Solapur Universiry Question Paper
M.Com. (Part – I) (Sem. – I) (Old) Examination, 2014
ADVANCED STATISTICS (Gr. K) (Paper – II)
Design of Experiments
Day and Date : Monday, 21-4-2014 Max. Marks : 50
Time : 3.00 p.m. to 5.00 p.m.
N. B. : 1) All questions are compulsory.
2) Figures to the right indicate full marks.
1. Choose the correct alternative : 10
1) The design of experiments were originated mainly for
a) field of medicine b) field of experiments
c) both a) and b) d) none of these
2) The total number of possibilities in which arrangements can be made in a
3×3 Latin square are
a) 6 b) 9
c) 12 d) None of these
3) The number of times a treatment is repeated in an experiment is called
a) Replication b) Randomization
c) Local control d) None of these
4) Design of experiments is a branch of
a) Statistics b) Mathematics
c) Both a) and b) d) None of these
5) The most frequently used of experimental designs in practice is
a) Latin square b) Randomised block design
c) Latin cubes d) None of these
6) Principles of design of experiments are
a) Replication b) Randomisation
c) Local control d) All the above
7) Errors sum of squares in RBD as compared to CRD using the same material is
a) More b) Less
c) Equal d) Not comparable
SLR-N – 10
8) A randomised block design has
a) Two-way classification b) One-way classification
c) Three-way classification d) No classification
9) Errors in a statistical model are always taken to be
a) Independent b) Distributed as N ( ) 2
e 0, σ
c) Both a) and b) d) None of these
10) The layout : A B C D
BCDA
CDA B
DA BC
Stands for
a) Cross over design b) Randomised block design
c) Latin square design d) None of these
2. a) Write a note on completely randomised design. 5
b) Explain the terms : 5
i) Size of the plot.
ii) Shape of blocks and plots.
3. a) Explain the advantages and disadvantages of randomised block design. 5
b) What is analysis of variance ? Point out the assumptions underlying it. 5
4. Attempt any one of the following : 10
a) What is Latin Square Design (LSD) ? Give the mathematical model,
assumptions and hypothesis that can be tested.
b) Describe the technique of analysis of variance for two-way classification.
5. Attempt any one of the following : 10
a) Describe Randomised Block Design (RBD). Give the mathematical model,
assumptions and hypothesis to be tested.
b) Work out the analysis of variance with one-way classification. State the
assumptions made.
_____________________
M.Com. (Part – I) (Sem. – I) (Old) Examination, 2014
ADVANCED STATISTICS (Gr. K) (Paper – II)
Design of Experiments
Day and Date : Monday, 21-4-2014 Max. Marks : 50
Time : 3.00 p.m. to 5.00 p.m.
N. B. : 1) All questions are compulsory.
2) Figures to the right indicate full marks.
1. Choose the correct alternative : 10
1) The design of experiments were originated mainly for
a) field of medicine b) field of experiments
c) both a) and b) d) none of these
2) The total number of possibilities in which arrangements can be made in a
3×3 Latin square are
a) 6 b) 9
c) 12 d) None of these
3) The number of times a treatment is repeated in an experiment is called
a) Replication b) Randomization
c) Local control d) None of these
4) Design of experiments is a branch of
a) Statistics b) Mathematics
c) Both a) and b) d) None of these
5) The most frequently used of experimental designs in practice is
a) Latin square b) Randomised block design
c) Latin cubes d) None of these
6) Principles of design of experiments are
a) Replication b) Randomisation
c) Local control d) All the above
7) Errors sum of squares in RBD as compared to CRD using the same material is
a) More b) Less
c) Equal d) Not comparable
SLR-N – 10
8) A randomised block design has
a) Two-way classification b) One-way classification
c) Three-way classification d) No classification
9) Errors in a statistical model are always taken to be
a) Independent b) Distributed as N ( ) 2
e 0, σ
c) Both a) and b) d) None of these
10) The layout : A B C D
BCDA
CDA B
DA BC
Stands for
a) Cross over design b) Randomised block design
c) Latin square design d) None of these
2. a) Write a note on completely randomised design. 5
b) Explain the terms : 5
i) Size of the plot.
ii) Shape of blocks and plots.
3. a) Explain the advantages and disadvantages of randomised block design. 5
b) What is analysis of variance ? Point out the assumptions underlying it. 5
4. Attempt any one of the following : 10
a) What is Latin Square Design (LSD) ? Give the mathematical model,
assumptions and hypothesis that can be tested.
b) Describe the technique of analysis of variance for two-way classification.
5. Attempt any one of the following : 10
a) Describe Randomised Block Design (RBD). Give the mathematical model,
assumptions and hypothesis to be tested.
b) Work out the analysis of variance with one-way classification. State the
assumptions made.
_____________________
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