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. Author manuscript; available in PMC: 2009 Sep 22.
Published in final edited form as: Biometrics. 2009 Feb 4;65(3):822–832. doi: 10.1111/j.1541-0420.2008.01176.x

Table 1.

Type I error rates obtained by the 3-moment approximation (3-M) with sample size n = 200, obtained by the resampling methods (Resamp) with n = 200, and obtained by the 3-moment approximation with n = 1000.

α = 0.05
α = 0.01
n = 200 n = 200 n = 1000 n = 200 n = 200 n = 1000
q avg R2 3-M Resamp 3-M 3-M Resamp 3-M
Binary Traits
0.1 0.2 0.042 0.046 0.046 0.012 0.010 0.009
0.3 0.035 0.039 0.041 0.010 0.009 0.011
0.4 0.022 0.024 0.050 0.006 0.006 0.014
0.6 0.040 0.046 0.043 0.011 0.010 0.010
0.3 0.2 0.028 0.032 0.052 0.008 0.008 0.011
0.3 0.032 0.038 0.043 0.009 0.008 0.013
0.5 0.043 0.047 0.051 0.008 0.008 0.007
0.7 0.047 0.050 0.049 0.010 0.010 0.008
Normal Traits
0.1 0.2 0.042 0.046 0.053 0.011 0.009 0.009
0.3 0.033 0.037 0.044 0.011 0.010 0.009
0.4 0.021 0.024 0.049 0.007 0.007 0.013
0.6 0.037 0.041 0.049 0.010 0.009 0.009
0.3 0.2 0.027 0.029 0.044 0.008 0.008 0.008
0.3 0.036 0.042 0.043 0.009 0.008 0.008
0.5 0.042 0.047 0.051 0.012 0.012 0.009
0.7 0.045 0.049 0.045 0.009 0.008 0.010