Which would generally require the largest sample size?

Which would generally require the largest sample size? (a) Cluster sampling

(b) Simple random sampling

(c) Systematic sampling

(d) Proportional stratified sampling

✅ Correct option: (a) Cluster sampling

Explanation:

Cluster sampling generally requires a larger sample size compared to other sampling methods because it is less precise. In cluster sampling, the population is divided into clusters (e.g., schools or communities), and entire clusters are selected randomly. Individuals within a cluster tend to be more similar to one another, which reduces variability and statistical efficiency. To compensate for this reduced precision, researchers often need a larger sample size to achieve accurate and reliable results. Simple random sampling, systematic sampling, and proportional stratified sampling tend to be more statistically efficient and often require smaller samples to achieve the same level of accuracy. Thus, option (a) is correct.

10 Related PPSC Facts:

Cluster sampling groups participants Used for large populations Less precise than random sampling Requires larger samples Cost-effective method Common in educational surveys Clusters increase similarity Stratified sampling improves precision Sampling error is higher Design effect impacts sample size