Sampling Techniques (ISS (Statistical Services) Statistics Paper III): Questions 28  30 of 30
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Question number: 28
» Sampling Techniques » Probability Sampling or Random Sampling
Appeared in Year: 2013
Describe in Detail
Give the names of various procedures for selecting a sample using probability proportional to size (PPS) scheme. Obtain an unbiased estimator of the population mean under PPS.
Explanation
Procedures for selecting a sample using probability proportional to size (PPS) scheme are:

PPS sampling with Replacement

PPS sampling without Replacement

Cumulative total method

Lahiri’s method
An unbiased estimator of the population mean under PPS:
Let = value of the ith unit of the population, i = 1, 2,
Question number: 29
» Sampling Techniques » Stratified Random Sampling
Appeared in Year: 2013
Describe in Detail
Describe the principles of stratification. Explain how the allocation of sample size in different strata is made.
Explanation
Principles of stratification:
The principle of stratification is the division of the population in such a way that the elements within a stratum are as similar as possible and the means of the strata are as different as possible.
Auxiliary information (past or some other information) related to the character
Question number: 30
» Sampling Techniques » Simple Random Sampling With and Without Replacement
Appeared in Year: 2014
Describe in Detail
Define linear systematic sampling. Does it give equal probability of selection to all the population units? State the advantages and limitations of systematic sampling. Can a systematic sample be drawn without a physical list of population units? Justify your claim.
Explanation
Linear systematic sampling:
Linear systematic sampling is a commonly employed technique if the complete and upto date list of the sampling units is available. This consists in selecting only the first unit at random, the rest being automatically selected according to some predetermined pattern involving regular spacing of units.
Let