Bayesian Adaptive Lasso for Regression Models with Nonignorable Missing Responses

Table 1

Bayesian estimates for case i in the first simulation study.

Parameter	True	Mean	Median	5%	95%	SD	RMSE
(i) Empirical Bayesian scenario
	3.0	2.997	2.991	2.787	3.147	0.104	0.104
	1.5	1.476	1.473	1.282	1.644	0.113	0.112
	0.0	0.010	0.001	−0.112	0.130	0.067	0.067
	0.0	0.001	−0.000	−0.090	0.097	0.062	0.062
	2.0	1.992	1.981	1.836	2.180	0.111	0.111
	0.0	0.007	0.000	−0.111	0.093	0.069	0.069
	0.0	0.001	−0.000	−0.106	0.010	0.063	0.062
	0.0	−0.007	0.000	−0.134	0.045	0.050	0.050
	1.0	0.999	0.998	0.887	1.089	0.064	0.063
	−1.0	−1.091	−1.102	−1.348	−0.826	0.169	0.191
	0.3	0.368	0.353	0.113	0.631	0.161	0.174
	0.3	0.265	0.244	−0.520	0.958	0.456	0.456
	0.3	0.337	0.327	−0.329	0.922	0.361	0.361
	0.3	0.362	0.377	−0.122	0.768	0.274	0.280
	0.3	0.329	0.294	−0.193	0.811	0.302	0.302
	0.3	0.317	0.269	−0.256	0.833	0.338	0.338
	0.3	0.362	0.373	−0.252	0.901	0.305	0.310
	0.3	0.340	0.316	−0.167	0.803	0.294	0.295
	0.3	0.345	0.342	−0.098	0.749	0.272	0.274
(ii) Hierarchical model scenario
	3.0	3.005	2.987	2.829	3.149	0.111	0.110
	1.5	1.500	1.511	1.319	1.646	0.113	0.113
	0.0	0.007	0.001	−0.059	0.066	0.047	0.048
	0.0	−0.004	0.001	−0.119	0.067	0.069	0.069
	2.0	2.003	1.996	1.834	2.157	0.010	0.099
	0.0	−0.005	−0.002	−0.075	0.058	0.041	0.041
	0.0	−0.003	−0.004	−0.077	0.061	0.040	0.039
	0.0	−0.003	−0.003	−0.049	0.039	0.032	0.032
	1.0	1.019	1.020	0.908	1.108	0.063	0.066
	−1.0	−1.091	−1.102	−1.358	−0.853	0.161	0.184
	0.3	0.357	0.357	0.053	0.610	0.159	0.168
	0.3	0.288	0.257	−0.630	0.946	0.458	0.456
	0.3	0.281	0.266	−0.224	0.917	0.347	0.346
	0.3	0.384	0.360	−0.184	0.851	0.306	0.316
	0.3	0.360	0.337	−0.212	0.780	0.296	0.301
	0.3	0.299	0.348	−0.363	0.777	0.332	0.330
	0.3	0.328	0.308	−0.205	0.782	0.286	0.286
	0.3	0.384	0.417	−0.126	0.799	0.284	0.295
	0.3	0.299	0.311	−0.087	0.644	0.224	0.223