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