# RussellRaoDissimilarity

gives the RussellRao dissimilarity between Boolean vectors u and v.

# Details

• RussellRaoDissimilarity works for both True, False vectors and 0, 1 vectors.
• is equivalent to (n10+n01+n00)/Length[u], where is the number of corresponding pairs of elements in u and v respectively equal to i and j.

# Examples

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## Basic Examples(2)

RussellRao dissimilarity between two Boolean vectors:

The elements can also be True and False:

## Scope(2)

Compute dissimilarity between any 0, 1 vectors of equal length:

Compute dissimilarity between any True, False vectors of equal length:

## Properties & Relations(4)

RussellRao dissimilarity is bounded by 0 and 1:

RussellRaoDissimilarity is greater than or equal to JaccardDissimilarity:

RussellRaoDissimilarity is greater than or equal to MatchingDissimilarity:

RussellRaoDissimilarity is greater than or equal to DiceDissimilarity:

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

#### Text

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

#### CMS

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

#### APA

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

#### BibTeX

@misc{reference.wolfram_2023_russellraodissimilarity, author="Wolfram Research", title="{RussellRaoDissimilarity}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html}", note=[Accessed: 29-September-2023 ]}

#### BibLaTeX

@online{reference.wolfram_2023_russellraodissimilarity, organization={Wolfram Research}, title={RussellRaoDissimilarity}, year={2007}, url={https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html}, note=[Accessed: 29-September-2023 ]}