Question

What is multistage stratified random sampling?
(a) Probability Sampling
(b) Selective Sampling
(c) Non – Probability Sampling
(d) None of the above

Answer 1

Hint: To solve this question, we will first of all define the stratified sampling and multistage sampling, both separately. Then we will finally mix the definitions to get the exact answer of the multistage stratified random sampling.

Complete step by step answer:
The Stratified multistage random sampling is an effective method that combines the techniques of stratified random sampling and multistage sampling. Let us define multistage sampling and stratified random sampling separately.
Multistage sampling divides large populations into stages to make the sampling process more practical. Let us consider an example to understand it better. Let us suppose that we wanted to find out which cuisine the people of India preferred the most. Now, here we have a population list, i.e a list of all residents of India, which would be nearly impossible, so we cannot take a sample of the population. So, here we will divide the population into stages and then take a simple random sample of the various states. We might then take a simple random sampling on the people within the states to get our next sample. This is what we can define as multistage sampling.
Now, we will discuss Stratified Random Sampling. Stratified Random Sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. We can notice that the stratified random sampling differs from simple random sampling as it involves the random selection of data from an entire population, so each possible sample is equally likely to occur.
So, combining these two, we get stratified Multistage Sampling.
There are different terms where the probability is considered in Stratified Multistage Sampling.
As at each stage, we are considering Selective Sampling. Hence, Multistage Stratified Random Sampling or Stratified Multistage Random Sampling is a selective sampling.

So, the correct answer is “Option B”.

Note: The difference between the Stratified Sampling and Multistage Sampling is given as below. With Stratified Sampling, the sample includes the elements from each stratum. With cluster sampling, in contrast, the sample includes the elements from the sampled cluster. With Multistage Sampling, we select a sample by using the combinations of different samples.