Sampling Technique

Some questions with linked answers :

Question 1: Define cluster sampling with a suitable example

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Question 2: Mention different methods of selecting clusters along with suggested estimators of population total in each case.

Ans: Cluster sampling is a sampling technique where the population is divided into clusters, and a random sample of clusters is selected. Then, all or a sample of elements within each selected cluster is observed.

Here are some common methods of cluster sampling and their associated estimators of the population total:

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In case of with replacement sampling :

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Question 5: Define Durbin's method for selecting two unequal clusters with unequal probability without replacement. What is the normalizing probability of selecting the i-th unit at the 2nd draw?

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Question 6 : Explain Murthy's scheme of selecting an unordered sample and define an unordered estimator for the population total that is unbiased.

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Question 7 : Define Brewer's method for selecting two unequal clusters with unequal probability without replacement. Find the normalizing probability of selecting the i-th unit at the first draw. What is the probability of selecting the j-th unit at second draw?

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