# Introduction to Structural Equation Modeling with Latent Variables

### Fit Summary of the LISMOD Model for Career Aspiration Analysis 3

Figure 17.54 shows the fit summary of the LISMOD model. All these fit index values match those from using the PATH model specification of the same model, as shown in Figure 17.48. Therefore, you are confident that the current LISMOD model specification is equivalent to the PATH model specification shown in the section Career Aspiration: Analysis 3.

Figure 17.54: Career Aspiration Analysis 3: Fit Summary of the LISMOD Model

Fit Summary
Chi-Square 12.0132
Chi-Square DF 13
Pr > Chi-Square 0.5266
Standardized RMR (SRMR) 0.0149
RMSEA Estimate 0.0000
Akaike Information Criterion 96.0132
Schwarz Bayesian Criterion 255.4476
Bentler Comparative Fit Index 1.0000

Estimation results are shown in Figure 17.55, Figure 17.56, and Figure 17.57, respectively for the measurement model for y, measurement model for x, and the structural model. These are the same estimation results as those from the equivalent PATH model specification in Figure 17.49. However, estimates in the LISMOD model are now arranged in the matrix form, with standard error estimates and t values shown.

Figure 17.55: Career Aspiration Analysis 3: Estimation of Measurement Model for y

_LAMBDAY_ Matrix: Estimate/StdErr/t-value/p-value
R_Amb F_Amb
rea
 1.0840 0.0942 11.5105 <.0001 [_Parm01]
 0
roa
 1.0000
 0
foa
 0
 1.0000
fea
 0
 1.1163 0.0863 12.9394 <.0001 [_Parm02]

_THETAY_ Matrix: Estimate/StdErr/t-value/p-value
rea roa foa fea
rea
 0
 0
 0.0231 0.0314 0.7355 0.4621 [_Parm13]
roa
 0
 0.1121 0.0326 3.4399 0.000582 [_Parm14]
 0
foa
 0
 0.1121 0.0326 3.4399 0.000582 [_Parm14]
 0
fea
 0.0231 0.0314 0.7355 0.4621 [_Parm13]
 0
 0

Figure 17.56: Career Aspiration Analysis 3: Estimation of Measurement Model for x

_LAMBDAX_ Matrix: Estimate/StdErr/t-value/p-value
f_rpa f_riq f_rses f_fses f_fiq f_fpa
rpa
 0.8370
 0
 0
 0
 0
 0
riq
 0
 0.8940
 0
 0
 0
 0
rses
 0
 0
 0.9490
 0
 0
 0
fses
 0
 0
 0
 0.9490
 0
 0
fiq
 0
 0
 0
 0
 0.8940
 0
fpa
 0
 0
 0
 0
 0
 0.8370

_THETAX_ Matrix: Estimate/StdErr/t-value/p-value
rpa riq rses fses fiq fpa
rpa
 0
 0
 0
 0
 0
riq
 0
 0
 0
 0
 0
rses
 0
 0
 0
 0
 0
fses
 0
 0
 0
 0
 0
fiq
 0
 0
 0
 0
 0
fpa
 0
 0
 0
 0
 0

Figure 17.57: Career Aspiration Analysis 3: Estimation of Structural Model

_BETA_ Matrix: Estimate/StdErr/t-value/p-value
R_Amb F_Amb
R_Amb
 0
 0.1190 0.1140 1.0441 0.2964 [_Parm12]
F_Amb
 0.1302 0.1207 1.0791 0.2805 [_Parm11]
 0

_GAMMA_ Matrix: Estimate/StdErr/t-value/p-value
f_rpa f_riq f_rses f_fses f_fiq f_fpa
R_Amb
 0.1837 0.0504 3.6420 0.000271 [_Parm03]
 0.2800 0.0614 4.5618 <.0001 [_Parm04]
 0.2262 0.0522 4.3300 <.0001 [_Parm05]
 0.0870 0.0548 1.5883 0.1122 [_Parm06]
 0
 0
F_Amb
 0
 0
 0.0633 0.0522 1.2124 0.2254 [_Parm07]
 0.2154 0.0512 4.2060 <.0001 [_Parm08]
 0.3539 0.0674 5.2497 <.0001 [_Parm09]
 0.1688 0.0493 3.4205 0.000625 [_Parm10]

_PSI_ Matrix: Estimate/StdErr/t-value/p-value
R_Amb F_Amb
R_Amb
 -0.009355 0.0501 -0.1867 0.8519 [_Parm15]
F_Amb
 -0.009355 0.0501 -0.1867 0.8519 [_Parm15]

_PHI_ Matrix: Estimate/StdErr/t-value/p-value
f_rpa f_riq f_rses f_fses f_fiq f_fpa
f_rpa
 1.0000
f_riq
 1.0000
f_rses
 1.0000
f_fses
 1.0000
f_fiq