GAYATRI VIDYA PARISHAD COLLEGE FOR DEGREE AND P.G. COURSES (A)
DEPARTMENT OF STATISTICS
SYLLABUS FOR FIFTH SEMESTER.
w.e.f 2015-16
Paper – V: SAMPLING TECHNIQUES AND
DESIGN OF EXPERIMENTS
Course
Objectives:
The objective of the course is to understand
an overview of the concepts of how to plan, design and conduct sampling
technique efficiently and effectively, theory and applications of various
sampling procedures in survey research methods. To understand the procedure of
testing of hypothesis, analysis and interpretation of ANOVA technique. To
understand the concepts of design of experiments, various designs and
statistical analysis issues.
Unit-I (10 hours) [CO1]
Sampling Theory: Principle steps in
a sample survey, Censes versus sample survey, sampling and Non-sampling errors.
Types of sampling - subjective, probability and mixed sampling methods.
Unit-II (10 hours)
[CO2]
Simple Random Sampling: Meaning of
Samples and methods to draw, estimation of population mean, variances in
SRSWR& SRSWOR.
Unit-III
(11 hours) [CO3]
Stratified random sampling:
Proportional and optimum allocation of sample sizes in stratification.
Variances in these methods. Systematic sampling: Systematic sampling when N =
nk comparison of their relative efficiencies. Advantages and Disadvantages of
above methods of sampling.
Unit-IV (11 hours) [CO4]
Analysis of Variance: One way with equal and unequal classifications and two way classifications.
Unit
– V
(13 hours) [CO5]
Design of Experiments: Principles
of experimentation in Designs, analysis of completely randomised design (CRD),
and Randomised block design (RBD) and Latin square design (LSD) including one
missing observation. Efficiency of these designs and concept of factorial
Experiment.
Practical’s Semester – V:
1.
Estimation of population Mean,
variance by SRSWOR.
2.
Estimation of population Mean, variance
by SRSWR.
3.
Comparison of proportional, optimum
allocations with SRSWOR.
4.
Systematic Sampling.
5.
ANOVA-CRD.
6.
ANOVA - RBD with one missing
observation.
7.
ANOVA - LSD withone missing
observation.
8.
Practical’s are to be conducted using MS-Excel.
Course Objectives:
1. Student can learn an overview of the concepts of how to
plan, design and different sampling techniques
2. Student able to conduct sampling technique efficiently and
effectively, understand the theory and applications of Simple Random sampling method.
3. Student able to conduct sampling technique efficiently and
effectively, understand the theory and applications of Stratified and
Systematic sampling methods.
4. Student can enhance the procedure of testing of hypothesis,
analysis and interpretation of ANOVA technique.
5. Student acquires
knowledge about the concepts of design of experiments, various designs and applies
ANOVA technique for analysis of designs.
Text Books:
1.
Telugu
AcademyBA/BSc III year paper - III Statistics - applied statistics - Telugu
academy by Prof.K.SrinivasaRao, Dr D.Giri. Dr A.Anand, Dr V.PapaiahSastry.
2.
Statistics
Made Simple: Do it yourself on PC, K.V.S. Sarma,PHI.
Reference
Books:
1.
Fundamentals of applied statistics: VK
Kapoor and SC Gupta.
2.
AnuvarthitaSankyakaSastram- Telugu Academy, V L Narasimham.
e-Source: (Sampling Techniques and Design of
Experiments)
https://www.youtube.com/watch?v=bQ5_PPRPjG4
https://www.youtube.com/watch?v=mlQRIoBErso
https://www.youtube.com/watch?v=yx5KZi5QArQ
https://www.youtube.com/watch?v=rsNCCQhkKN8
https://www.youtube.com/watch?v=sYRUYJYOpG0
https://www.youtube.com/watch?v=q48uKU_KWas
https://www.youtube.com/watch?v=5eGHZsGi4ZE
https://www.youtube.com/watch?v=82GOJMqKd2Y
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GAYATRI VIDYA PARISHAD COLLEGE FOR DEGREE AND P.G COURSES (A) |
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III Year B.Sc. (STATISTICS) |
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Semester – V, MODEL PAPER |
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PAPER-V: SAMPLING
TECHNIQUES AND DESIGN OF EXPERIMENTS |
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(With effect from 2017-18)
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Date: |
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Max. Marks: 75 |
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TIME: |
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SECTION – A |
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I. Answer the
following questions |
4× 10 = 50 M |
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1. (a) |
Explain
in detail various steps in sample survey.(CO1) |
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OR |
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(b) |
Explain
sampling and non-sampling errors.(CO1) |
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2.(a) |
Define Simple Random Sampling. In Simple Random
Sampling without replacement, show that Var ( |
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OR |
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(b) |
How do you allocate the sample
sizes from different strata in stratified random sampling? Also show that Var
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3. (a) |
Write
advantages and disadvantages of systematic sampling.(CO3) |
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OR |
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(b) |
Describe the statistical analysis of
two-way ANOVA.(CO4) |
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4. (a) |
Explain the principles of
experimentation.(CO5) |
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OR |
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(b) |
Analyse
the Randomized Block Design.(CO5) SECTION-B |
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II.
Answer any Five of the following questions |
5 ´
3 = 15 M |
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5. |
Explain
the subjective sampling method.(CO1) |
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6. |
Describe
various probability sampling methods.(CO2) |
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7. |
What
is Simple Random Sampling with replacement and without replacement?(CO3) |
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8. |
What
are the advantages and disadvantages of stratified random sampling?(CO3) |
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9. |
Describe
the statistical analysis of one-way ANOVA.(CO4) |
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10. |
State
the assumptions of two-way ANOVA.
(CO4) |
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11. |
Write
a note on Factorial experiment.
(CO5) |
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12. |
Define
the experimental error.(CO5) |
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SECTION – C |
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III. Answer All
the following questions |
10 ´
2 = 20 M |
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13. |
Distinguish
between census survey and sample survey.(CO1) |
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14. |
State
the limitations of sampling.(CO1) |
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15. |
What
is the estimate of population total in simple random sampling?(CO2) |
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16. |
Describe
the method of Random Numbers.(CO2) |
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17. |
Describe
the disadvantages of stratified random sampling.(CO3) |
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18. |
Define
stratified random sampling.(CO3) |
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19. |
State
the assumptions of one-way ANOVA.
(CO4) |
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20. |
Define
Least Significant Difference.(CO4) |
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21. |
State
the advantages of CRD.(CO5) |
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22. |
State the formula for finding missing value in LSD.(CO5)
GAYATRI VIDYA PARISHAD COLLEGE FOR DEGREE & P.G.
COURSES (A) III Year B.Sc. (STATISTICS) SEMESTER-V, (BLUE PRINT) Paper-V: SAMPLING
TECHNIQUES AND DESIGN OF EXPERIMENTS Time: 3hours Max.Marks:75
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