Table III.
Model | Coefficient | Method | ||||
---|---|---|---|---|---|---|
Completec | MLc | RCc | Naïve MIc | |||
1 | β1 | Bias | 0.013(0.006) | 0.24(0.04) | 0.08(0.05) | −0.948(0.003) |
1 | β1 | SD | 0.184(0.003) | 1.37(0.02) | 1.43(0.02) | 0.085(0.001) |
1 | β2 | Bias | 0.012(0.004) | 0.09(0.03) | −0.06(0.02) | −0.321(0.002) |
1 | β2 | SD | 0.119(0.002) | 0.91(0.01) | 0.69(0.01) | 0.07(0.001) |
1 | β3 | Bias | 0.006(0.005) | 0.08(0.03) | −0.16(0.03) | 0.552(0.006) |
1 | β3 | SD | 0.162(0.003) | 0.82(0.01) | 1(0.02) | 0.181(0.003) |
2 | β1 | Bias | 0.006(0.006) | 0.15(0.05) | −0.16(0.07) | −0.91(0.003) |
2 | β1 | SD | 0.181(0.003) | 1.51(0.02) | 2.25(0.04) | 0.087(0.001) |
2 | β2 | Bias | 0.008(0.005) | 0.15(0.05) | −0.07(0.07) | −0.296(0.003) |
2 | β2 | SD | 0.164(0.003) | 1.56(0.02) | 2.16(0.03) | 0.085(0.001) |
2 | β3 | Bias | 0.013(0.004) | 0.12(0.01) | −0.07(0.02) | 0.072(0.005) |
2 | β3 | SD | 0.123(0.002) | 0.37(0.01) | 0.52(0.01) | 0.153(0.002) |
3 | β1 | Bias | 0.015(0.006) | 0.13(0.02) | −0.02(0.01) | −0.667(0.005) |
3 | β1 | SD | 0.187(0.003) | 0.6(0.01) | 0.45(0.01) | 0.145(0.002) |
3 | β2 | Bias | 0.008(0.004) | 0.01(0.01) | −0.03(0.01) | −0.146(0.004) |
3 | β2 | SD | 0.121(0.002) | 0.3(0.005) | 0.26(0.004) | 0.117(0.002) |
3 | β3 | Bias | 0.007(0.005) | −0.02(0.01) | −0.04(0.01) | 0.381(0.006) |
3 | β3 | SD | 0.164(0.003) | 0.37(0.01) | 0.34(0.01) | 0.193(0.003) |
4 | β1 | Bias | 0.012(0.006) | 0.12(0.02) | −0.06(0.02) | −0.571(0.004) |
4 | β1 | SD | 0.185(0.003) | 0.69(0.01) | 0.5(0.01) | 0.14(0.002) |
4 | β2 | Bias | 0.004(0.005) | 0(0.02) | −0.04(0.02) | −0.058(0.004) |
4 | β2 | SD | 0.162(0.003) | 0.58(0.01) | 0.48(0.01) | 0.135(0.002) |
4 | β3 | Bias | 0.008(0.004) | 0.01(0.01) | −0.04(0.01) | 0.035(0.005) |
4 | β3 | SD | 0.12(0.002) | 0.22(0.004) | 0.19(0.003) | 0.157(0.002) |
5 | β1 | Bias | 0.055(0.01) | −1.36(0.04) | −1.22(0.23) | −2.861(0.003) |
5 | β1 | SD | 0.33(0.005) | 1.32(0.02) | 7.28(0.12) | 0.098(0.002) |
5 | β2 | Bias | −0.002(0.006) | 0.68(0.05) | −0.4(0.19) | −0.268(0.003) |
5 | β2 | SD | 0.204(0.003) | 1.65(0.03) | 6.11(0.1) | 0.094(0.001) |
5 | β3 | Bias | 0.008(0.005) | 0.18(0.01) | −0.25(0.05) | 0.045(0.005) |
5 | β3 | SD | 0.152(0.002) | 0.43(0.01) | 1.53(0.02) | 0.147(0.002) |
1000 datasets of size n = 500 each were generated
SE: standard error of Bias and Standard Deviation (SD)
Complete: Complete Data with X and Y observed on all subjects; ML: Maximum likelihood; RC: Regression calibration; MI: Multiple imputation