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. 2017 Sep 27;47(1):226–235. doi: 10.1093/ije/dyx206

Table 2.

Results of simulation study showing the selection bias in estimating an association that is not null in the intended study population (regression coefficient for outcome on phenotype is 0.1)

Simulation settings
Results—association between allele score and outcome
Association between missingness and both phenotype and outcome (OR) Association between allele score and phenotype (r) Mean regression coefficient (SD) True regression coefficient Number of 95% CIs containing true value
OR = 1.8 0.05 0.003 (0.001) 0.005 78
(0.25% variance)
0.10 0.006 (0.001) 0.01 23
(1.00% variance)
0.15 0.010 (0.001) 0.015 2
(2.25% variance)
0.20 0.013 (0.001) 0.02 0
(4.00% variance)
0.30 0.020 (0.001) 0.03 0
(9.00% variance)
OR = 1.5 0.05 0.004 (0.001) 0.005 94
(0.25% variance)
0.10 0.009 (0.001) 0.01 86
(1.00% variance)
0.15 0.013 (0.001) 0.015 69
(2.25% variance)
0.20 0.017 (0.001) 0.02 53
(4.00% variance)
0.30 0.026 (0.001) 0.03 19
(9.00% variance)
OR = 1.2 0.05 0.005 (0.001) 0.005 98
(0.25% variance)
0.10 0.01 (0.001) 0.01 96
(1.00% variance)
0.15 0.014 (0.001) 0.015 94
(2.25% variance)
0.20 0.019 (0.001) 0.02 92
(4.00% variance)
0.30 0.029 (0.001) 0.03 95
(9.00% variance)

Each scenario was simulated 100 times.