Chunk #34 — Results
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- Mendelian randomization with invalid instruments: effect estimation and bias detection through Egger regression.
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= 0.05) causal effect. All tests are performed at 5% significance levelInverse-variance weightedMR-Egger regressionMean FMean estimatePower to detectMean estimatePower ofPower to detectNstatistic(mean SE)causal effect(mean SE)MR-Egger testcausal effectNo causal effect: β = 0Scenario (a) no pleiotropy, InSIDE satisfied25010.40.000 (0.022)0.0550.000 (0.047)0.0520.05250019.80.000 (0.015)0.0500.000 (0.035)0.0490.04875029.20.000 (0.013)0.0480.000 (0.030)0.0510.050100038.60.000 (0.011)0.0490.000 (0.026)0.0480.050Scenario (b) balanced pleiotropy, InSIDE satisfied25010.40.000 (0.024)0.0520.001 (0.051)0.0470.05050019.80.000 (0.018)0.0520.000 (0.042)0.0510.05075029.20.000 (0.016)0.0480.000 (0.037)0.0530.049100038.60.000 (0.015)0.0520.000 (0.034)0.0470.047Scenario (c) directional pleiotropy, InSIDE satisfied25010.40.034 (0.023)0.2930.010 (0.049)0.0890.05550019.90.036 (0.017)0.5300.005 (0.037)0.1420.05575029.20.036 (0.014)0.6890.004 (0.032)0.1950.054100038.70.037 (0.013)0.7920.002 (0.029)0.2490.054Scenario (d) directional pleiotropy, InSIDE violated25010.60.115 (0.026)0.9890.037 (0.057)0.3300.11050020.20.119 (0.021)1.0000.026 (0.047)0.5450.09975029.70.120 (0.019)1.0000.022 (0.043)0.6510.088100039.20.122 (0.018)1.0000.021 (0.041)0.7270.086Positive causal effect: β = 0.05Scenario (a) no pleiotropy, InSIDE satisfied25010.40.046 (0.022)0.4980.039 (0.049)0.0560.12150019.80.048 (0.016)0.8080.042 (0.037)0.0540.19075029.20.049 (0.013)0.9290.044 (0.031)0.0550.274100038.60.049 (0.012)0.9770.045 (0.027)0.0530.347Scenario (b) balanced pleiotropy, InSIDE satisfied25010.40.046 (0.024)0.4390.039 (0.053)0.0510.10950019.80.048 (0.019)0.6750.042 (0.043)0.0540.15575029.20.049 (0.016)0.8100.044 (0.038)0.0550.199100038.60.049 (0.015)0.8810.045 (0.035)0.0500.234Scenario (c) directional pleiotropy, InSIDE satisfied25010.40.080 (0.024)0.8900.048 (0.051)0.1100.14850019.90.084 (0.018)0.9950.047 (0.039)0.1740.21575029.20.085 (0.015)1.0000.048 (0.034)0.2270.276100038.70.085 (0.013)1.0000.047 (0.030)0.2780.321Scenario (d) directional pleiotropy, InSIDE violated25010.60.161 (0.029)1.0000.074 (0.061)0.3590.22650020.20.167 (0.023)1.0000.066 (0.050)0.5620.26175029.70.169 (0.020)1.0000.065 (0.045)0.6610.290100039.20.171 (0.019)1.0000.065 (0.042)0.7310.316SE, standard error.
