# Sampling Techniques-Probability Sampling or Random Sampling (ISS (Statistical Services) Statistics Paper III): Questions 1 - 4 of 4

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## Question number: 1

» Sampling Techniques » Probability Sampling or Random Sampling

Appeared in Year: 2011

### Describe in Detail

Discuss Lahiri’s method of selecting samples for PPS scheme. Give a suitable example to select

4 units when N = 10, M = 60, by taking your choice of sample number and its corresponding size.

### Explanation

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## Question number: 2

» Sampling Techniques » Probability Sampling or Random Sampling

Appeared in Year: 2012

### Write in Short

Let be the *y*-value of the i^{th} unit and be corresponding selection probability,

i = 1, 2, …, N. Then, based on a sample of size n drawn with replacement, show that an unbiased estimator for population total is

## Question number: 3

» Sampling Techniques » Probability Sampling or Random Sampling

Appeared in Year: 2012

### Write in Short

Obtain an unbiased estimator of the gain due to PPSWR sampling as compared to SRSWR.

## Question number: 4

» 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

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