Re: SEM model fit

[Edward Rigdon]

Kim, you will want to check out the formulas for these indices, in any standard text. RMSEA and CFI use the quantity max(chi-square - DF, 0). So if your chi-square is less than degrees of freedom, the quantity is 0. This explains why your RMSEA is 0 and CFI is 1.

TLI is not (like CFI is) normed so that it must fall between 0 and 1. Its numerator uses the ratio chi-square / DF and its denominator uses the quantity 1. So pretty much whenever chi-square is less than DF, numerator will exceed denominator, giving TLI > 1.

On Mon, Oct 30, 2023 at 10:57 AM Kim Boram <boram...@gmail.com> wrote:

Hi,

I am a beginner to run SEM using the lavaan in R. 

I am running a mediation analysis using SEM and the model fit indices include CFI=1.000, TLI = 1.002 (greater than 1), and RMSEA = 0.000. I also attached more specific model fit measures.

I am not sure how the TLI can be greater than 1 and also whether the structured model fit was okay based on the fit indices. 

Thanks in advance!

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