Given a sample of 100 elements which of the following design

Given a sample of 100 elements, which of the following designs is likely to yield estimates having the highest standard errors? Justify your answer.

Solution

B. Cluster sampling. The reason for this is because of homogeneity among listing units within the same cluster, selection of more than one element within the same cluster, as is done in cluster sampling, is in a sense redundant. The effect of this redundancy becomes evident in the high standard errors of estimates that are so often seen in cluster sampling.