Distance based on side by side Boxplots

Assuming that data set X consists of a categorical group variable a numeric value, a summary of the first quartile, median and third quartile of this value is calculated for each group. The extent (as absolute difference) of the minimum and maximum value across groups is computed for first quartile, median and third quartile. Same is done for data PX. Finally an euclidean distance is calculated between the absolute differences of X and PX.

box_dist(X, PX)

Arguments

X	a data.frame with one factor variable and one continuous variable
PX	a data.frame with one factor variable and one continuous variable

Value

distance between X and PX

Examples

if(require('dplyr')) {
  with(mtcars,
    box_dist(data.frame(as.factor(am), mpg),
    data.frame(as.factor(sample(am)), mpg))
  )
}
#> Loading required package: dplyr
#> 
#> Attaching package: ‘dplyr’
#> The following objects are masked from ‘package:stats’:
#> 
#>     filter, lag
#> The following objects are masked from ‘package:base’:
#> 
#>     intersect, setdiff, setequal, union
#> [1] 11.48695