Analysis Of Transitive Preferences : Regenwetter And Colleagues

807 WordsMay 3, 20164 Pages
Luce stated two major difficulties regarding the analysis of transitive preferences. Regenwetter and colleagues (2011) outlined and addressed these challenges. It is important to realize that failure to address Luce’s challenges in the analysis of transitivity can lead to erroneous conclusions. To establish a probabilistic model, Luce’s first challenge, Regenwetter and colleagues (2011) selected a mixture model (or random preference model) approach that takes the fundamental theory of transitivity and considers every possible way that transitivity could hold. The advantage of the mixture model is that it assumes people can make decisions in different states. Mathematically, this means that the underlying probability distribution of observed choice patterns is not required to be uniform (Regenwetter et al., 2011), which is relevant when considering appropriate tests of information. Using appropriate statistical tests is not only an issue in the study of transitive choices; it is further complicated in decision testing because of the high levels of individual variability. When interest in testing transitive choices first began, the computational resources available were limited. This meant that the option of testing all choices simultaneously did not exist. Much research on transitive choices conducts multiple binomial tests where each choice is tested separately from the other choices a decision maker made (Regenwetter et al., 2011). This disjoint testing is only

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