Table 1.

Population and final sample values for artificially simulated data.

Parameter	Population Value	Unstd Coeff	SE	Std Coeff	p
μyα	3.00	2.64*	.28	1.31	<.001
μyβ	.45	.46*	.13	.44	.001
μzα	2.00	1.99*	.15	1.56	<.001
ψyαyα	3.60	3.71*	.71	.91	<.001
ψyβyβ	.85	.95*	.14	.87	<.001
ψzαzα	.80	.97*	.18	.60	<.001
ψyβyα	−.65	−.53*	.23	−.28	.024
ψzαyα	.25	.45	.27	.24	.090
ψzαyβ	.15	.05	.10	.06	.603
${\sigma }_{{\nu }_{y1}}^2$	3.80	3.29*	.67	1.00	<.001
${\sigma }_{{\nu }_{y2}}^2$	4.40	4.52*	.50	.90	<.001
${\sigma }_{{\nu }_{y3}}^2$	5.00	4.91*	.57	.89	<.001
${\sigma }_{{\nu }_{y4}}^2$	5.80	5.14*	.71	.90	<.001
${\sigma }_{{\nu }_{y5}}^2$	7.00	7.33*	1.05	.90	<.001
${\sigma }_{{\nu }_{z1}}^2$	3.00	2.45*	.28	1.00	<.001
${\sigma }_{{\nu }_{z2}}^2$	3.00	2.79*	.29	.99	<.001
${\sigma }_{{\nu }_{z3}}^2$	3.00	2.18*	.23	.89	<.001
${\sigma }_{{\nu }_{z4}}^2$	3.00	3.05*	.31	.82	<.001
${\sigma }_{{\nu }_{z5}}^2$	3.00	3.11*	.34	.71	<.001
σνzy	1.05	.50	.31	.18	.108
σνzy1	1.05	.81*	.16	.17 to .25†	<.001
ρyy	.06	.06	.07	.05 to .06†	.331
ρzz	.01	.02	.04	.02 to .03†	.595
ρyz	.50	.44	.06	.29 to .32†	<.001
ρzy	.30	.11	.07	.11	.106
κzy	.05	.12*	.03	N/A	<.001
γyα1	1.55	1.19*	.31	.59	<.001
γyβ1	.52	.65*	.15	.63	<.001
γzα1	−1.35	−1.57*	.17	−1.23	<.001
γyα2	.05	.32	.32	.16	.311
γyβ2	−.46	−.36*	.15	−.35	.015
γzα2	−.60	−.41*	.17	−.32	.013

Note. Unstd Coeff = Unstandardized Coefficient. SE = Standard Error. Std Coeff = Standardized Coefficient; standardized coefficients for binary covariates are partially standardized. N/A = Parameter not available as a standardized estimate.

^†Standardized values for parameters constrained to equality are not computed as a single common estimate.

^*p<.05