# smoothScatter with ggplot2

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The motivation for this plot is the function: *graphics::smoothScatter,* basically a plot of a two dimensional density estimator. In the following I want to reproduce the features with ggplot2.

## smoothScatter

To have some data I draw some random numbers from a two dimensional normal distribution:

`library(ggplot2) library(MASS) set.seed(2) dat <- data.frame( mvrnorm(n = 1000, mu = c(0, 0), Sigma = matrix(rep(c(1, 0.2), 2), nrow = 2, ncol = 2))) names(dat) <- c("x", "y")`

*smoothScatter* is basically a scatter plot with a two dimensional density estimation. This is nice especially in the case of a lot of observations and for outlier detection.

`par(mfrow = c(1,2)) plot(dat$x, dat$y) smoothScatter(dat$x, dat$y)`

## smoothScatter in ggplot2

OK, very pretty, lets reproduce this feature in ggplot2. First thing is to add the necessary layers, which I already mentioned is a two dimensional density estimation, combined with the *geom* called ‘tile’. Also I use the fill aesthetic to add colour and a different palette:

`ggplot(data = dat, aes(x, y)) + stat_density2d(aes(fill = ..density..^0.25), geom = "tile", contour = FALSE, n = 200) + scale_fill_continuous(low = "white", high = "dodgerblue4")`

I add one additional layer; a simple scatter plot. To make the points transparent I choose alpha to be *1/10* which is a relative quantity with respect to the number of observations.

`last_plot() + geom_point(alpha = 0.1, shape = 20)`

A similar approach is also discussed on StackOverflow. Actually that version is closer to *smoothScatter*.

## Changing the theme

The last step is to tweak the theme-elements. Not that the following adds to any form of information but it looks nice. Starting from a standard theme, *theme_classic*, which is close to where I want to get, I get rid of all labels, axis and the legend.

`last_plot() + theme_classic() + theme( legend.position = "none", axis.line = element_blank(), axis.ticks = element_blank(), axis.text = element_blank(), text = element_blank(), plot.margin = unit(c(-1, -1, -1, -1), "cm") )`

The last thing is to save the plot in the correct format for display:

`ggsave( "scatterFinal.png", plot = last_plot(), width = 14, height = 8, dpi = 300, units = "in" )`

And that’s it, a nice picture which used to be a statistical graph.

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