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Hello, I ran an EFA and RMSEA = .061 but not as interprtar following "Probability RMSEA <= .05 p= 0.081" 


The value 0.05 is often used as a limit that a good model should not exceed. This output says that with your estimate of 0.061, the probability is only 0.081 that this estimate is less than 0.05 and you have a good enough model in this sense. 


Thank you for your prompt response. I understand how to interpret the value of RMSEA. Does the probability associated with RMSEA is recommended to be less than p = .05? 


You want the probability of RMSEA being less than .05 to be high. 


When Chi square is higher than 0.05, and CFI / TLI are higher than 0.95 and RMASEA has a value less than 0.05, usually associated to the probability value is higher 0.05 RMASEA. Am I correct? Am I playing well the value and probability of RAMSEA? The value must be less than 0.05 and also see that the probability is higher than 0.05, to accept the null hypothesis. Is this correct? 


Note that the chi square pvalue should be lower than 0.05, not higher than 0.05. I think you would want the probability that RMSEA is lower than 0.05 to be higher than 0.05, but see the original articles on RMSEA. 


Thanks for your help 

Suyin Chang posted on Monday, February 24, 2014  5:59 pm



Dear Mr. Muthen, I found this thread by accident, but thought I should drop this clarifying question regarding your reply above. Shouldn't the chisquare of the model fit be nonsignificant, i.e. with a pvalue greater than 0.05? The one that should have a pvalue lower than 0.05, i.e. significant, is not the chisquare of the baseline model? Thanks! 


I think there was some confusion in this interchange talking about (1) chisquare test of overall model fit and (2) pvalue for RMSEA being less than 0.05. Regarding (1), you want a pvalue of at least 0.05 for a model to not be rejected. Regarding (2), you want a rather high pvalue. 

Suyin Chang posted on Tuesday, February 25, 2014  12:39 pm



Thanks Dr Muthen, this was precisely the carification I was thinking of. Quite helpful. 

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