HI,

I am testing several models about three latent constructs that measure risk attitudes. Two models with different structure obtained identical of fit measures from chisqure to BIC. Model1 assumes three factors are correlated with each other and model two assumes a higher order factor exist and three factors related to this higher factor instead of to each other.

Model1:
model.one <- specify.model()
        tr<->tp,e.trtp,NA
        tp<->weber,e.tpweber,NA
        weber<->tr,e.webertr,NA
        weber<->weber, e.weber,NA
        tp<->tp,e.tp,NA
        tr <->tr,e.trv,NA
        ....

Model two
model.two <- specify.model()
        rsk->tp,e.rsktp,NA
        rsk->tr,e.rsktr,NA
        rsk->weber,e.rskweber,NA
        rsk<->rsk, NA,1
        weber<->weber, e.weber,NA
        tp<->tp,e.tp,NA
        tr <->tr,e.trv,NA
         ....

the summary of both sem model gives identical fit indices, using same data set.

is there some thing wrong with this mode specification?

Thanks

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