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Standardized

is an option that determines whether to standardize the data.

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Standardized

Standardized

is an option that determines whether to standardize the data.

Details

  • Different functions may standardize input or output to ensure specific properties by scaling and shifting.

Examples

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Basic Examples  (1)

A standardized Gaussian vector sums to 1:

Wolfram Language code: GaussianMatrix[{{15}}, Standardized -> True]//Total

A Gaussian vector without scaling and shifting:

Wolfram Language code: GaussianMatrix[{{15}}, Standardized -> False]//Total

Comparison plot of Gaussian vectors with and without standardization:

Wolfram Language code: {g1, g2} = GaussianMatrix[{{15}}, Standardized -> #]& /@ {True, False};
Wolfram Language code: ListLinePlot[{g1, g2}, PlotLegends -> {"standardized", "not standardized"}]

Scope  (1)

KarhunenLoeveDecomposition with Standardized->True shifts outputs to have zero means:

Wolfram Language code: First@KarhunenLoeveDecomposition[{{1, 2, 3, 4}, {0.8, 2.1, 3.2, 3.9}}, Standardized -> True]
Wolfram Language code: Chop[Mean /@ %]

Results without shifting:

Wolfram Language code: First@KarhunenLoeveDecomposition[{{1, 2, 3, 4}, {0.8, 2.1, 3.2, 3.9}}, Standardized -> False]
Wolfram Language code: Chop[Mean /@ %]
Wolfram Research (2015), Standardized, Wolfram Language function, https://reference.wolfram.com/language/ref/Standardized.html.

Text

Wolfram Research (2015), Standardized, Wolfram Language function, https://reference.wolfram.com/language/ref/Standardized.html.

CMS

Wolfram Language. 2015. "Standardized." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Standardized.html.

APA

Wolfram Language. (2015). Standardized. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Standardized.html

BibTeX

@misc{reference.wolfram_2026_standardized, author="Wolfram Research", title="{Standardized}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/Standardized.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_standardized, organization={Wolfram Research}, title={Standardized}, year={2015}, url={https://reference.wolfram.com/language/ref/Standardized.html}, note=[Accessed: 13-June-2026]}