Message/Author 

Daniel posted on Wednesday, February 08, 2006  7:48 am



I looked in your technical appendices and could not find the limits of the RMSEA confidence interval. Is it a 90% CI? 


It is a 95% confidence interval. 

Phil posted on Tuesday, February 21, 2006  3:53 pm



Under "TESTS of MODEL FIT" in the Mplus results, there are two model fits: (1) ChiSquare Test of Model Fit; (2) ChiSquare Test of Model Fit for the Baseline Model. Which one should I use? Is good model with small ChiSquare statistic? How to use this ChiSquare statistic to evaluate a model (e.g., ChiSquare/df < 5)? 


You should use the Chisquare test of model fit. The other is for the baseline model that is used for CFI and TLI. Usually, one looks for a pvalue greater than .05. 

Phil posted on Tuesday, February 28, 2006  9:17 am



Dear Linda, How to obtain 90% CIs of RMSEA in SEM? Thanks. 


If it is not given for your analysis, it has most likely not been developed for that situation. If you want a more specific answer, send your input, data, output, and license number to support@statmodel.com. 

Joseph posted on Tuesday, February 28, 2006  11:24 am



What is the criterion for the WRMR in Mplus? What does "StdYX" mean in model results? Thanks. 


We recommend a value less than or equal to one. We do not recommend this for growth models with many time points or for multiple group analysis. See pages 503504 of the Version 4 Mplus User's Guide for a description of StdYX. 

hans beeman posted on Thursday, November 30, 2006  5:04 pm



Hello Drs. Muthén, using the MLR estimator, MPlus does not give RMSEA confidence intervals. I read in the MPlus forum that a technique to compute confidence intervals for RMSEAs while using MLR has not yet been developed. Hence, I was surprised to read a paper recently (Zimprich, Allemand, & Hornung, 2006 [European Journal of Psychological Assessment]) that reported 95% confidence intervals for RMSEA, having used the MPlus MLR estimator. It appears the authors have a posteriori implemented the T2* statistic into the formula given in MacCallum, Browne, and Sugawara (1996) [Psychological Methods]. My question is: As I need CIs for my RMSEAs (using MLR) too  is this procedure possible? 


We have looked at the paper and think this looks good. We will add it in a future update. 

J.T. Kuhn posted on Wednesday, June 20, 2007  5:52 am



I have a question relating to the computation of the RMSEA in multiple group SEM/CFA in MPlus (Type=meanstructure). I have conducted a multiple groups CFA, constraining loadings and error variances across groups. How is the RMSEA calculated in MPlus for this? The usual formula is RMSEA = SQRT[d/df], with d = chi^2  df / (N  1). I have the following parameters: Overall fit N = 1328 df = 267 chi^2 = 518.178 Groupwise fit Group 1 N = 305 df = 69 chi^2 = 149.139 Group2 N = 354 df = 66 chi^2 = 121.517 Group3 N = 358 df = 66 chi^2 = 136.735 Group4 N = 311 df = 66 chi^2 = 110.787 Using the parameters from the overall model, I get a RMSEA of 0.053 in MPlus, but using the formula above, I get 0.027. What is the reason for this? How is the RMSEA computed in this case? Or is  in the multiple group setting  the RMSEA calculated groupwise and then averaged? I'd greatly appreciate your help! I need to calculate RMSEA confidence intervals for MLMestimates (rescaled), that's why I ask (RMSEA CIs are not given for MLM estimates). 


The formula is: RMSEA = SQRT[d/df] SQRT [G] where G is the number of groups. See Technical Appendix 5, formula 125. The reference for this is also included. If we don't give a confidence interval for RMSEA, then we believe the regular confidence interval is not appropriate. 

Bin Na Kim posted on Saturday, November 24, 2007  4:22 am



Dear Dr. Muthen, I am a new Mplus user. In performing SEM, I chose MLM as estimator, because I have nonnormal continuous data. I got a RMSEA of 0.033, and I would like to know about the CI for RMSEA. I found on the discussion board that RMSEA CI for MLM was not provided last December,and I wonder if it is still the case. If it's not possible to obtain RMSEA CI for MLM, is there an alternative way to compute the CI or other indices that I can report instead of CI? I always learn a lot from your comments on the board. Many thanks in advance. Kim, Bin Na 


There is no confidence interval available for the MLM estimator. I would look at the point estimate and use the suggested cutoff along with the other fit statistics. 

