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. Author manuscript; available in PMC: 2012 Dec 1.
Published in final edited form as: Spat Spatiotemporal Epidemiol. 2011 Sep 29;2(4):291–300. doi: 10.1016/j.sste.2011.09.001

Table 1.

Approximate chi-square test applied with nominal significance levels to simulated data in circular study region

N = 400 α = 0.01
Type I Error (95%CI)
α = 0.05
Type I Error (95%CI)
α = 0.10
Type I Error (95%CI)

P(Disease)=0.01 0.034 (0.023,0.045) 0.151 (0.129,0.173) 0.269 (0.242,0.296)
P(Disease)=0.10 0.059 (0.044,0.074) 0.188 (0.164,0.212) 0.288 (0.260,0.316)
P(Disease)=0.50 0.062 (0.047,0.077) 0.179 (0.155,0.203) 0.272 (0.244,0.300)

N = 1,000 α = 0.01
Type I Error (95%CI)
α = 0.05
Type I Error (95%CI)
α = 0.10
Type I Error (95%CI)

P(Disease)=0.01 0.036 (0.024,0.048) 0.156 (0.134,0.178) 0.250 (0.223,0.277)
P(Disease)=0.10 0.048 (0.035,0.061) 0.156 (0.134,0.178) 0.256 (0.229,0.283)
P(Disease)=0.50 0.060 (0.045,0.075) 0.170 (0.147,0.193) 0.269 (0.242,0.296)

N = 1,600 α = 0.01
Type I Error (95%CI)
α = 0.05
Type I Error (95%CI)
α = 0.10
Type I Error (95%CI)

P(Disease)=0.01 0.045 (0.032,0.058) 0.181 (0.157,0.205) 0.283 (0.255,0.311)
P(Disease)=0.10 0.046 (0.033,0.059) 0.142 (0.120,0.164) 0.237 (0.211,0.263)
P(Disease)=0.50 0.047 (0.034,0.060) 0.156 (0.134,0.178) 0.235 (0.209,0.261)

N = 6,400 α = 0.01
Type I Error (95%CI)
α = 0.05
Type I Error (95%CI)
α = 0.10
Type I Error (95%CI)

P(Disease)=0.01 0.053 (0.039,0.067) 0.160 (0.137,0.183) 0.238 (0.212,0.264)
P(Disease)=0.10 0.044 (0.031,0.057) 0.147 (0.125,0.169) 0.237 (0.211,0.263)
P(Disease)=0.50 0.056 (0.042,0.070) 0.177 (0.153,0.201) 0.258 (0.231,0.285)