Table 1.

Parameter estimation for the bivariate MESSM model with 50 replicates, m = 20 and n = 20.

	θ̂1		θ̂2		${\widehat{\sigma }}_D^2$		${\widehat{\sigma }}_Q^2$		R̂
	B	EM	B	EM	B	EM	B	EM	B	EM
Mean	0.305	0.293	0.594	0.606	0.009	0.006	1.357	1.122	1.04	1.164
Bias	0.005	−0.007	−0.006	0.006	0.0026	−0.0004	−0.083	−0.318	0.04	0.164
MSE	0.0014	0.0012	0.0018	0.0014	7 × 10−6	3 × 10−6	0.142	0.345	0.09	0.215
RE	0.125	0.115	0.071	0.062	0.413	0.271	0.262	0.401	0.300	0.463