euler: Area-proportional Euler diagrams

Description Usage Arguments Details Value Methods (by class) References See Also Examples

View source: R/euler.R

Description

Fit Euler diagrams (a generalization of Venn diagrams) using numerical optimization to find exact or approximate solutions to a specification of set relationships. The shape of the diagram may be a circle or an ellipse.

Usage

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
euler(combinations, ...)

## Default S3 method:
euler(
  combinations,
  input = c("disjoint", "union"),
  shape = c("circle", "ellipse"),
  control = list(),
  ...
)

## S3 method for class 'data.frame'
euler(
  combinations,
  weights = NULL,
  by = NULL,
  sep = "_",
  factor_names = TRUE,
  ...
)

## S3 method for class 'matrix'
euler(combinations, ...)

## S3 method for class 'table'
euler(combinations, ...)

## S3 method for class 'list'
euler(combinations, ...)

Arguments

combinations

set relationships as a named numeric vector, matrix, or data.frame (see methods (by class))

...

arguments passed down to other methods

input

type of input: disjoint identities ('disjoint') or unions ('union').

shape

geometric shape used in the diagram

control

a list of control parameters.

  • extraopt: should the more thorough optimizer (currently GenSA::GenSA()) kick in (provided extraopt_threshold is exceeded)? The default is TRUE for ellipses and three sets and FALSE otherwise.

  • extraopt_threshold: threshold, in terms of diagError, for when the extra optimizer kicks in. This will almost always slow down the process considerably. A value of 0 means that the extra optimizer will kick in if there is any error. A value of 1 means that it will never kick in. The default is 0.001.

  • extraopt_control: a list of control parameters to pass to the extra optimizer, such as max.call. See GenSA::GenSA().

weights

a numeric vector of weights of the same length as the number of rows in combinations.

by

a factor or character matrix to be used in base::by() to split the data.frame or matrix of set combinations

sep

a character to use to separate the dummy-coded factors if there are factor or character vectors in 'combinations'.

factor_names

whether to include factor names when constructing dummy codes

Details

If the input is a matrix or data frame and argument by is specified, the function returns a list of euler diagrams.

The function minimizes the residual sums of squares,

∑ (A_i - ω_i)^2,

where ω_i the size of the ith disjoint subset, and A_i the corresponding area in the diagram, that is, the unique contribution to the total area from this overlap.

euler() also returns stress (from venneuler), as well as diagError, and regionError from eulerAPE.

The stress statistic is computed as

∑ (A_i - βω_i)^2 / ∑ A_i^2,

where

β = ∑ A_iω_i / ∑ ω_i^2.

regionError is computed as

max|A_i / ∑ A - ω_i / ∑ ω|.

diagError is simply the maximum of regionError.

Value

A list object of class 'euler' with the following parameters.

ellipses

a matrix of h and k (x and y-coordinates for the centers of the shapes), semiaxes a and b, and rotation angle phi

original.values

set relationships in the input

fitted.values

set relationships in the solution

residuals

residuals

regionError

the difference in percentage points between each disjoint subset in the input and the respective area in the output

diagError

the largest regionError

stress

normalized residual sums of squares

Methods (by class)

References

Wilkinson L. Exact and Approximate Area-Proportional Circular Venn and Euler Diagrams. IEEE Transactions on Visualization and Computer Graphics (Internet). 2012 Feb (cited 2016 Apr 9);18(2):321-31. Available from: doi: 10.1109/TVCG.2011.56

Micallef L, Rodgers P. eulerAPE: Drawing Area-Proportional 3-Venn Diagrams Using Ellipses. PLOS ONE (Internet). 2014 Jul (cited 2016 Dec 10);9(7):e101717. Available from: doi: 10.1371/journal.pone.0101717

See Also

plot.euler(), print.euler(), eulerr_options(), venn()

Examples

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
# Fit a diagram with circles
combo <- c(A = 2, B = 2, C = 2, "A&B" = 1, "A&C" = 1, "B&C" = 1)
fit1 <- euler(combo)

# Investigate the fit
fit1

# Refit using ellipses instead
fit2 <- euler(combo, shape = "ellipse")

# Investigate the fit again (which is now exact)
fit2

# Plot it
plot(fit2)

# A set with no perfect solution
euler(c("a" = 3491, "b" = 3409, "c" = 3503,
        "a&b" = 120, "a&c" = 114, "b&c" = 132,
        "a&b&c" = 50))


# Using grouping via the 'by' argument through the data.frame method
euler(fruits, by = list(sex, age))


# Using the matrix method
euler(organisms)

# Using weights
euler(organisms, weights = c(10, 20, 5, 4, 8, 9, 2))

# The table method
euler(pain, factor_names = FALSE)

# A euler diagram from a list of sample spaces (the list method)
euler(plants[c("erigenia", "solanum", "cynodon")])

eulerr documentation built on Sept. 6, 2021, 5:09 p.m.