I am working on a study in which we want to compare a specific coefficient in Model1 to a specific coefficient in Model2. I know that I can compare overall model fit using lavaan, but can I also compare specific coefficients between models?
Example:
Model1<-'
f1=~v1+v2+v3
f2=~v4+v5+v6
f3=~v7+v8+v9
f1~~f2
f1~~f3
f2~~f3'
Model2
<-'
f1=~v1+v2+v3
f2=~v10+v11+v12
f3=~v7+v8+v9
f1~~f2
f1~~f3
f2~~f3'
Now I want to examine whether there is a statistically significant difference between the f1~~f2 coefficient in Model1 as compared to the f1~~f2 coefficient in Model2. Is this possible? If so, how?