# Sampling Techniques-Stratified Random Sampling (ISS (Statistical Services) Statistics Paper III): Questions 6 - 8 of 8

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## Question number: 6

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2010

### Write in Short

What is PPS Sampling? Explain why such type of sampling is needed? Describe Lahiri’s method for PPS selection of sample.

## Question number: 7

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2012

### Describe in Detail

Discuss the allocation of a sample to different strata in stratified sampling. Explain proportional allocation and hence obtain the variance of mean of a stratified sample under proportional allocation.

### Explanation

For a population consisting of N sampling units it can be divided into k relatively homogeneous sub-groups of sizes, , …, (called as strata) such that N=.

Then a simple random sample of size (i = 1,2, …, k) is drawn from each of the stratum such that n=, and this sample is the stratified random sample of size n.

**Allocati**

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## Question number: 8

» 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 under study may be used to divide the

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