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. Author manuscript; available in PMC: 2015 Jul 1.
Published in final edited form as: J Am Stat Assoc. 2014 Jul;109(507):1084–1098. doi: 10.1080/01621459.2014.881742

Table 2.

Simulation Study for Wβ(d0; h): estimates (ES) and standard errors (SE) of rejection rates for pixels inside the five ROIs were reported at 2 different scales (h0, h10), N(0, 1) and χ2(3) − 3 distributed data, and 2 different sample sizes (n = 60, 80) at α = 5%. For each case, 200 simulated data sets were used.

χ2(3) − 3 N(0, 1)
n = 60 n = 80 n = 60 n = 80

β2(d0) s ES SE ES SE ES SE ES SE
0.0 h0 0.056 0.016 0.049 0.015 0.048 0.015 0.050 0.016
h10 0.055 0.016 0.042 0.015 0.036 0.016 0.040 0.019

0.2 h0 0.210 0.043 0.245 0.039 0.282 0.033 0.370 0.035
h10 0.358 0.126 0.413 0.139 0.777 0.107 0.870 0.081

0.4 h0 0.556 0.072 0.692 0.054 0.794 0.030 0.895 0.024
h10 0.792 0.129 0.894 0.078 0.994 0.006 0.998 0.003

0.6 h0 0.907 0.040 0.966 0.022 0.988 0.008 0.998 0.003
h10 0.986 0.023 0.997 0.009 1.000 0.001 1.000 0.000

0.8 h0 0.978 0.016 0.997 0.004 1.000 0.001 1.000 0.000
h10 0.997 0.006 1.000 0.001 1.000 0.000 1.000 0.000