Wolfram Function Repository

Instant-use add-on functions for the Wolfram Language

Function Repository Resource:

 EllipsoidQuartiles

Source Notebook

Find the ellipsoidal loci of the quartiles of matrix

Contributed by: Wolfram Research

ResourceFunction["EllipsoidQuartiles"][matrix]

gives the ellipsoidal loci of the quartiles of matrix.

Details and Options

ResourceFunction["EllipsoidQuartiles"][matrix] gives a list of the loci of the .25, .5 and .75 quantiles of matrix.
ResourceFunction["EllipsoidQuartiles"][matrix] returns a list of Ellipsoid objects centered at Mean[matrix].
The semi-axes' radii are scaled to contain the fractions .25, .5 and .75 of the sample space.
ResourceFunction["EllipsoidQuartiles"][{x1,…,xn}] is equivalent to EllipsoidQuantile[{x1,…,xn},{.25,.5,.75}].

Examples

Basic Examples (1) 

Ellipsoidal quartiles for bivariate data:

In[1]:=
ResourceFunction[ "EllipsoidQuartiles"][{{1, 3}, {2, 4}, {5, 6}, {7, 8}, {9, 10}}]
Out[1]=

Applications (1) 

Visualize ellipsoidal quartiles for bivariate data:

In[2]:=
Graphics[ResourceFunction[ "EllipsoidQuartiles"][{{1, 3}, {4, 4}, {5, 6}, {5, 15}, {20, 10}}]]
Out[2]=

Requirements

Wolfram Language 11.3 (March 2018) or above

Version History

  • 1.0.0 – 20 February 2019

Related Resources

License Information