Hi Witold,

I think a good starting point is the following web site:

https://methodology.psu.edu/ra/lca/example

A book chapter that is quite easy to read and to understand is the book chapter by Glenn A. Williams and Fraenze Kibowski (Latent Class Analysis and Latent Profile Analysis). You may download it here:

https://www.academia.edu/12262869/_Chapter_Latent_Class_Analysis_and_Latent_Profile_Analysis

Hope this helps, Karin

Hi Witold

Check this book http://www.guilford.com/books/Data-Analysis-with-Mplus/Christian-Geiser/9781462502455 

I think Prof Shevlin has this book in his office

All the best

Dan

It depends on your background, but I found it useful to think of it as a mixture of log linear models as this made links between the classes and the models of counts of discrete data patterns more explicit.

John Uebersax's notes are a good starting point for technical information explained succinctly.

This book is the most easy to read guide to LCA.

Lanza ST, Collins LM. Latent Class And Latent Transition Analysis, With Applications In The Social, Behavioral, And Health Sciences. United States of America: John Wiley & Sons, Inc.; 2010. 285 p.