APPLICATION OF AN OBJECTIVE STATISTICAL BAYESIAN ANALYSIS OF A NONLINEAR REGRESSION MODEL TO THE COMPARISON OF TOTAL DEGRADED PROPORTIONS OF SEVERAL FOODS
Abstract
In this paper the total degraded proportions of several foods subject to in vitro digestibility are compared. For it, the degraded proportion of a food up to time t is modelled as an exponential non linearizable function of t and for the parameters appearing in the model an objective Bayesian statistical analysis is carried out. These parameters have natural constraints which are not adequately processed with a frequentist statistical analysis while the Bayesian statistical analysis allows not only to adequately process them as was stated in Cano and Salmerón (2007) but it even allows to compare the degradation curves of several foods. An application with real data is presented. The statistical methodology we have used to solve this model can be adapted to solve similar models involving parameters subject to certain constraints.Downloads
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