There is something I'm not finding the answer to anywhere.
For CFA, when a factor is fixed @1, its usually to define a metric or a scale for the CFA to be identified. I do not have a statistical background but am wondering what the latent scale represents or what it means?
For example with continuous variables if one variable is fixed @1, how would the latent variable scale be interpreted and do they have a range?
And when a categorical variable with 3 categories is fixed @1, how would the latent variable scale be interpreted? then?
I'm very confused as to what the metric or scale really mean.
1) Variables that are specified as either CATEGORICAL or NOMINAL, in Mplus will the response option of these variables with the lowest level becomes 0, with other options assigned higher values in increment of 1?
2) When a factor loading is constrained to 1, does this specification assign to a factor a scale related to that of explained variance of the reference variable?