In the past few years, a number of laboratories have started to go beyond activation mapping and pattern
decoding, using functional brain imaging (1) to characterize how information is represented in different brain
regions and (2) to adjudicate between alternative brain-computational models. These advances are built on
condition-rich experiments and novel data analysis techniques. Encoding models, representational similarity
analysis (RSA), and Bayesian approaches such as pattern component modelling (PCM) provide powerful and
flexible tools for inferring which of several alternative models best explains a brain representation. While
these approaches have been developed relatively independently of each other, they share core conceptual
commonalities. This Educational Course will teach (1) how to construct models of brain representations, (2)
how to design condition-rich experiments to test them, and (3) how to adjudicate between competing models
using encoding analysis, RSA, and PCM. We will teach the mathematical relationship of these approaches,
which are closely related by the fact that they all test hypotheses about the second moment of the activity
profiles. We will discuss the complementary strengths and weaknesses of the approaches and how they can
be combined as part of a larger toolbox for testing representational models.