TABLE 2.
Additional simulations comparing performance (bias and coverage probability of 95% credible intervals) of AB-IW, AB-RIW and AB-EQ with respect to posterior mean of cLOR13, mLOR13 and p1 under MAR and MNAR using data generated with (μ1, μ2, μ3) = (μ2 + 0.5, μ2, μ2 − 0.5), (δ1, δ2, δ3) = (0.7, 0.4, 0.1), μ2 ∈ {−0.5, −1.5, −2.5} and correlation matrix Pchosen from low, high and mixed correlation scenarios. MCMC errors are at the 0.01 level.
| cLOR13: Bias (Coverage Probability) | mLOR13: Bias (Coverage Probability) | p1: Bias (Coverage Probability) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Scenario | μ2 | Correlation structure | Truth | AB-IW | AB-RW | AB-RIW | AB-EQ | Truth | AB-IW | AB-RW | AB-RIW | AB-EQ | Truth | AB-IW | AB-RW | AB-RIW | AB-EQ |
| MAR | |||||||||||||||||
| 1 | −0.50 | High | 1.00 | 0.302(0.883) | 0.175(0.945) | 0.117(0.957) | 0.036(0.967) | 1.00 | 0.263(0.913) | 0.170(0.948) | 0.119(0.959) | 0.048(0.968) | 0.50 | 0.059(0.847) | 0.033(0.948) | 0.023(0.954) | 0.011(0.967) |
| 2 | −0.50 | Low | 1.00 | 0.090(0.979) | 0.058(0.981) | 0.045(0.978) | −0.063(0.978) | 1.00 | 0.061(0.983) | 0.053(0.980) | 0.042(0.977) | −0.045(0.977) | 0.50 | 0.017(0.961) | 0.011(0.976) | 0.009(0.971) | −0.009(0.976) |
| 3 | −0.50 | Mixed | 1.00 | 0.280(0.896) | 0.152(0.946) | 0.103(0.962) | 0.042(0.961) | 1.00 | 0.241(0.920) | 0.147(0.945) | 0.105(0.958) | 0.049(0.961) | 0.50 | 0.057(0.852) | 0.031(0.949) | 0.022(0.955) | 0.016(0.953) |
| 4 | −1.50 | High | 1.00 | 0.291(0.895) | 0.159(0.953) | 0.099(0.965) | 0.017(0.971) | 1.07 | 0.218(0.939) | 0.170(0.954) | 0.126(0.962) | 0.053(0.972) | 0.28 | 0.051(0.858) | 0.034(0.951) | 0.027(0.962) | 0.018(0.966) |
| 5 | −1.50 | Low | 1.00 | 0.093(0.982) | 0.051(0.979) | 0.035(0.977) | −0.069(0.977) | 1.07 | 0.043(0.990) | 0.087(0.980) | 0.081(0.977) | −0.011(0.976) | 0.28 | 0.020(0.965) | 0.024(0.977) | 0.024(0.977) | 0.007(0.979) |
| 6 | −1.50 | Mixed | 1.00 | 0.280(0.903) | 0.151(0.947) | 0.097(0.961) | 0.026(0.968) | 1.07 | 0.207(0.946) | 0.160(0.950) | 0.121(0.960) | 0.055(0.966) | 0.28 | 0.052(0.856) | 0.036(0.946) | 0.029(0.955) | 0.023(0.959) |
| 7 | −2.50 | High | 1.00 | 0.304(0.913) | 0.181(0.946) | 0.124(0.965) | 0.031(0.973) | 1.14 | 0.186(0.963) | 0.195(0.949) | 0.160(0.962) | 0.074(0.981) | 0.14 | 0.031(0.860) | 0.027(0.933) | 0.024(0.944) | 0.018(0.955) |
