. Author manuscript; available in PMC: 2014 Jul 23.

Published in final edited form as: Biometrics. 2014 Jan 21;70(2):409–418. doi: 10.1111/biom.12139

Table 1.

Type I error estimates obtained by contrasting pairs simulated under H₀ : ρ_{X_s, Y_s} = 0, to the null distribution returned by our algorithm and Clifford’s method, in addition to the true null obtained by simulating independent pairs under model (2). Results are presented for different levels of autocorrelation and resolution: ϕ ∈ (0.05, 0.1, 0.3) and g ∈ (0.05, 0.01). The standard errors are in brackets.

Type I Error Estimates

	ϕ = 0.05	ϕ = 0.1	ϕ = 0.3
grid size = 0.05	0.052 (0.024)	0.046 (0.022)	0.048 (0.024)	true
	0.059 (0.029)	0.056 (0.035)	0.051 (0.041)	ours
	0.055 (0.027)	0.055 (0.029)	0.093 (0.045)	Clifford

grid size = 0.01	0.053 (0.027)	0.049 (0.023)	0.051 (0.022)	true
	0.075 (0.030)	0.051 (0.027)	0.050 (0.045)	ours
	0.055 (0.027)	0.058 (0.026)	0.086 (0.044)	Clifford