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 Eliana Greenstein posted on Tuesday, April 13, 2010 - 8:53 am
Hi.
I am running an EFA with 12 categorical variables and all load strongly on a single factor (factor loadings range between .771 and .953). However, while my Chi Square is significant and the CFI = .989 and TLI = .987, the RMSEA is .184 and the SRMR is .061. Can you suggest any reason for the high RMSEA? Are there any steps that I should take to try and make it lower? Is it possible that the scale is still valid, even with the RMSEA out of an "acceptable" range?
Thank you.
 Linda K. Muthen posted on Wednesday, April 14, 2010 - 7:49 am
The chi-square p-value should be greater than .05 for good fit. It sounds like you need to modify your model.
 Eliana Greenstein posted on Monday, April 19, 2010 - 8:29 am
Linda,
Thank you for your quick response.
The Chi square p-value being less than .05 can be attributed to the large sample size (n=1285), is there any reason that the CFI and TLI are good indicators of fit, while the RMSEA is not?
Thanks again.
 Linda K. Muthen posted on Monday, April 19, 2010 - 4:47 pm
If chi-square is not good, RMSEA will not be either. A low p-value for chi-square cannot always be attributed to sample size. It is often truly a sign of poor fit. You might instead ask why CFI and TLI are good. This could be because of low correlations among your variables.
 Eddie T. C. Lam posted on Tuesday, September 28, 2010 - 4:19 am
Chi-square is not a reliable "fit index" since it is affected by sample size (it is always significant when N > 200). It is also affected by the complexity of the model (too many variables in one factor, just like your case). Check normality of the data since highly skewed and kurtotic variables would also increase chi-square values.
 Delphine De Smedt posted on Tuesday, February 28, 2012 - 1:22 am
Hi,

We are running a CFA with two factors in Mplus.
As a result we found the following fit indices:

Chi square
value:6959.053
p-value:0.0000
RMSEA:0.130
CFI:0.955
TLI:0.944

All factor loadings were high, ranging between 0.603 and 0.882


Correlations among variables were high.

Can you suggest any reason why the RMSEA is so high? The high ch-square can be attributed to the large sample size (n=7661)


Thank you!
 Linda K. Muthen posted on Tuesday, February 28, 2012 - 10:13 am
I don't think these fit statistics show good fit. I would look at modification indices to seewhat is causing the misfit in the model. You might also consider an EFA to see if your CFA is correct the the data.
 Walter Müller posted on Wednesday, July 18, 2012 - 9:48 am
Dear Ms. Muten,

Im running a CFA with three factors in Mplus (n>1000). As a result I got the following fit indices:

chi-square: 1285 p .00000
CFI: 0.982
TLI: 0.979
RMSEA: 0.093

Factor loadings are very high (.80 - .90) Factor correlations are high aswell (.80)


CFI/TLI are very goog, while RMSEA is not.
chi-square is (unfortunatly) significant.
What do you think? Is the model fit ok? Can your recommend any papers accepting a RMSEA <.10 as an still appropriate model fit or discussing the problem (RMSEA bad, CFI/TLI very goog)?



Thank you very much for your help in advance!
 Linda K. Muthen posted on Wednesday, July 18, 2012 - 11:18 am
I would explore the fit of this model further. You don't say what your sample size is but chi-square and RMSEA both show poor fit and CFI and TLI are similar in that they compare to a baseline model.
 Hannah Wittmann  posted on Wednesday, July 18, 2012 - 11:28 am
My sample size is almost 1200 persons.
 Linda K. Muthen posted on Wednesday, July 18, 2012 - 11:38 am
This is not overly large.
 Xu, Man posted on Tuesday, March 26, 2013 - 11:49 am
The previous posts didn't show their df. I ran into a similar situation, but came across on the web that RMSEA could be artificially high for models with low df - actually it w.

Kenny, D. A., Kaniskan, B., & McCoach, D. B. (2011). The performance of RMSEA in models with small degrees of freedom. Unpublished paper, University of Connecticut.
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