In rje42/causl: Methods for Specifying, Simulating from and Fitting Causal Models

knitr::opts_chunk$set(echo = TRUE, eval = TRUE, output = TRUE)

library(causl)

Families

The list of built-in families can be obtained by calling family_vals. This shows the name of each family, and the value that can be used to obtain it when calling functions.
```{family_vals, include=TRUE} family_vals$val

The parameterizations for these families are based on 
generalized linear models.  Essentially, we have that 
\begin{align*}
\mathbb{E} [Y \mid X=x] = \mu(x) = g^{-1}(\eta(x))
\end{align*}
where $\eta(x) = x^T\beta$ for a vector of real parameters $\beta$.

Note that the beta and lognormal families are not actually exponential dispersion
families, so they do not share all the nice properties of full GLM distributions.
Here we include a table of the different models used.

```r
fams <- family_vals[-1,]
fams$val[5] <- "0/5"
fams$canon <- c("identity", "identity", "inverse", NA, "logistic", NA, "log-linear", "log-linear")
fams$default <- c("-", "-", "log", "logistic", "-", "exponential", "-", "-")