## LINEAR MODELS ANALYSIS OF INCOMPLETE MULTIVARIATE CATEGORICAL DATA (1972)

Citations: | 1 - 0 self |

### BibTeX

@MISC{Imrey72linearmodels,

author = {Peter B. Imrey and Gary G. Koch},

title = {LINEAR MODELS ANALYSIS OF INCOMPLETE MULTIVARIATE CATEGORICAL DATA },

year = {1972}

}

### OpenURL

### Abstract

This research deals with experiments or surveys producing multivariate categorical data which is incomplete, in the sense that not all variables of interest are measured on every subject or element of the sample. For the most part, incompleteness is taken to arise by design, rather than by random failure of the measurement process. In these circumstances, one can often assume that counts derived from appropriate disjoint subsets of the data arise from independent multinomial distributions with linearly related parameters. Best asymptotically normal oJ estimates of these parameters may be determined by maximizing the likelihood of the observations or by minimizing Pearson's-x 2, Neyman's X~,