---
title: "Plotting Causal Effects with `inferference`"
author: "Bradley Saul"
date: "`r Sys.Date()`"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{inferference_plots}
  %\VignetteEngine{knitr::rmarkdown}
  \usepackage[utf8]{inputenc}
---

```{r, echo = TRUE, eval = TRUE}
library(inferference)
head(vaccinesim)
```


```{r, echo = TRUE, eval = TRUE}
example1 <- interference(
    formula = Y | A | B ~ X1 + X2 + (1|group) | group, 
    allocations = seq(.2,.8, by = .1), 
    data = vaccinesim, 
    randomization = 2/3,
    method = 'simple')
```

### Direct Effects
```{r, echo = TRUE}
deff <- direct_effect(example1)
x <- deff$alpha1
y <- as.numeric(deff$estimate)
u <- as.numeric(deff$conf.high)
l <- as.numeric(deff$conf.low)
plot(c(min(x), max(x)),c(-.15, .25), type = 'n',
     xlab = expression(alpha), 
     ylab = expression(widehat(DE) * "(" * alpha * ")"),
     bty = 'n')
polygon(c(x, rev(x)), c(u, rev(l)), col = 'skyblue', border = NA)
lines(x, y, cex = 2)

```

### Indirect Effects

```{r, echo = TRUE}
ieff.4 <- ie(example1, allocation1 = .4)
x <- ieff.4$alpha2
y <- as.numeric(ieff.4$estimate)
u <- as.numeric(ieff.4$conf.high)
l <- as.numeric(ieff.4$conf.low)
plot(c(min(x), max(x)),c(-.15, .25), type = 'n',
     xlab = expression(alpha * "'"), 
     ylab = expression(widehat(IE) * "(" * 0.4 * "," * alpha * "'" * ")"))
polygon(c(x, rev(x)), c(u, rev(l)), col = 'skyblue', border = NA)
lines(x, y, cex = 2)

```


```{r, echo = TRUE}
ieff <- subset(example1$estimates, effect == 'indirect')
x <- sort(unique(ieff$alpha1))
y <- sort(unique(ieff$alpha2))
z <- xtabs(as.numeric(estimate) ~ alpha1 + alpha2, data= ieff)
contour(x, y, z,
        xlab = expression(alpha), ylab = expression(alpha * "'"))
```
