Table 1.

GEE and ZIB-ES estimates of parameters, empirical standard error (Emp. SE), and asymptotical standard errors (Asym. SE) under complete data from 1000 MC simulations.

m	Sample Size	Parameter	GEE Est.	ZIB-ES Est.
			Mean(Emp., Asym.)	Mean(Emp., Asym.)
7	50	βu	−1.244 (0.354, 0.350)	−1.245 (0.355, 0.366)
		βυ0	−0.103 (0.129, 0.131)	−0.104 (0.129, 0.128)
		βυ1	−0.302 (0.101, 0.101)	−0.303 (0.102, 0.099)
	200	βu	−1.210 (0.177, 0.175)	−1.210 (0.175, 0.177)
		βυ0	−0.101 (0.065, 0.063)	−0.101 (0.063, 0.064)
		βυ1	−0.300 (0.050, 0.050)	−0.301 (0.051, 0.049)
	1000	βu	−1.200 (0.079, 0.079)	−1.200 (0.079, 0.079)
		βυ0	−0.099 (0.027, 0.029)	−0.099 (0.027, 0.029)
		βυ1	−0.301 (0.022, 0.022)	−0.301 (0.022, 0.022)
15	50	βu	−1.235 (0.335, 0.335)	−1.235 (0.335, 0.344)
		βυ0	−0.101 (0.082, 0.085)	−0.101 (0.082, 0.083)
		βυ1	−0.301 (0.066, 0.063)	−0.301 (0.063, 0.061)
	200	βu	−1.208 (0.167, 0.168)	−1.208 (0.167, 0.169)
		βυ0	−0.100 (0.042, 0.042)	−0.100 (0.042, 0.042)
		βυ1	−0.300 (0.031, 0.032)	−0.300 (0.032, 0.031)
	1000	βu	−1.201 (0.076, 0.075)	−1.201 (0.076, 0.075)
		βυ0	−0.099 (0.019, 0.019)	−0.099 (0.019, 0.019)
		βυ1	−0.301 (0.014, 0.014)	−0.301 (0.014, 0.014)
30	50	βu	−1.234 (0.334, 0.334)	−1.234 (0.334, 0.343)
		βυ0	−0.101 (0.058, 0.061)	−0.101 (0.058, 0.058)
		βυ1	−0.300 (0.044, 0.045)	−0.300 (0.044, 0.43)
	200	βu	−1.208 (0.167, 0.167)	−1.208 (0.167, 0.169)
		βυ0	−0.100 (0.030, 0.030)	−0.100 (0.030, 0.030)
		βυ1	−0.300 (0.022, 0.022)	−0.300 (0.022, 0.022)
	1000	βu	−1.201 (0.076, 0.075)	−1.201 (0.076, 0.075)
		βυ0	−0.099 (0.013, 0.013)	−0.099 (0.013, 0.013)
		βυ1	−0.301 (0.010, 0.010)	−0.301 (0.010, 0.010)

Simulation summary for GEE and ZIB-ES under complete data λ = 0.001, β_u = −1.2, β_υ0 = −0.1, β_υ1 = −0.3