Question

For this question:- Take a simple random sample of 5 schools in the district. For each school in the sample, list all the homerooms. Take a simple random sample of 3 homerooms from each school in the sample. For each homeroom in the sample, list the students. Take a simple random sample of 10 students from each homeroom in the sample. List their weights. Combine the lists and average the results.

I answered "a random stratified multistage random cluster sample" but it was wrong. How should I think about this question?

Answer 1

Because the " stratified" word is not appropriate here,

See in the first stage we select 5 schools using simple random sample

then in the next stage we select 3 homerooms from each school using simple random sample

and then select 10 students from each homeroom in the sample

Since there are more than 2 stages of selection it is multistage random sampling ( three stage random sampling).

Also, we can not study all the clusters so "cluster" is not appropriate as per the sampling theory.

So it is "Multistage random sampling".