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 anon9210 posted on Friday, September 17, 2010 - 12:43 pm
Is it a problem if CFI and TLI are greater than 1 in an EFA? Or if RMSEA is exactly 0?

There don't seem to be any other issues with the EFA model - i.e., residual variances are all +ve, loadings look as expected, etc.

Thanks in advance again!
 Linda K. Muthen posted on Friday, September 17, 2010 - 2:46 pm
Please send your output and license number to
 Miranda Vervoort posted on Monday, October 11, 2010 - 6:40 am
I have the same problem with my path models. CFI is exactly 1 and the TLI is greater than 1.
What can I do about this?

Thank you in advance!
 Linda K. Muthen posted on Monday, October 11, 2010 - 6:52 am
TLI can be greater than one. It sounds like your model is just-identified with zero degrees of freedom. In this case, model fit cannot be assessed.
 Miranda Vervoort posted on Wednesday, October 13, 2010 - 12:40 am
I don't think that is the problem. The chi-square test of model fit indicates a value of 31.339 with 33 degrees of freedom and the number of free parameters is 64.
But does these high values of CFI/TLI indicate that there are problems with my model?
I don't get any errors and the findings are highly in line with the theoretical expectations.
 Linda K. Muthen posted on Wednesday, October 13, 2010 - 11:37 am
From what you say the p-value for chi-square must be very large which like CFI and TLI points to a well-fitting model.
 Michaela Sokoliová posted on Tuesday, April 03, 2012 - 3:04 am
Hello ;)
I would desperately need your help and appreciate any of your suggestions ;)
I used EFA (after running CFA to confirm 2factors structure of my guestionnaire – that was rejected) for my data (N = 213, items 11) and I got:
3 factors: df = 25; x2 = 19.890; p = .7525; CFI = 1.000; TLI = 1.022; RMSEA = .000
4 factors: df = 17; x2 = 9.730; p = .9145; CFI = 1.000; TLI = 1.046; RMSEA = .000

3 factors model seems to be more appropriate to me but... I have no clue how to report this (if I reject the model with 4 factors). Both models should be acceptable according to statistics or??? I´ve already read, that´s no problem if TLI is higher than 1.

I´m really thankful in advance 
 Linda K. Muthen posted on Tuesday, April 03, 2012 - 10:05 am
Once you get a p-value greater than .05 you should stop. So three factors would seems best. You should also use theory to support this decision.
 Michaela Sokoliová posted on Tuesday, April 03, 2012 - 11:11 am
Thanks a million ;)
Yeah, theory is supportive but I wanted to hint as statistic reason as well. So if this is enough I´m fine with it.
thank you again
 RGL posted on Wednesday, June 13, 2012 - 2:28 pm

I am in a similar situation, after an EFA with binary variables: RMSEA = 0.000, CFI and TLI greater than 1.00. Chi-squared stats are good, and the fit works theoretically. From this thread, it sounds like this is fine, but I'd love a reference if you have one!

 Linda K. Muthen posted on Wednesday, June 13, 2012 - 3:03 pm
Please send the output and your license number to CFI cannot be greater than one.
 RGL posted on Wednesday, June 13, 2012 - 3:22 pm
Hello - sorry, my mistake, CFI = 1.00, TLI slightly larger than 1.00.

I am using MPlus at a computer lab at the University of Michigan (where I am a full-time student), not sure about obtaining the license number
 Stephen Teo posted on Monday, February 04, 2013 - 5:03 pm

My CFI = 1.000 TFI = 1.004
My Chi-sq = 1.939, df=3 and p = 0.5851

Is there an issue with this model?

 Bengt O. Muthen posted on Monday, February 04, 2013 - 6:08 pm
You probably have low correlations and/or low sample size so not much power to reject

TFI >1 should be rounded to 1.
 kja posted on Monday, May 06, 2013 - 6:15 pm
Hello Dr. Muthen,

Is it concerning to have a CFI=1.00 and RMSEA=0.00? (I am using MLR). It does not appear that there are any issues with model identification. I ran the same model in EQS, and while the standardized path betas and factor loadings were nearly equivalent, the CFI=0.991 and RMSEA=0.023.

Thank you.
 kja posted on Monday, May 06, 2013 - 6:19 pm
Hi Dr. Muthen,

Sorry - please disregard the previous post, I figured out the issue. Thank you.
 Stefano Cacciamani posted on Thursday, December 14, 2017 - 12:41 am
Hi Dr Muthen,
I'm analyzing a model with 4 variables in a sample of 93 subjects. The MPLUS output is the following ( see below) with CFI and TLI =1.
What does it means? Is it a problem the sample size?
Thanks in advance for your kind attention.
Stefano Cacciamani

Chi-Square Test of Model Fit

Value 0.000
Degrees of Freedom 0
P-Value 0.0000

RMSEA (Root Mean Square Error Of Approximation)

Estimate 0.000
90 Percent C.I. 0.000 0.000
Probability RMSEA <= .05 0.000


CFI 1.000
TLI 1.000

Chi-Square Test of Model Fit for the Baseline Model

Value 25.458
Degrees of Freedom 9
P-Value 0.0025

SRMR (Standardized Root Mean Square Residual)

Value 0.000
 Stefano Cacciamani posted on Thursday, December 14, 2017 - 12:47 am
Dear dr. Muthen,
just a correction about the previous post: the variables are 5 instead of 4.
Thanks again
Stefano Cacciamani
 Bengt O. Muthen posted on Thursday, December 14, 2017 - 12:27 pm
See our FAQ:

TFI fit index: Unusual values
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