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. Author manuscript; available in PMC: 2020 Jan 1.
Published in final edited form as: Multivariate Behav Res. 2018 Sep 17;54(1):31–46. doi: 10.1080/00273171.2018.1483224

Table 5.

Comparison of MIIV-2SLS Factor Loading Estimates and Sargan Overidentification Tests for True and Misspecified Measurement Models

Measurement Equation Correct Two Factor Model Incorrect One Factor Model
Indicator Factor Loadings Sargan Test Statistic (df=3) Factor Loadings Sargan Test Statistic (df=3)
Z1 1.000 ----- 1.000 -----
Z2 1.034* 0.555 1.034* 0.555
Z3 0.964* 1.048 0.964* 1.048
Z4 1.000 ----- 0.363* 246.7*
Z5 1.043* 0.247 0.359* 264.0*
Z6 1.144* 0.858 0.405* 273.8*

Note:

*

= p<0.001