Exam Details
| Subject | sampling theory | |
| Paper | ||
| Exam / Course | m.sc. (statistics) | |
| Department | ||
| Organization | acharya nagarjuna university-distance education | |
| Position | ||
| Exam Date | May, 2017 | |
| City, State | new delhi, new delhi |
Question Paper
Total No. of Questions 10] [Total No. of Pages 02
M.Sc. DEGREE EXAMINATION, MAY 2017
First Year
STATISTICS
Sampling Theory
Time 3 Hours Maximum Marks: 70
Answer any Five questions
All questions carry equal Marks
Q1) Explain the concepts of
Sample
ii) Sampling frame and
iii) Complete enumeration survey.
Explain the organisation and functions of N.S.S.O.
Q2) Distinguish between sampling and non-sampling errors. Describe the
sources of non-sampling errors.
Explain the organisation and functions of C.S.O.
Q3) Explain simple random sampling with and without replacements. In
SRSWOR obtain the variance of the sample mean.
Explain stratified random sampling. Compare the efficiencies of the
Neyman and proportional allocations with that of an unstratified random
sample of the same size.
Q4) Determine the sample size in sampling from
Attribute data and
ii) Variable data.
What are the advantages and disadvantages of stratified random sampling?
Obtain the variance of sample mean in stratified random sampling.
Q5) Explain systematic sampling. What are its merits and demerits? Determine
the optimum cluster size for fixed cost.
Obtain an unbiased estimator of population mean and its variance in cluster
sampling with clusters of equal size.
Q6) Explain
Systematic sampling and
ii) Circular systematic sampling.
Give their applications two each.
Obtain the variance of sample mean in systematic sampling.
Q7) Explain the procedures of selecting a p.p.s. sample and their advantages.
Obtain the variance of sample mean in two stage sampling with equal
number of second stage units.
Q8) Obtain the variance of sample total in p.p.s. sampling.
Explain two stage sampling. What are its advantages? Give any two of its
applications.
Q9) Discuss the relative efficiency of ratio and regression estimates.
Obtain the variance of the ratio estimate. Compare it with the estimate
based on mean per unit.
Q10) Compare the variances of regression estimates in stratified sampling and
describe the conditions on the optimum Choices of the regression estimate.
Obtain the leading term in the bias of the ratio estimate. Derive the
variance of an unbiased ratio estimator of the population total in stratified
random sampling.
M.Sc. DEGREE EXAMINATION, MAY 2017
First Year
STATISTICS
Sampling Theory
Time 3 Hours Maximum Marks: 70
Answer any Five questions
All questions carry equal Marks
Q1) Explain the concepts of
Sample
ii) Sampling frame and
iii) Complete enumeration survey.
Explain the organisation and functions of N.S.S.O.
Q2) Distinguish between sampling and non-sampling errors. Describe the
sources of non-sampling errors.
Explain the organisation and functions of C.S.O.
Q3) Explain simple random sampling with and without replacements. In
SRSWOR obtain the variance of the sample mean.
Explain stratified random sampling. Compare the efficiencies of the
Neyman and proportional allocations with that of an unstratified random
sample of the same size.
Q4) Determine the sample size in sampling from
Attribute data and
ii) Variable data.
What are the advantages and disadvantages of stratified random sampling?
Obtain the variance of sample mean in stratified random sampling.
Q5) Explain systematic sampling. What are its merits and demerits? Determine
the optimum cluster size for fixed cost.
Obtain an unbiased estimator of population mean and its variance in cluster
sampling with clusters of equal size.
Q6) Explain
Systematic sampling and
ii) Circular systematic sampling.
Give their applications two each.
Obtain the variance of sample mean in systematic sampling.
Q7) Explain the procedures of selecting a p.p.s. sample and their advantages.
Obtain the variance of sample mean in two stage sampling with equal
number of second stage units.
Q8) Obtain the variance of sample total in p.p.s. sampling.
Explain two stage sampling. What are its advantages? Give any two of its
applications.
Q9) Discuss the relative efficiency of ratio and regression estimates.
Obtain the variance of the ratio estimate. Compare it with the estimate
based on mean per unit.
Q10) Compare the variances of regression estimates in stratified sampling and
describe the conditions on the optimum Choices of the regression estimate.
Obtain the leading term in the bias of the ratio estimate. Derive the
variance of an unbiased ratio estimator of the population total in stratified
random sampling.