Sampling Techniques (ISS Statistics Paper III): Questions 18 - 22 of 30

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 90 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 18

» Sampling Techniques » Probability Sampling or Random Sampling

Appeared in Year: 2011

Essay Question▾

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

Lahiri’s Method of selecting samples for PPS scheme:

Let M = max Mi maximum of the sizes of N units in the population (i = 1, 2, …10)

Steps involved in selecting samples:

1) Select a random number i from 1 to N

2) Select one more random number… (456 more words) …

Question number: 19

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2010

Short Answer Question▾

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: 20

» Sampling Techniques » Cluster Sampling With SRS - Intra-Class Correlation Coefficient

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Discuss cluster sampling. Let Y be the sample mean based on a sample of nM elements. y̅ is the sample mean based on a sample of nM elements drawn for SRS without replacement from NM elements in the population. Obtain Relative efficiency of Y with respect to y̅ (without getting the derivation of V ( y̅ ) and V ( y ) ). Write its ANOVA table.

Explanation

Cluster sampling:

Cluster sampling is a type of sampling method. If the population size is very large, the samplings lead to several difficulties. It might be tough to prepare a frame for large population size. In such case the, cluster sampling is used. In this method, the population is divided… (568 more words) …

Question number: 21

» Sampling Techniques » Simple Random Sampling and Systematic Sampling

Appeared in Year: 2012

Short Answer Question▾

Write in Short

Show that mean of a systematic sample is more precise than the mean of a simple random sample of size n under a certain condition to be obtained by you.

Question number: 22

» Sampling Techniques » Stratified Random Sampling

Appeared in Year: 2012

Essay Question▾

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 N1, N2, …, Nk (called as strata) such that N= i=1kni.

Then a simple random sample of size n… (471 more words) …

Sign In