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Data Collectionmedium
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A survey researcher uses cluster sampling with mmm units per cluster and an intra-class correlation ρ\rhoρ. The design effect is Deff=1+(m−1)ρDeff = 1 + (m-1)\rhoDeff=1+(m−1)ρ. If ρ=0\rho = 0ρ=0, what does this imply about the variance of the cluster sample mean compared to an SRS of the same size?