M Hamd posted on Saturday, April 03, 2010  5:28 pm



Heck (2001) say on p.109, "To test the complete (i.e., twogroup) multilevel model with unbalanced group sizes, Muthen's robust quasilikelihood estimator (MLM) should be used because it provides the correct chisquare coefficient and standard errors.With unbalanced group sizes, the RMSEA is incorrect, so only the chisquare can be used to estimate the overall model fit." Is this correct that when I have unbalanced design, I can only interpret chsq. But for large sample sizes chsq test will seldom pass? I will appreciate any comments on this. Ref: Heck, R. H. 2001. Multilevel modeling with SEM. In G. A. Marcoulides & R. E. Schumacker (Eds.), New developments and techniques in structural equation modeling: 89127. Mahwah, NJ: Lawrence Erlbaum Associates, Inc. 


Perhaps Heck was referring to the "MUML" estimator which is only ML with balanced data. In the current Mplus the regular ML estimator is the default and recommended estimator. Here, chi2, RMSEA, and SEs are all correct also with unbalanced designs. 

M Hamd posted on Sunday, April 04, 2010  5:15 pm



Dr. Muthen Thanks a lot. 


Hi, for model fit indices in mplus, CFI, TLI should be above .9 or >= .95 to show a good model fit. Any references. Thanks, 


See Hu, L. & Bentler, P.M. (1998). Fit indices in covariance structure analysis: Sensitivity to underparameterized model misspecification. Psychological Methods, 3, 424453. Hu, L. & Bentler, P.M. (1999). Cutoff criterion for fit indices in covariance structure analysis: conventional criteria versus new alternatives. Structural Equation Modeling, 6, 155. But note that more recent articles point out that a fixed cutoff like this is not suitable for all situations  Google the literature. 


Thanks, I have one more question: How to calculate the multivariate normaility in Mplus? Thanks, 


There is no option to do this in Mplus. 


Has been developed the 90% confidence band for the RMSEA? 


If you are asking for the case of categorical outcomes, yes. It has always been available for continuous outcomes. 


I am runing a exploratory SEM using the WLSMV estimator. I do need to report the range of values and the confidence intervals for RMSEA; my output only provides the estimate value. Is there any command I can use to get that information? 


No need for an answer. I already got the RMSEA information. Thanks Esperanza 

Jenny L. posted on Saturday, June 01, 2013  1:43 pm



Dear Professors: In one of the models I tested, the estimated RMSEA was 0.000, but 90% CI and probability<.05 were not provided. Was there something wrong in my model? (CFI=1.000, TLI=1.029) Thank you for your kind help. 

Jenny L. posted on Sunday, June 02, 2013  10:50 am



Dear Professors, I did an EFA and got an RMSEA estimate=.000, but there was no information on the 90% CI and probability =<.05. Could you tell me how I should interpret it? Thank you in advance for your help. 

Jenny L. posted on Sunday, June 02, 2013  10:52 am



Oops, sorry for posting similar messages twice. I thought the first one disappeared... 


You are either using an older version of Mplus or the CI and probability have not yet been developed for your situation. 

Jenny L. posted on Tuesday, June 04, 2013  9:10 pm



Thank you for your advice. I'm using version 7 so it should not be the concern. May I ask what might be some reasons why "CI and probability have not yet been developed"? Is it possibly because the lower bound is 0 and the upper bound is also very close to 0 and thus the CI was not displayed? (I had a chi square(df=2)=.01, CFI=1.000, TLI=1.029). Thank you for your help! 


No one has taken the time to research the proper CI and probability for all situations. 

Li posted on Thursday, December 19, 2013  6:55 am



Drs. Muthen, I did a factor analysis with categorical outcomes using Mplus 7, and the reported confidence interval is 90%. I was wondering why Mplus does not report a 95% CI because that's more conventional. I ask this question because a reviewer of my article asked why I reported 90% CI instead of 95%. I sense there is probably a reason behind the decision made by Mplus. Thanks for your explanation. Li 


Please send that output to Support. 

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