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Table Of Contents
Causal Inference with Bayesian Networks
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We present Pearl’s do-calculus, which consists of three inference rules that allow interventional and observational distributions to be rewritten when certain conditions hold in a causal diagram. To establish the identifiability of a causal effect query, we repeatedly apply the rules of do-calculus until the resulting expression no longer contains a do-operator; the query is then estimable from non-experimental data, and the final do-free expression can be used as an estimator. When do-calculus can be used to compute a causal effect, we say the effect is identifiable; otherwise, it is unidentifiable. We also review the back-door and front-door criteria and outline the steps for the symbolic identification of causal effect queries. The practice sections reinforce these concepts with examples using the dagitty and dosearch packages in R.
In this chapter, we are going to cover the following main topics: