Table 5 Results of Monte Carlo simulation for power test of Model 3B (Replications = 4000).

	DV: STEM
IVs:	Population Parameter Estimates	Averaged Parameter Estimates	Parameter Estimate Bias %	Averaged Standard Deviation	Averaged Standard Error	Standard Error Bias %	95% Coverage	Power (\(\hat{P}\))
Inp_EdExp	0.0350	0.0350	0	0.0006	0.0006	0	0.9630	1.0000
Slp_EdExp	0.0830	0.0843	1.5421	0.0074	0.0073	1.3698	0.9580	1.0000
Inp_ScPef	0.0040	0.0040	0	0.0001	0.0000	0.0100	0.9450	1.0000
Slp_ScPef	0.0040	0.0040	0	0.0002	0.0002	0	0.9590	1.0000

	DV: Slp_ScPef
IVs:	Population Parameter Estimates	Averaged Parameter Estimates	Parameter Estimate Bias %	Averaged Standard Deviation	Averaged Standard Error	Standard Error Bias %	95% Coverage	Power (\(\hat{P}\))
Inp_EdExp	0.3770	0.3771	−0.0265	0.0643	0.0651	−1.2288	0.9470	1.0000
Slp_EdExp	1.3740	1.4008	1.9131	0.4025	0.4063	−0.9352	0.9600	0.9520
Inp_ScPef	−0.0510	−0.0506	0.7905	0.0094	0.0092	2.1739	0.9420	1.0000

	DV: Inp_ScPef
IVs:	Population Parameter Estimates	Averaged Parameter Estimates	Parameter Estimate Bias %	Averaged Standard Deviation	Averaged Standard Error	Standard Error Bias %	95% Coverage	Power (\(\hat{P}\))
Inp_EdExp	2.9600	2.9608	−0.02701	0.1591	0.1585	0.3785	0.9520	1.0000

	DV: Slp_EdExp
IVs:	Population Parameter Estimates	Averaged Parameter Estimates	Parameter Estimate Bias %	Averaged Standard Deviation	Averaged Standard Error	Standard Error Bias %	95% Coverage	Power (\(\hat{P}\))
Inp_EdExp	−0.0470	−0.0465	1.0752	0.0143	0.0138	3.6231	0.9420	0.897

Note. The input of parameter estimates in Monte Carlo power test is unstandardized coefficients, which are needed for simulations. DV Dependent Variable, IVs Independent Variables, Inp_EdExp Intercept Factor of Youths’ Educational Expectations, Inp_ScPef Intercept Factor of Youths’ Science Performance, Slp_EdExp Slope Factor of Youths’ Educational Expectations, Slp_ScPef Slope Factor of Youths’ Science Performance. Average model fit across 4000 replications: CFI = 1.000, RMSEA = 0.004, SRMR = 0.004.

Search