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Table 2 Distribution of predictors (x 1- x 7) across villages (V1-V5) and the resulting intra-cluster correlation of the predictor

From: Can the buck always be passed to the highest level of clustering?

  Proportion of individuals positive Intra-cluster correlation \(\hat {\rho }_{x}^{(vil)}\)
Predictor V1 V2 V3 V4 V5  
x 1,x 5 0.2 0.2 0.2 0.2 0.2 –0.01
x 2,x 6 0 0.1 0.1 0.3 0.5 0.19
x 3,x 7 0 0.05 0.1 0.1 0.75 0.48
x 4 0 0 0 0 1 1
  1. N.B. In the simulation with 20 villages we created 4 identical sets of villages using the proportions for V1-V5