Abstract

GONZALEZ, Leandro  and  BARRAGAN, Sandra. Simulation of the accuracy and coverage in experiments including mixtures with binomial and poisson responses studied using generalized linear model and ordinary least squares approaches. Ing. Desarro. [online]. 2017, vol.35, n.2, pp.382-401. ISSN 0122-3461.

This article provides an analysis of experimental designs simplex cen troid mixtures with binomial and Poisson responses using a Generalized Linear Model. Throughout a simulation process, in which a model was assumed known, it was compared accuracy and coverage of the confi dence intervals around the expected average obtained under a model based on normal theory with that provided by a Generalized Linear Model. Simulations were carried out using specialized software, and random perturbation to the true average expected in each experimental point was introduced repeatedly. The new response vectors were analy zed in each of the two models. Accuracy and coverage were reported in each case depending on the magnitude of the induced disturbance and were used as a measure of comparison of estimation uncertainty and to evaluate the performance of both models. In an experimental design with mixtures including no normal reponse, a Generalized Linear Model produced better results in terms of accuracy and coverage than an Ordinary Least Squares based on a transformation.

Keywords : coverage; experiments with mixtures; Generalized Linear Model; Ordinary Least Squares; precision.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )