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EllipsoidQuartiles

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Source Notebook

Find the ellipsoidal loci of the quartiles of matrix

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

Ellipsoidal quartiles for bivariate data:

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

Applications

Visualize ellipsoidal quartiles for bivariate data:

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

Resource History

See Also