MultivariateStatistics`
MultivariateStatistics`

# EllipsoidQuartiles

EllipsoidQuartiles[matrix]

gives the ellipsoidal loci of the quartiles of matrix.

# Details and Options

• To use EllipsoidQuartiles, you first need to load the Multivariate Statistics Package using Needs["MultivariateStatistics`"].
• EllipsoidQuartiles[matrix] gives a list of the loci of the .25, .5, and .75 quantiles of matrix.
• 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.
• EllipsoidQuartiles[{x1,,xn}] is equivalent to EllipsoidQuantile[{x1,,xn},{.25,.5,.75}].

# Examples

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## Basic Examples(1)

Ellipsoidal quartiles for bivariate data:

## Applications(1)

Visualize ellipsoidal quartiles for bivariate data:

Wolfram Research (2007), EllipsoidQuartiles, Wolfram Language function, https://reference.wolfram.com/language/MultivariateStatistics/ref/EllipsoidQuartiles.html.

#### Text

Wolfram Research (2007), EllipsoidQuartiles, Wolfram Language function, https://reference.wolfram.com/language/MultivariateStatistics/ref/EllipsoidQuartiles.html.

#### CMS

Wolfram Language. 2007. "EllipsoidQuartiles." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/MultivariateStatistics/ref/EllipsoidQuartiles.html.

#### APA

Wolfram Language. (2007). EllipsoidQuartiles. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/MultivariateStatistics/ref/EllipsoidQuartiles.html

#### BibTeX

@misc{reference.wolfram_2024_ellipsoidquartiles, author="Wolfram Research", title="{EllipsoidQuartiles}", year="2007", howpublished="\url{https://reference.wolfram.com/language/MultivariateStatistics/ref/EllipsoidQuartiles.html}", note=[Accessed: 16-July-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_ellipsoidquartiles, organization={Wolfram Research}, title={EllipsoidQuartiles}, year={2007}, url={https://reference.wolfram.com/language/MultivariateStatistics/ref/EllipsoidQuartiles.html}, note=[Accessed: 16-July-2024 ]}