Table 2.

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

	Proportion of individuals positive					Intra-cluster correlation ${\widehat{\rho }}_x^{\left(\mathit{\text{vil}}\right)}$
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

N.B. In the simulation with 20 villages we created 4 identical sets of villages using the proportions for V1-V5