Grade of Membership Statistical Approach
A prime application -
categorical data in a heterogeneous population.
Four indexes: i - observation # ( i=1,…,I )
j - variable # ( j=1,…,J )
l - category # ( l=1,…,Lj )
k - pure type # ( k=1,…,K )
Two sets of parameters:
?kjl - probability that an object belonging to pure type k gives response l in the variable j ( pure- type profiles )
gik - grade of membership scores for object i with respect to pure type k
