EL MODELO DE REGRESIÓN LOGÍSTICA PARA EL CASO EN QUE LA VARIABLE DE RESPUESTA PUEDE ASUMIR UNO DE TRES NIVELES: ESTIMACIONES, PRUEBAS DE HIPÓTESIS Y SELECCIÓN DE MODELOS

This approach follows the following scheme: first, the vector score and the information matrix from the logistics models and saturated multinomials with three possible response levels starting from the first and second derivative of the function of likelihood with respect to the parameters of the models; the relationship between the vector score and the information matrix; the multivariant standardization of the entry variables of each model; the respective asymptotic distributions; proof of comparisons and model selections that include the polytomic variable with three levels, logistic logistical and saturated models, logistical and submodel, logistical with null model, and logistical with the submodel of a less explanatory variable.