| 8 | −2.50 | Low | 1.00 | 0.108(0.985) | 0.059(0.983) | 0.043(0.980) | −0.075(0.978) | 1.14 | 0.026(0.995) | 0.124(0.981) | 0.123(0.975) | 0.017(0.980) | 0.14 | 0.015(0.969) | 0.024(0.971) | 0.025(0.968) | 0.012(0.980) |
| 9 | −2.50 | Mixed | 1.00 | 0.289(0.919) | 0.168(0.956) | 0.115(0.966) | 0.027(0.971) | 1.14 | 0.172(0.977) | 0.183(0.954) | 0.151(0.966) | 0.066(0.981) | 0.14 | 0.031(0.870) | 0.027(0.935) | 0.024(0.948) | 0.020(0.951) |
| MNAR | |||||||||||||||||
| 1 | −0.50 | High | 1.00 | −0.252(0.914) | −0.208(0.905) | −0.189(0.913) | −0.153(0.926) | 1.00 | −0.261(0.897) | −0.197(0.903) | −0.179(0.909) | −0.148(0.922) | 0.50 | −0.052(0.853) | −0.041(0.907) | −0.038(0.914) | −0.033(0.920) |
| 2 | −0.50 | Low | 1.00 | −0.250(0.897) | −0.250(0.884) | −0.248(0.889) | −0.227(0.895) | 1.00 | −0.256(0.880) | −0.228(0.880) | −0.226(0.885) | −0.209(0.891) | 0.50 | −0.054(0.836) | −0.051(0.876) | −0.051(0.879) | −0.047(0.890) |
| 3 | −0.50 | Mixed | 1.00 | −0.222(0.942) | −0.178(0.923) | −0.164(0.930) | −0.141(0.933) | 1.00 | −0.231(0.927) | −0.168(0.922) | −0.155(0.928) | −0.136(0.932) | 0.50 | −0.049(0.862) | −0.038(0.915) | −0.036(0.917) | −0.034(0.920) |
| 4 | −1.50 | High | 1.00 | −0.244(0.917) | −0.207(0.905) | −0.188(0.906) | −0.155(0.925) | 1.07 | −0.285(0.870) | −0.185(0.910) | −0.165(0.913) | −0.137(0.925) | 0.28 | −0.037(0.860) | −0.025(0.916) | −0.022(0.916) | −0.019(0.921) |
| 5 | −1.50 | Low | 1.00 | −0.239(0.904) | −0.243(0.896) | −0.241(0.894) | −0.223(0.902) | 1.07 | −0.274(0.871) | −0.198(0.906) | −0.195(0.897) | −0.182(0.912) | 0.28 | −0.037(0.846) | −0.029(0.912) | −0.028(0.914) | −0.027(0.923) |
| 6 | −1.50 | Mixed | 1.00 | −0.204(0.937) | −0.170(0.923) | −0.154(0.932) | −0.130(0.937) | 1.07 | −0.247(0.903) | −0.148(0.921) | −0.132(0.934) | −0.111(0.936) | 0.28 | −0.033(0.885) | −0.021(0.928) | −0.018(0.934) | −0.017(0.930) |
| 7 | −2.50 | High | 1.00 | −0.253(0.926) | −0.234(0.916) | −0.214(0.923) | −0.177(0.929) | 1.14 | −0.336(0.860) | −0.205(0.925) | −0.183(0.924) | −0.152(0.941) | 0.14 | −0.021(0.875) | −0.012(0.932) | −0.009(0.938) | −0.008(0.940) |
| 8 | −2.50 | Low | 1.00 | −0.236(0.910) | −0.252(0.907) | −0.252(0.901) | −0.233(0.908) | 1.14 | −0.311(0.855) | −0.193(0.932) | −0.189(0.933) | −0.178(0.938) | 0.14 | −0.020(0.855) | −0.011(0.936) | −0.011(0.929) | −0.010(0.939) |
| 9 | −2.50 | Mixed | 1.00 | −0.229(0.936) | −0.210(0.930) | −0.193(0.936) | −0.162(0.943) | 1.14 | −0.310(0.882) | −0.179(0.933) | −0.160(0.943) | −0.135(0.950) | 0.14 | −0.020(0.873) | −0.010(0.937) | −0.008(0.935) | −0.008(0.941) |