M.Com. (Semester (CBCS) Examination Nov/Dec-2018
ADVANCED STATISTICS (Paper II)
Time: 2½ Hours Max. Marks: 70
Instructions: All questions are compulsory.
Figures to the right indicate full marks.
Each question carries equal marks.
Use of calculators is allowed.
Q.1 Choose the alternatives given below. 14
The basic principles of the design of experiments are
Randomization Replication
Local Control All of the above
The statistical model used for C. R. D., R. B. D. and L. S. D. is
Linear and additive Nonlinear and additive
Linear and multiplicative Non linear
Randomization is a process in which the treatments are allocated to the
experimental units
at the will of the investigator in a sequence
with equal probability None of these
Replication in an experiment means
the number of blocks
total number of treatments
the number of times a treatment occurs in an experiment
None of these
Which principle of design of experiment minimizes experimental error?
Randomization Replication
Local Control None of the above
Out of five treatments, each treatment replicated four times at completely
random, then error degrees of freedom in the ANOVA table are
4 5
19 15
Which of the following statistical test is used for testing equality of treatment
effects in ANOVA?
F-test t-test
Z-test test
Various objects of comparison in a comparative experiment are termed as

Treatment Experimental units
Plots None of these
Statistical analysis of C. R. D. is analogous with the ANOVA for
classified data.
One-way Two-way
Three-way None of these
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SLR-CS-10
10) Local control is a device to maintain
Homogeneity among blocks Homogeneity within blocks
Both a and b Neither a and b
11) Analysis of experimental data means:
Estimation of treatment effects
Dividing the total variance into component variance
Testing hypothesis about the parameters involved in the experimental
model
All of the above
12) In general, the efficiency of R. B. D. relative to C. R. D. is
Equal to one Greater than one
Greater than or equal to one None of these
13) The term 'Analysis if Variance' was first introduced by
R. A. Fisher Gauss
Gauss-Markoff None of these
14) Completely randomized design are mostly used in
field experiment experiments on animals
plot experiment all the above
Q.2 What is RBD? State its advantages and disadvantages? 07
What are basic principles of design of experiments? 07
Q.3 What is CRD? Obtain efficiency of RBD over CRD. 07
Fill in the blank in the following ANOVA table of the RBD. 07
Sources of
variation
Sum of
square
Degrees of
freedom
Mean sum of
square
Blocks 26.8 4
Treatment 3
Error 2.5
Total 85.3
Q.4 Attempt any one of the following. 14
Give the mathematical model of CRD and its complete Analysis.
Set the ANOVA table for the following RBD.
Block I Block II Block III Block IV
A C A B
8 10 6 10
C B B A
12 8 9 8
B A C C
10 8 10 9
Q.5 Attempt any one of the following. 14
Define RBD. Giving its mathematical model provide the complete procedure
of its analysis.
Set the analysis of variance for the following two-way classification.
Varieties
Chemists
1 2 3 4
A 8 5 5 7
B 7 6 4 4
C 3 6 5 4