Table 3. Simulation results for the analysis of clustered data using simulation scenario (iii),i.e., scenario with data missing in the covariate only.

Regression Parameters	True value	Available data	JM-MLMM	JM-FJ	JM-FJ-het	JM-SMC	JM-SMC-het	FCS LMM	FCS-LMM-het
SEIFA, $\widehat{{\gamma }_1}$	0.250	0.192	0.247	0.250	0.192	0.250	0.250	0.247	0.249
$\widehat{{\gamma }_1}$ rbias (%)		0.232	0.011	<0.001	0.232	0.001	0.001	0.011	0.004
Model SE		0.028	0.029	0.029	0.028	0.029	0.029	0.029	0.029
Empirical SE		0.028	0.028	0.028	0.028	0.028	0.028	0.028	0.028
95% Coverage		0.444	0.954	0.950	0.450	0.947	0.949	0.954	0.950
cbmi, $\widehat{{\gamma }_2}$	-0.200	-0.177	-0.196	-0.205	-0.177	-0.200	-0.200	-0.196	-0.198
$\widehat{{\gamma }_2}$ rbias (%)		0.115	0.019	0.027	0.001	0.001	0.001	0.020	0.009
Model SE		0.020	0.023	0.021	0.021	0.023	0.023	0.023	0.023
Empirical SE		0.021	0.023	0.024	0.021	0.024	0.024	0.023	0.023
95% Coverage		0.793	0.958	0.913	0.796	0.946	0.947	0.953	0.945
Variance components
G00 est	0.40	0.346	0.396	0.404	0.348	0.399	0.399	0.396	0.397
G00rbias (%)		0.136	0.011	0.010	0.115	0.002	0.002	0.011	0.007
G11 est	0.20	0.175	0.197	0.135	0.176	0.192	0.192	0.197	0.185
G11 rbias(%)		0.123	0.014	0.325	0.232	0.039	0.038	0.016	0.074
Residual error, ${\hat{\sigma }}_e$	0.90	0.847	0.900	0.911	0.847	0.901	0.901	0.900	0.903
${\hat{\sigma }}_e$ rbias (%)		0.058	<0.001	0.012	0.058	0.001	0.001	0.001	0.003