n Conglomerado (aprox)

The cluster sampling size calculator (n ≈ simple n × DE²) estimates the required sample size for studies using cluster sampling. This method is common in epidemiological research, where groups (such as neighborhoods or schools) are sampled as units. The formula adjusts the simple random sample size (n_simple) by multiplying it with the squared design effect (DE²), which measures variability within clusters.

The design effect (DE) depends on the correlation among elements inside each cluster. If elements within a cluster are very similar (high correlation), DE² increases, requiring a larger sample for accuracy. For example, if a health survey needs 100 people in simple sampling and DE² is 2, the adjusted size becomes 200. This compensates for reduced diversity within sampled groups.

Use this calculator for clustered studies like population surveys, market research with predefined regions, or educational assessments in schools. Caution: DE² values must be estimated from prior data or similar literature. Incorrect values may under or overestimate the necessary sample, compromising result validity.

The approximation n_cluster = n_simple × DE² is simplified and may not reflect the complexity of real-world cluster sampling. For advanced scenarios (like subsampling or multi-level clusters), consult a statistician. This tool is ideal for initial calculations but review assumptions before field application.