom for the estimation of the error variance?
CRD RBD
LSD None of these
11) Which of the following designs allows complete flexibility as any number of
treatments and replicates may be used?
CRD RBD
LSD None of these
12) In which design block effects are considered?
CRD RBD
LSD None of these
13) Which of the following designs is an incomplete 3-way layout?
CRD RBD
LSD None of these
14) Mean Sum of Squares is obtained by
SS x d.f. SS d.f.
SS d.f. None of these
Q.2 Explain principles of Design of Experiment. 07
Complete the following table for the ANOVA of RBD. 07
Source of Variation S.S. d.f. M.S.
Blocks 26.8 4
Treatments 3
Error 2.5
Total 85.3
Q.3 Define CRD. State its advantages and disadvantages. 07
Complete the following table for the analysis of Variance of CSD. 07
Source of Variation Sum of Squares d.f. M.S.
Columns 5
Rows 4.20
Treatments 2.43
Errors 0.65
Total 39.3
Test the hypothesis that treatments are equally effective.
Q.4 Attempt any one of the following. 14
Give the complete Analysis of RBD.
For the following LSD, Set the Analysis of Variance.
A12 C19 B10 D8
C18 B12 D6 A10
B22 D10 A5 C21
D12 A7 C27 B17
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Q.5 Give the complete ANOVA of LSD. 14
OR
An experiment was carried out on wheat with three treatments in four
randomized blocks. The plan and yield per plot in kg are given in the
following table.
Blocks
I II III IV
A8 C10 A6 B10
C12 B8 B9 A8
B10 A8 C10 C9
Analyse the data and state the conclusion.