Table 2

Empirical Type I error rates and power of DeLIVR over 100 runs with both correlated and uncorrelated pleiotropy. Gene:NT5DC2; Tests: “nonlinear” refers to (2.8), “robust” refers to (2.12)

 Models DeLIVR
 No. of invalid IVs 0 1 2 3
Horizontal pleiotropyTests NonlinearRobust NonlinearRobust NonlinearRobust nonlinearrobust
Correlated and uncorrelatedNull 0.030.07 0.840.07 0.990.03 .96.05
Linear 0.010.03 0.08 0.09 -.06
Quadratic 0.740.52 0.60 0.47 -.34
Cubic 0.470.59 0.38 0.33 -.40
UncorrelatedNull 0.040.08 0.860.06 0.880.07 .98.07
Linear 0.020.06 0.01 0.06 -.02
Quadratic 0.800.57 0.62 0.51 -.27
Cubic 0.450.53 0.31 0.23 -.14
 Models DeLIVR
 No. of invalid IVs 0 1 2 3
Horizontal pleiotropyTests NonlinearRobust NonlinearRobust NonlinearRobust nonlinearrobust
Correlated and uncorrelatedNull 0.030.07 0.840.07 0.990.03 .96.05
Linear 0.010.03 0.08 0.09 -.06
Quadratic 0.740.52 0.60 0.47 -.34
Cubic 0.470.59 0.38 0.33 -.40
UncorrelatedNull 0.040.08 0.860.06 0.880.07 .98.07
Linear 0.020.06 0.01 0.06 -.02
Quadratic 0.800.57 0.62 0.51 -.27
Cubic 0.450.53 0.31 0.23 -.14
Table 2

Empirical Type I error rates and power of DeLIVR over 100 runs with both correlated and uncorrelated pleiotropy. Gene:NT5DC2; Tests: “nonlinear” refers to (2.8), “robust” refers to (2.12)

 Models DeLIVR
 No. of invalid IVs 0 1 2 3
Horizontal pleiotropyTests NonlinearRobust NonlinearRobust NonlinearRobust nonlinearrobust
Correlated and uncorrelatedNull 0.030.07 0.840.07 0.990.03 .96.05
Linear 0.010.03 0.08 0.09 -.06
Quadratic 0.740.52 0.60 0.47 -.34
Cubic 0.470.59 0.38 0.33 -.40
UncorrelatedNull 0.040.08 0.860.06 0.880.07 .98.07
Linear 0.020.06 0.01 0.06 -.02
Quadratic 0.800.57 0.62 0.51 -.27
Cubic 0.450.53 0.31 0.23 -.14
 Models DeLIVR
 No. of invalid IVs 0 1 2 3
Horizontal pleiotropyTests NonlinearRobust NonlinearRobust NonlinearRobust nonlinearrobust
Correlated and uncorrelatedNull 0.030.07 0.840.07 0.990.03 .96.05
Linear 0.010.03 0.08 0.09 -.06
Quadratic 0.740.52 0.60 0.47 -.34
Cubic 0.470.59 0.38 0.33 -.40
UncorrelatedNull 0.040.08 0.860.06 0.880.07 .98.07
Linear 0.020.06 0.01 0.06 -.02
Quadratic 0.800.57 0.62 0.51 -.27
Cubic 0.450.53 0.31 0.23 -.14
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