A composite linear model (CLM) is a matrix model for incomplete multin
omial data. A CLM provides a unified approach for maximum likelihood i
nference which is applicable to a wide variety of problems involving i
ncomplete multinomial data. By formulating a model as a CLM, one can s
implify computation of maximum likelihood estimates and asymptotic sta
ndard errors. As an example, we use CLM to test marginal homogeneity f
or ordered categories, subject to both ignorable and non-ignorable mis
sing-data mechanisms.