interval_shape: Distribution Shape Measures for Interval Data

In dataSDA: Datasets and Basic Statistics for Symbolic Data Analysis

Distribution Shape Measures for Interval Data

Description

Functions to compute shape statistics (skewness, kurtosis) for interval-valued data.

Usage

int_skewness(x, var_name, method = "CM", ...)

int_kurtosis(x, var_name, method = "CM", ...)

int_symmetry(x, var_name, method = "CM", ...)

int_tailedness(x, var_name, method = "CM", ...)

Arguments

x	interval-valued data with symbolic_tbl class.
var_name	the variable name or the column location (multiple variables are allowed).
method	methods to calculate statistics: CM (default), VM, QM, SE, FV, EJD, GQ, SPT.
...	additional parameters

Details

These functions measure distribution shape:

• int_skewness: Measure of asymmetry (skewness)

• int_kurtosis: Measure of tail heaviness (kurtosis)

• int_symmetry: Symmetry coefficient

• int_tailedness: Tailedness measure (alias for excess kurtosis)

Skewness interpretation:

• = 0: Symmetric distribution

• > 0: Right-skewed (positive skew)

• < 0: Left-skewed (negative skew)

Kurtosis interpretation (excess kurtosis):

• = 0: Normal distribution (mesokurtic)

• > 0: Heavy tails (leptokurtic)

• < 0: Light tails (platykurtic)

Value

A numeric matrix

Author(s)

Han-Ming Wu

See Also

int_mean int_var int_skewness int_kurtosis

Examples

data(mushroom.int)

# Calculate skewness
int_skewness(mushroom.int, var_name = "Pileus.Cap.Width")
int_skewness(mushroom.int, var_name = 2:3, method = c("CM", "EJD"))

# Calculate kurtosis
int_kurtosis(mushroom.int, var_name = c("Stipe.Length", "Stipe.Thickness"))

# Check symmetry
int_symmetry(mushroom.int, var_name = 2:4, method = "CM")

# Check tailedness
int_tailedness(mushroom.int, var_name = "Pileus.Cap.Width", method = "CM")

dataSDA documentation built on June 12, 2026, 9:06 a.m.