Table 2.

Sample Monte Carlo standard errors for focused cluster tests with N = 1000

	Radial Score Test	DIR Score Test	Besag and Newell's Test (k = 7)	Cuzick and Edwards' Test (k = 7)	Tango's Test (τ = 5)	LRS DIR Test	LRS DD Test	Stone's Test
DD
α1 = 0.005	0.02	0.02	0.01	0.02	0.02	0.02	0.02	0.02
α1 = 0.05	0.02	0.02	0.01	0.02	0.03	0.02	0.03	0.02
α1 = 0.1	0.02	0.02	0.01	0.02	0.03	0.02	0.03	0.03
α1 = 1	0.05	0.02	0.01	0.03	0.04	0.02	0.04	0.05
α1 = 2	0.03	0.02	0.01	0.04	0.02	0.03	0.01	0.03
α1 = 10	0.04	0.02	0.01	0.05	0.03	0.02	0.03	0.03
DIR
α3 and α4 = 0.005	0.03	0.04	0.01	0.02	0.03	0.04	0.03	0.02
α3 and α4 = 0.1	0.03	0.04	0.02	0.02	0.02	0.05	0.02	0.02
α3 and α4 = 0.2	0.03	0.03	0.01	0.01	0.03	0.01	0.03	0.02
α3 and α4 = 0.5	0.03	0.00	0.02	0.01	0.02	0.00	0.02	0.02
α3 and α4 = 1	0.03	0.00	0.03	0.00	0.03	0.00	0.03	0.02
α3 and α4 = 2	0.03	0.00	0.04	0.00	0.04	0.00	0.04	0.03
PKDD α1 = 0.005
α2 = 0.05	0.03	0.02	0.02	0.02	0.01	0.02	0.02	0.01
α2 = 0.1	0.04	0.02	0.02	0.01	0.01	0.02	0.01	0.00
α2 = 0.5	0.03	0.02	0.04	0.01	0.00	0.02	0.00	0.00
α2 = 1	0.01	0.02	0.04	0.01	0.00	0.02	0.00	0.00