Simple Random Sample

Question 5 • VA-Probability and Statistics

Which of the statements is NOT true regarding the advantages and disadvantages of stratified random sampling?

Answer

One advantage is that when used properly, it provides more precise estimates than simple random samples of the same size.

One advantage is that it reduces variability by creating similar subgroups from which estimates can be obtained.

One advantage is that it makes the process of selecting a sample easier when the population is very large.

One disadvantage is that having knowledge of the population is needed.

Explanation

Stratified random sampling divides a population into meaningful subgroups, or strata, and samples from each one. When the strata are internally similar and formed appropriately, this can reduce variability and give more precise estimates than a simple random sample of the same size, so A and B are true. It requires information about the population to define the strata, making D a real disadvantage. Creating strata does not generally make sample selection easier for a very large population, so C is not true.

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