I'm running SEM in lavaan, but my model seems not fitting correctly based on the chi-square value and it's p-val = 0.000.
When i look at other fit measurements, the model is close to fit well. Below is my model, can someone help me out to interoperate my results? Based on this information i have information to say that the model is ok, but also.... not based on the chi-square.
any help would be much appreciated!
lavaan 0.6-12 ended normally after 127 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 72
Number of observations 275
Model Test User Model:
Standard Robust
Test Statistic 409.000 370.066
Degrees of freedom 218 218
P-value (Chi-square) 0.000 0.000
Scaling correction factor 1.105
Satorra-Bentler correction
Model Test Baseline Model:
Test statistic 1962.734 1643.739
Degrees of freedom 250 250
P-value 0.000 0.000
Scaling correction factor 1.194
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.888 0.891
Tucker-Lewis Index (TLI) 0.872 0.875
Robust Comparative Fit Index (CFI) 0.899
Robust Tucker-Lewis Index (TLI) 0.884
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -23956.022 -23956.022
Loglikelihood unrestricted model (H1) -23751.523 -23751.523
Akaike (AIC) 48056.045 48056.045
Bayesian (BIC) 48316.452 48316.452
Sample-size adjusted Bayesian (BIC) 48088.154 48088.154
Root Mean Square Error of Approximation:
RMSEA 0.056 0.050
90 Percent confidence interval - lower 0.048 0.042
90 Percent confidence interval - upper 0.065 0.059
P-value RMSEA <= 0.05 0.103 0.461
Robust RMSEA 0.053
90 Percent confidence interval - lower 0.044
90 Percent confidence interval - upper 0.062
Standardized Root Mean Square Residual:
SRMR 0.070 0.070
Parameter Estimates:
Standard errors Robust.sem
Information Expected
Information saturated (h1) model Structured
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
Att_x =~
ATT_good_100 12.691 1.715 7.402 0.000 12.691 0.827
ATT_mprtnt_100 14.437 2.035 7.094 0.000 14.437 0.866
self_1_100 8.571 1.944 4.410 0.000 8.571 0.464
self_2_100 7.845 1.505 5.213 0.000 7.845 0.389
ATT_useful_100 13.505 1.613 8.375 0.000 13.505 0.678
self_4_100 10.289 2.030 5.068 0.000 10.289 0.451
PBC_x =~
PBC_time_100 15.549 1.298 11.975 0.000 15.549 0.768
PBC_space_100 20.148 1.692 11.908 0.000 20.148 0.672
ATT_plesnt_100 8.259 1.905 4.335 0.000 8.259 0.338
ATT_hygenc_100 -9.277 1.748 -5.307 0.000 -9.277 -0.348
Soc_x =~
MN_friend_100 26.891 1.156 23.261 0.000 26.891 0.923
MN_colleg_100 22.978 1.424 16.137 0.000 22.978 0.801
MN_family_100 19.583 1.678 11.669 0.000 19.583 0.630
MN_media_100 17.132 1.654 10.355 0.000 17.132 0.613
Know_x =~
PBC_easy_100 15.685 1.405 11.163 0.000 15.685 0.766
PBC_knw_wh_100 10.038 1.019 9.848 0.000 10.038 0.626
PBC_knw_hw_100 13.559 1.210 11.203 0.000 13.559 0.744
satis_3_100 14.222 1.771 8.030 0.000 14.222 0.558
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
Intention_100 ~
Att_x 1.829 1.158 1.579 0.114 1.829 0.106
PBC_x 6.713 1.094 6.137 0.000 6.713 0.389
Soc_x 2.693 1.171 2.300 0.021 2.693 0.156
dist_pak 0.006 0.003 2.398 0.016 0.006 0.094
Beh_avg ~
Intention_100 0.200 0.078 2.577 0.010 0.200 0.211
PBC_x 5.199 1.272 4.089 0.000 5.199 0.317
PANT 8.536 3.000 2.845 0.004 8.536 0.165
dist_org -0.026 0.007 -3.576 0.000 -0.026 -0.199
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
Att_x ~~
PBC_x 0.335 0.070 4.801 0.000 0.335 0.335
Soc_x 0.089 0.070 1.256 0.209 0.089 0.089
Know_x 0.257 0.073 3.518 0.000 0.257 0.257
PBC_x ~~
Soc_x -0.016 0.075 -0.208 0.836 -0.016 -0.016
Know_x 0.565 0.068 8.274 0.000 0.565 0.565
Soc_x ~~
Know_x -0.013 0.079 -0.168 0.866 -0.013 -0.013
