Odds Ratios
    0.5 1.0 1.5 2.0 2.5 3.0
  Significance Cutoff Power
(95% CI)
Type I Error
(95% CI)
Power
(95% CI)
Power
(95% CI)
Power
(95% CI)
Power
(95% CI)
Pearson Chi-Square Test              
Theoretical Power 0.05 0.731 (0.704,0.758) 0.050
(0.036,0.064)
0.521 (0.490,0.552) 0.953 (0.940,0.966) 0.999 (0.997,>0.999) >0.999 (0.997,>0.999)
Observed Power 0.05 0.765 (0.739,0.791) 0.036
(0.024,0.048)
0.513 (0.482,0.544) 0.928 (0.912,0.944) 0.996 (0.992,>0.999) >0.999 (0.997,>0.999)
ACST 0.0125 0.252 (0.225,0.279) 0.061
(0.046,0.076)
0.161 (0.138,0.184) 0.459 (0.428,0.490) 0.763 (0.737,0.789) 0.918 (0.901,0.935)
CPT 0.025 0.239 (0.213,0.265) 0.047
(0.034,0.060)
0.149 (0.127,0.171) 0.447 (0.416,0.478) 0.764 (0.738,0.790) 0.923 (0.906,0.940)
FSPT              
Span = 0.1 0.05 0.163 (0.140,0.186) 0.046
(0.033,0.059)
0.113 (0.093,0.133) 0.309 (0.280,0.338) 0.617 (0.587,0.647) 0.837 (0.814,0.860)
Span = 0.3 0.05 0.234 (0.208,0.260) 0.043
(0.030,0.056)
0.150 (0.128,0.172) 0.415 (0.384,0.446) 0.755 (0.728,0.782) 0.917 (0.900,0.934)
Span = 0.5 0.05 0.226 (0.200,0.252) 0.045
(0.032,0.058)
0.157 (0.134,0.180) 0.450 (0.419,0.481) 0.785 (0.76,0.810) 0.935 (0.920,0.950)
Span = 0.7 0.05 0.223 (0.197,0.249) 0.042
(0.030,0.054)
0.153 (0.131,0.175) 0.453 (0.422,0.484) 0.787 (0.762,0.812) 0.923 (0.906,0.940)
Span = 0.9 0.05 0.208 (0.183,0.233) 0.047
(0.034,0.060)
0.140 (0.118,0.162) 0.442 (0.411,0.473) 0.773 (0.747,0.799) 0.914 (0.897,0.931)
FMSPT              
0.1, 0.3, 0.5, 0.7, 0.9 0.01 0.152 (0.130,0.174) 0.020
(0.011,0.029)
0.094 (0.076,0.112) 0.330 (0.301,0.359) 0.673 (0.644,0.702) 0.880 (0.860,0.900)
0.1, 0.5, 0.9 0.0167 0.166 (0.143,0.189) 0.027
(0.017,0.037)
0.111 (0.092,0.130) 0.378 (0.348,0.408) 0.697 (0.669,0.725) 0.89 (0.871,0.909)
UPT 0.05 0.088 (0.070,0.106) 0.045
(0.032,0.058)
0.094 (0.076,0.112) 0.263 (0.236,0.290) 0.545 (0.514,0.576) 0.789 (0.764,0.814)
Table 2: Scenario 1 Observed Power Estimates