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Create Huber plots with ggplot2

Source: R/huber-plot.R
huber.Rd

The Huber plot presents the projection pursuit index values of 2D data in each 1D projection in polar coordinates, corresponding to each projection direction. It offers a simpler illustration of more complex projection from high-dimensional data to lower dimensions in projection pursuit. The function prep_huber() calculates each component required for the Huber plot (see details), which can then be supplied to various geom layers in ggplot2.

Usage

StatHuber

stat_huber(
  mapping = NULL,
  data = NULL,
  geom = "path",
  position = "identity",
  ...,
  index.fun,
  na.rm = FALSE,
  show.legend = NA,
  inherit.aes = TRUE
)

geom_huber(
  mapping = NULL,
  data = NULL,
  stat = "identity",
  position = "identity",
  index.fun,
  ref.circle.color = NULL,
  ref.circle.colour = NULL,
  ref.circle.linetype = "dashed",
  ref.circle.linewidth = NULL,
  idx.max.color = NULL,
  idx.max.colour = NULL,
  idx.max.linetype = "dashed",
  idx.max.linewidth = NULL,
  idx.profile.color = NULL,
  idx.profile.colour = NULL,
  idx.profile.linetype = "solid",
  idx.profile.linewidth = NULL,
  proj.points.color = NULL,
  proj.points.colour = NULL,
  proj.points.stroke = NULL,
  proj.points.alpha = NULL,
  proj.points.size = NULL,
  proj.points.shape = NULL,
  na.rm = FALSE,
  show.legend = NA,
  inherit.aes = TRUE,
  ...
)

GeomHuber

prep_huber_best_proj(data, index_fun)

theme_huber(...)

Format

An object of class StatHuber (inherits from Stat, ggproto, gg) of length 3.

An object of class GeomHuber (inherits from Geom, ggproto, gg) of length 4.

Arguments

mapping

Set of aesthetic mappings created by aes(). If specified and inherit.aes = TRUE (the default), it is combined with the default mapping at the top level of the plot. You must supply mapping if there is no plot mapping.

data

The data to be displayed in this layer. There are three options:

If NULL, the default, the data is inherited from the plot data as specified in the call to ggplot().

A data.frame, or other object, will override the plot data. All objects will be fortified to produce a data frame. See fortify() for which variables will be created.

A function will be called with a single argument, the plot data. The return value must be a data.frame, and will be used as the layer data. A function can be created from a formula (e.g. ~ head(.x, 10)).

geom

The geometric object to use to display the data for this layer. When using a stat_*() function to construct a layer, the geom argument can be used to override the default coupling between stats and geoms. The geom argument accepts the following:

  • A Geom ggproto subclass, for example GeomPoint.

  • A string naming the geom. To give the geom as a string, strip the function name of the geom_ prefix. For example, to use geom_point(), give the geom as "point".

  • For more information and other ways to specify the geom, see the layer geom documentation.

position

A position adjustment to use on the data for this layer. This can be used in various ways, including to prevent overplotting and improving the display. The position argument accepts the following:

  • The result of calling a position function, such as position_jitter(). This method allows for passing extra arguments to the position.

  • A string naming the position adjustment. To give the position as a string, strip the function name of the position_ prefix. For example, to use position_jitter(), give the position as "jitter".

  • For more information and other ways to specify the position, see the layer position documentation.

...

Other arguments passed on to layer()'s params argument. These arguments broadly fall into one of 4 categories below. Notably, further arguments to the position argument, or aesthetics that are required can not be passed through .... Unknown arguments that are not part of the 4 categories below are ignored.

  • Static aesthetics that are not mapped to a scale, but are at a fixed value and apply to the layer as a whole. For example, colour = "red" or linewidth = 3. The geom's documentation has an Aesthetics section that lists the available options. The 'required' aesthetics cannot be passed on to the params. Please note that while passing unmapped aesthetics as vectors is technically possible, the order and required length is not guaranteed to be parallel to the input data.

  • When constructing a layer using a stat_*() function, the ... argument can be used to pass on parameters to the geom part of the layer. An example of this is stat_density(geom = "area", outline.type = "both"). The geom's documentation lists which parameters it can accept.

  • Inversely, when constructing a layer using a geom_*() function, the ... argument can be used to pass on parameters to the stat part of the layer. An example of this is geom_area(stat = "density", adjust = 0.5). The stat's documentation lists which parameters it can accept.

  • The key_glyph argument of layer() may also be passed on through .... This can be one of the functions described as key glyphs, to change the display of the layer in the legend.

index.fun, index_fun

the projection pursuit index function, see examples

na.rm

If FALSE, the default, missing values are removed with a warning. If TRUE, missing values are silently removed.

show.legend

logical. Should this layer be included in the legends? NA, the default, includes if any aesthetics are mapped. FALSE never includes, and TRUE always includes. It can also be a named logical vector to finely select the aesthetics to display. To include legend keys for all levels, even when no data exists, use TRUE. If NA, all levels are shown in legend, but unobserved levels are omitted.

inherit.aes

If FALSE, overrides the default aesthetics, rather than combining with them. This is most useful for helper functions that define both data and aesthetics and shouldn't inherit behaviour from the default plot specification, e.g. annotation_borders().

stat

The statistical transformation to use on the data for this layer. When using a geom_*() function to construct a layer, the stat argument can be used to override the default coupling between geoms and stats. The stat argument accepts the following:

  • A Stat ggproto subclass, for example StatCount.

  • A string naming the stat. To give the stat as a string, strip the function name of the stat_ prefix. For example, to use stat_count(), give the stat as "count".

  • For more information and other ways to specify the stat, see the layer stat documentation.

ref.circle.color, ref.circle.colour, ref.circle.linetype, ref.circle.linewidth

Default aesthetics for the reference circle

idx.max.color, idx.max.colour, idx.max.linetype, idx.max.linewidth

Default aesthetics for the line indicating the best projection direction

idx.profile.color, idx.profile.colour, idx.profile.linetype, idx.profile.linewidth

Default aesthetics for the index profile line

proj.points.color, proj.points.colour, proj.points.stroke, proj.points.alpha, proj.points.size, proj.points.shape

Default aesthetics for the projected data points

Details

the prep_huber() function calculates components required for making the Huber plots. It returns a list including three elements:

the idx_df data frame:

the x/y coordinates of the index value, in polar coordinates. Used for plotting the index value at each projection direction, with the reference circle.

the proj_df data frame:

the best 1D projection. Used for plotting the 1D projection in histogram.

the slope value:

the slope to plot in the Huber plot to indicate the direction of the best 1D projection.

Examples

library(ggplot2)
library(tourr)
library(ash)
data(randu)
# simplify the randu data into 2D for illustration
randu_std <- as.data.frame(apply(randu, 2, function(x) (x-mean(x))/sd(x)))
randu_std$yz <- sqrt(35)/6*randu_std$y-randu_std$z/6
randu_df <- randu_std[c(1,4)]

# main example: Huber plot with geom_huber()
randu_df |>
  ggplot()  +
  geom_huber(aes(x = x, y = yz), index.fun = norm_bin(nr = nrow(randu_df))) +
  coord_fixed() +
  theme_huber()


# compute the best projection data for histogram
randu_huber_best <- prep_huber_best_proj(
  randu_df, index_fun = norm_bin(nr = nrow(randu_df))
  )
randu_huber_best |>
  ggplot() +
  geom_histogram(aes(x = x), breaks = seq(-2.2, 2.4, 0.12)) +
  xlab("") + ylab("") +
  theme_bw() +
  theme(axis.text.y = element_blank())