Table 2.

Power calculations of the Weighted Cumulative Geographic Residual Test (CGR) and Weighted Spatial Scan Statistic (SS) for different distributions.

	Distribution
	Normal		DoubleE		Logistic		Uniform		Lognormal		Poisson
c	CGR	SS	CGR	SS	CGR	SS	CGR	SS	CGR	SS	CGR	SS
0.5	0.20	0.25	0.14	0.23	0.22	0.25	0.22	0.30	0.17	0.13	0.21	0.19
1.0	0.68	0.88	0.40	0.86	0.66	0.86	0.65	0.90	0.59	0.71	0.56	0.63
1.5	0.96	1.00	0.72	1.00	0.95	1.00	0.96	1.00	0.88	0.99	0.88	0.95
2.0	1.00	1.00	0.94	1.00	1.00	1.00	1.00	1.00	0.91	1.00	0.98	0.99
3.0	1.00	1.00	1.00	1.00	1.00	1.00	1.00	1.00	0.92	1.00	1.00	1.00

^*Results for Spatial Scan Statistic were done and reported by Huang et al. (2009).

Model Framework: w_i = 1

For Normal, Double Exponential, logistic, and uniform: $E(Y_i\mid Z_i^{\ast })=c\sqrt{(2)}$ and $\mathit{Var}(Y_i\mid Z_i^{\ast })=1$.

For lognormal: $E(Y_i\mid Z_i^{\ast })=2+c\sqrt{2}$ and $\mathit{Var}(Y_i\mid Z_i^{\ast })=1$.

For Poisson: $E(Y_i\mid Z_i^{\ast })=1+c\sqrt{2}$ and $\mathit{Var}(Y_i\mid Z_i^{\ast })=1+c\sqrt{2}$.

$\text{power}=\frac{1}{1000}{\displaystyle \sum _{j=1}^{1000}}I(P_j<0.05)$