standard or robust?

[Cristian Zanon]

Dear Dr. Rosseel,

 I have been running different factor analytical models using WLSMV estimator in small samples (150 < N < 200) and am obtaining better fit statistics (qui-square, CFI, and RMSEA) under the column called "Standard" (compared with the "Robust"). Because the discrepancies are relevant, I was wondering what set of fit indices I should interpret (standard or robust). Unfortunately, I did not find information about the specificities of interpreting them. Below is one example. Could you, please, give me some advice?

  Model Test User Model:
                                                Standard      Robust
    Test Statistic                                10.697      31.305
    Degrees of freedom                                 6           6
    P-value (Chi-square)                           0.098       0.000
    Scaling correction factor                                  0.352
    Shift parameter                                            0.880
         simple second-order correction                            
 
  Model Test Baseline Model:
 
    Test statistic                              3105.692    1663.657
    Degrees of freedom                                15          15
    P-value                                        0.000       0.000
    Scaling correction factor                                  1.875
 
  User Model versus Baseline Model:
 
    Comparative Fit Index (CFI)                    0.998       0.985
    Tucker-Lewis Index (TLI)                       0.996       0.962
                                                                   
    Robust Comparative Fit Index (CFI)                            NA
    Robust Tucker-Lewis Index (TLI)                               NA
 
  Root Mean Square Error of Approximation:
 
    RMSEA                                          0.064       0.149
    90 Percent confidence interval - lower         0.000       0.100
    90 Percent confidence interval - upper         0.125       0.202
    P-value RMSEA <= 0.05                          0.300       0.001

--

Prof. Dr. Cristian Zanon

Núcleo de Psicometria: https://www.ufrgs.br/nucleodepsicometria/

Programa de Pós-Graduação em Psicologia

Universidade Federal do Rio Grande do Sul

CV: http://lattes.cnpq.br/0250625483575345

[shamel...@queensu.ca]

I believe that this questions has been answered before - e.g., here:  https://groups.google.com/g/lavaan/c/JJTVgrDAXmA/m/jsIA_Il9CwAJ
In your case, since the Robust CFI and Robust TLI are NA, the advice would be to use the values that have a robust (scaled) chi-squared statistic, which are given in the "Robust" column on the extreme right. 

Shamel

[Cristian Zanon]

Thanks a lot

--
You received this message because you are subscribed to the Google Groups "lavaan" group.
To unsubscribe from this group and stop receiving emails from it, send an email to lavaan+un...@googlegroups.com.
To view this discussion on the web visit https://groups.google.com/d/msgid/lavaan/80a4de7b-be09-44b1-80cb-250623265421n%40googlegroups.com.