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docs/source/quasi_dags.ipynb

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"If we tried to identify the causal effect of $Z \\rightarrow Y$ by conditioning on the running variable ($RV=rv$), we would eliminate any variation in $Z$ or $Y$ caused by $RV$. And because $Z$ is constant for any given value of $RV$, then the $Z \\rightarrow Y$ path would disappear and we could not estimate the causal effect.\n",
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"Identification of the causal effect of $Z \\rightarrow Y$ is done with a limiting graph (left). The $RV$ node is replaced by a subset of the data where $RV$ is close to the cutoff value $\\lambda$, hence the name \"limiting graph\" and the symbol $RV \\rightarrow \\lambda$.\n",
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"Identification of the causal effect of $Z \\rightarrow Y$ is done with a limiting graph (right). The $RV$ node is replaced by a subset of the data where $RV$ is close to the cutoff value $\\lambda$, hence the name \"limiting graph\" and the symbol $RV \\rightarrow \\lambda$.\n",
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"\n",
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"In the limit, this eliminates variation in the running variable and so breaks the $RV \\rightarrow Y$ path. The causal effect of $Z \\rightarrow Y$ can be estimated by comparing the outcomes of units just above and just below the cutoff value $\\lambda$.\n",
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"\n",

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