Open AccessA GENERAL SOLUTION FOR THE LATENT CLASS MODEL OF LATENT STRUCTURE ANALYSIS *
Author(s) -
Green Bert F.
Publication year - 1950
Publication title -
ets research bulletin series
Language(s) - English
Resource type - Journals
eISSN - 2333-8504
pISSN - 0424-6144
DOI - 10.1002/j.2333-8504.1950.tb00917.x
Subject(s) - latent class model , latent variable , mathematics , matrix (chemical analysis) , factoring , joint (building) , latent variable model , computer science , structural equation modeling , statistics , architectural engineering , materials science , finance , engineering , economics , composite material
For the point distribution model of Lazarsfeld's latent structure analysis, the general matrix equation is stated which relates the manifest data in the form of joint occurrence matrices to the latent parameters. A general solution of this equation for the latent parameters is presented, which is based on the notion of factoring two joint occurrence matrices. The solution is valid under certain conditions which will usually be fulfilled. The solution assumes that estimates are available for the elements in the joint occurrence matrices with recurring subscripts, analogous to item communality or reliability. Some alternative methods of obtaining these estimates are discussed. Finally, a method is indicated for calculating a certain joint occurrence matrix needed in the solution.