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TheCG
TheCG
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ItThe legend is not a mistakewrong (or very misleading), while the code snippet displays the correct output. In the third example, given $E$, the highlighted node in grey, $A$ and $S$ are not d-separated.

In this elementary configuration, $E$ is called a collider, and in a collider, conditioning on the common effect $E$ makes $A$ and $S$ dependent on each other. See for example this course p. 483.

It is not a mistake. In the third example, given $E$, the highlighted node in grey, $A$ and $S$ are not d-separated.

In this elementary configuration, $E$ is called a collider, and in a collider, conditioning on the common effect $E$ makes $A$ and $S$ dependent on each other. See for example this course p. 483.

The legend is wrong (or very misleading), while the code snippet displays the correct output. In the third example, given $E$, the highlighted node in grey, $A$ and $S$ are not d-separated.

In this elementary configuration, $E$ is called a collider, and in a collider, conditioning on the common effect $E$ makes $A$ and $S$ dependent on each other. See for example this course p. 483.

Source Link
TheCG
TheCG
  • 1.2k
  • 7
  • 16

It is not a mistake. In the third example, given $E$, the highlighted node in grey, $A$ and $S$ are not d-separated.

In this elementary configuration, $E$ is called a collider, and in a collider, conditioning on the common effect $E$ makes $A$ and $S$ dependent on each other. See for example this course p. 483.