randomLCA

Can anybody, please, explain me how many parameter are estimated using
randomLCA?

For examples,  model  "dentistry.lca2random"   estimate 1 scale (or
variance, b_j)  parameter  and 2 position parameters (a_cj)? Doesn't
it?
Do I need at least 4 diagnostic tests for such a model?

What happens if I specify options blocksize and byclass? How many
diagnostic tests (or rater) I need?


Extract from see "randomLCA examples", by Ken Beath.

dentistry.lca2random <- randomLCA(dentistry[,

+ 1:5], freq = dentistry$freq, initmodel = dentistry.lca2,
+ nclass = 2, random = TRUE, quadpoints = 31,
+ probit = TRUE)


Thank you.