Bayesian Adaptive Lasso for Regression Models with Nonignorable Missing Responses

Table 2

Bayesian estimates for case ii in the first simulation study.

Parameter	True	Mean	Median	5%	95%	SD	RMSE
(i) Empirical Bayesian scenario
	1.0	1.014	1.023	0.815	1.163	0.099	0.100
	1.0	0.994	0.997	0.783	1.185	0.129	0.128
	1.0	0.983	0.974	0.788	1.157	0.109	0.110
	1.0	1.015	1.020	0.819	1.180	0.115	0.116
	1.0	1.004	1.013	0.836	1.156	0.105	0.105
	1.0	0.992	0.986	0.788	1.164	0.114	0.113
	1.0	0.991	0.979	0.811	1.175	0.116	0.115
	1.0	0.989	0.983	0.829	1.125	0.096	0.096
	1.0	1.010	1.006	0.915	1.131	0.065	0.065
	−1.0	−1.092	−1.083	−1.395	−0.841	0.172	0.195
	0.3	0.351	0.345	−0.045	0.692	0.227	0.231
	0.3	0.317	0.304	−0.163	0.765	0.317	0.316
	0.3	0.331	0.278	−0.185	0.919	0.334	0.334
	0.3	0.371	0.365	−0.173	0.892	0.338	0.344
	0.3	0.310	0.286	−0.375	0.996	0.388	0.387
	0.3	0.332	0.302	−0.220	0.831	0.338	0.338
	0.3	0.316	0.309	−0.250	0.869	0.362	0.361
	0.3	0.363	0.329	−0.310	0.904	0.394	0.397
	0.3	0.318	0.286	−0.209	0.747	0.327	0.326
(ii) Hierarchical model scenario
	1.0	0.999	1.000	0.816	1.163	0.112	0.112
	1.0	0.979	0.963	0.798	1.192	0.124	0.125
	1.0	1.017	0.999	0.842	1.224	0.125	0.125
	1.0	1.001	0.982	0.786	1.224	0.129	0.128
	1.0	0.987	1.004	0.767	1.143	0.122	0.122
	1.0	0.990	0.973	0.761	1.237	0.139	0.139
	1.0	0.993	0.991	0.814	1.165	0.114	0.114
	1.0	0.996	1.002	0.807	1.165	0.111	0.110
	1.0	1.019	1.021	0.915	1.129	0.067	0.069
	−1.0	−1.087	−1.094	−1.356	−0.843	0.167	0.188
	0.3	0.375	0.343	0.051	0.712	0.209	0.221
	0.3	0.361	0.389	−0.168	0.739	0.295	0.300
	0.3	0.325	0.340	−0482	0.849	0.387	0.386
	0.3	0.325	0.360	−0.287	0.788	0.332	0.332
	0.3	0.323	0.334	−0.304	0.903	0.386	0.385
	0.3	0.292	0.279	−0.342	0.847	0.360	0.359
	0.3	0.295	0.282	−0.277	0.903	0.349	0.347
	0.3	0.340	0.356	−0.256	0.854	0.352	0.353
	0.3	0.311	0.302	−0.240	0.780	0.306	0.304