Preprint: Analysis of Likert Type Data Using Metric Methods

I need to clean up the argument a bit, but I think I’ve correctly argued this practice is not defensible from any statistical philosophy, whether Frequentist or Bayesian.

Applying decision theoretic principles to the design of experiments leads to the conclusion that maximizing utility coincides with maximization of information. Any practice that fails to do so when it is computationally feasible is irrational, or as Joel Michell might say “pathological.”

Some links connecting decision theory, information, and experimental design.

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