Statistics of an interval-valued variable

The interval-valued counterparts of the ordinary summaries: a mean, a variance and a Gini coefficient computed from (lower, upper) pairs rather than from points. Each is reported as bounds, because an interval variable does not have a single value for these either.

Usage

tda_imean(formula, data, options = list(), dir = tempfile("tda"), ...)

tda_ivariance(
  formula,
  data,
  max_boxes = NULL,
  max_iter = NULL,
  tol_width = NULL,
  tol_fd = NULL,
  tol_fe = NULL,
  options = list(),
  dir = tempfile("tda"),
  ...
)

tda_igini(
  formula,
  data,
  x = NULL,
  options = list(),
  dir = tempfile("tda"),
  ...
)

Arguments

formula

a one-sided formula naming one interval-valued variable, ~ iv(lo, hi).

data

a data frame.

options

a named list of further TDA options, passed through.

dir

working directory.

...

passed to tda_run.

max_boxes, max_iter, tol_width, tol_fd, tol_fe

for tda_ivariance only, the branch-and-bound search's limits and tolerances (nbox=/mxit=/tolbw=/ tolfd=/tolfe=). tda_imean and tda_igini take no such options.

x

for tda_igini, the points at which the Lorenz curve is evaluated.

Value

An object carrying the bounds in $bounds, and the run.

See also

Other interval-valued data: tda_bounds(), tda_idf(), tda_ilsreg(), tda_imreg(), tda_inpreg(), tda_ivar1(), tda_ivreg(), tda_sddf()

Examples

d <- data.frame(lo = c(1, 3, 5, 9), hi = c(2, 4, 8, 12))
tda_imean(~ iv(lo, hi), d)
#> Call: tda_imean(~iv(lo, hi), d)
#> 
#> Cases: 4 
#> Bounds: [4.5, 6.5]
tda_ivariance(~ iv(lo, hi), d)
#> Call: tda_ivariance(~iv(lo, hi), d)
#> 
#> Cases: 4 
#> Bounds: [6.5, 18.5]
tda_igini(~ iv(lo, hi), d)
#> Call: tda_igini(formula = ~iv(lo, hi), data = d)
#> 
#> Cases: 4 
#> 
#>    x lower upper
#>  1.0     0     0
#>  1.1     0     0
#>  1.2     0     0
#>  1.3     0     0
#>  1.4     0     0
#>  1.5     0     0
#>  1.6     0     0
#>  1.7     0     0
#>  1.8     0     0
#>  1.9     0     0
#>  2.0     1     1