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THE MULTINOMIAL LOGISTIC MODEL FOR THE CASE IN WHICH THE RESPONSE VARIABLE CAN ASSUME ONE OF THREE LEVELS AND RELATED MODELS

The aim of this work is to examine multinomial logistic models when the response variable can assume three levels, generalizing a previous work of logistic models with binary response variables. We also describe some related models: The null, complete, and saturated models. For each model, we present and prove some theorems concerning to the estimation of the corresponding parameters with details that we could not find in the current literature.