A Hierarchical Adaptive Approach to the Optimal Design of Experiments

Woojae KimOhio State University
Mark PittOhio State University
Zhong-Lin LuOhio State University
Mark SteyversUniversity of California, Irvine
Hairong GuOhio State University
Jay MyungOhio State University

Abstract

Experimentation is at the core of research in cognitive science, yet observations can be expensive and time-consuming to acquire. A major interest of researchers is designing experiments that lead to maximal accumulation of information about the phenomenon under study with the fewest possible number of observations. In addressing this challenge, statisticians have developed adaptive design optimization methods. This paper introduces a hierarchical Bayes extension of adaptive design optimization that provides a judicious way to exploit two complementary schemes of inference (with past and future data) to achieve even greater accuracy and efficiency in information gain. We demonstrate the method in a simulation experiment in the field of visual perception.

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