Andrew Reid PhD

This post continues my exploration of causal inference, focusing on the type of problem an empirical researcher is most familiar with: where the underlying causal model is not known. In this case, the model must be discovered. I use some Python code to introduce the PC algorithm, one of the original and most popular approaches to causal discovery. I also discuss its assumptions and limitations, and briefly outline some more recent approaches. This is part of a line of teaching-oriented posts aimed at explaining fundamental concepts in statistics, neuroscience, and psychology.

In this post, I attempt (as a non-expert enthusiast) to provide a gentle introduction to the central concepts underlying causal inference. What is causal inference and why do we need it? How can we represent our causal reasoning in graphical form, and how does this enable us to apply graph theory to simplify our calculations? How do we deal with unobserved confounders? This is part of a line of teaching-oriented posts aimed at explaining fundamental concepts in statistics, neuroscience, and psychology.

Functional connectivity is a term originally coined to describe statistical dependence relationships between time series. But should such a relationship really be called connectivity? Functional correlations can easily arise from networks in the complete absence of physical connectivity (i.e., the classical axon/synapse projection we know from neurobiology). In this post I elaborate on recent conversations I've had regarding the use of correlations or partial correlations to infer the presence of connections, and their use in constructing graphs for topological analyses.