Data Collectionhard
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In a cluster sample, the variance of the sample mean yˉcl\bar{y}_{cl} compared to simple random sampling (SRS) is given by V(yˉcl)=V(yˉSRS)×DeffV(\bar{y}_{cl}) = V(\bar{y}_{SRS}) \times Deff. If the cluster size is m=21m=21 and the Intra-class Correlation Coefficient is ρ=0.05\rho=0.05, what is the Design Effect (DeffDeff)?