# Questions tagged [causal-diagrams]

A causal diagram is a directed graph that displays causal relationships between variables in a causal model.

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### Splitting of square diagram in chain complexes

Let us consider a square in chain complexes over a field $k$ \begin{array}{ccc}A & \xrightarrow{f} & B \\ \downarrow{g} & & \downarrow{h} \\ C & \xrightarrow{k} & D\end{array} ...
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### Prove d-separation path is blocked as long as NOT conditioning on the collider

Getting into the causality tools. Suppose I have a causal graph $X\to R\to T\leftarrow U.$ I can work out that $R$ and $U$ are independent; i.e., $P(r, u) = P(r)\,P(u).$ Also $X$ and $T$ are ...
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### Why is causal influence between concepts in Fuzzy Cognitive maps represented by membership functions?

We Know that FCM are represented by concepts and Weights or causal influence between the concepts. In order to find the weights, we take the help of an expert that describes the relationship between ...
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### Responses to the study questions from Causal Inference in Statistics (by Judea Pearl).

Does anybody know a source where the correct answers to study questions from the mentioned book are described? I would like to validate whether my way of thinking is correct. I have found only two ...
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### Causal Inference A Primer Study Question

I am reading Pearl's Causal Inference book and attempted at solving study question 1.2.4. Here is the entire problem: In an attempt to estimate the effectiveness of a new drug, a randomized ...
1 vote
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### Combining P-Values from multiple trials of the same experiment

this is my first question here, a little background about me, im a biomedical engineer, im studying a PhD in Neuroscience, and a Micromaster in Statistics and Data Science. Here in my lab, very few ...
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### Controlling confounders in a causal diagram. Isn't the backdoor criterion sufficient?

In Judea Pearl's The Book of Why we find the following causal diagram: where $U_1$ and $U_2$ are unobserved variables. The diagram is accompanied by a comment that ensures that neither the back door ...
1 vote
Here is my problem: There is a causal Markovian model as follows. By the definition of interventional probability, since $\text{do}(x)$ makes no edges between $X$ and $Z_1, Z_2$, we have  P(y\mid ...