Analisi statistica di un modello per le preferenze nel caso di tre alternative

We discuss a statistical model for preferences. The situation we examine is quite common in real applications: the subject is asked to give a score to a certain item on a three point scale or to rank a group of three objects. The paper discusses the probability structure underlying this kind of experiment. The proposed stochastic model is well arameterized by a single preference coefficient which has an interesting statistical interpretation. In particular, two estimators are derived for the preference parameter and their relationship is discussed. Finally, a simulation study of the roposals is performed in order to assess their relative performance.