LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B.Sc. DEGREE EXAMINATION – STATISTICS
THIRD SEMESTER – NOVEMBER 2012
ST 3504/3502/4500 – BASIC SAMPLING THEORY
Date : 05/11/2012 Dept. No. Max. : 100 Marks
Time : 9:00 – 12:00
PART – A
Answer ALL the questions (10×2=20 Marks)
- What is meant by sampling frame?
- What is pilot survey?
- Define simple random sampling with replacement.
- Define unbiased estimator of a parameter.
- Distinguish between SRSWR and SRSWOR.
- Explain stratified random sampling.
- Write any two advantages of stratified sampling.
- Define Lahiri’s method.
- Define linear systematic sampling.
- Write down the merits of systematic sampling.
PART – B
Answer any FIVE questions (5×8=40 Marks)
- What are the advantages of sampling over census method?
- List out the dangers in using statistical packages.
- Derive any two properties of sample mean in SRSWR.
- Prove that in stratified sampling, sample mean is an unbiased estimator of population mean.
Also find its variance.
- Write a descriptive note on cluster sampling.
- Explain ‘Lottery Method’ of selecting a simple random sample.
- Explain the advantages and disadvantages of systematic sampling.
- Explain cumulative total method of PPS selection.
PART – C
Answer any TWO questions (2×20=40 Marks)
- (a) What are non-sampling errors? Explain its sources.
(b) Write a note on simple random sampling of attributes.
- (a) If the population consists of linear trend, then prove that
.
(b) Compare
- (a) Derive the variance of unbiased estimator for mean per element under cluster sampling in
terms of the intra cluster correlation.
(b) Prove that is unbiased for in SRSWOR.
- Define systematic sampling. Obtain the sampling variance of the mean and
compare with that of SRSWOR and stratified sampling.
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