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52 lines
1.1 KiB
Markdown
52 lines
1.1 KiB
Markdown
# Kurtosis of the Sample
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Kurtosis is a measure of the "tailedness" of the probability
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distribution of a real-valued random variable. A normal distribution has
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a kurtosis of 3 and a excess kurtosis of 0.
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## Usage
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``` r
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kurtosis(x, na.rm = FALSE, excess = FALSE)
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# Default S3 method
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kurtosis(x, na.rm = FALSE, excess = FALSE)
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# S3 method for class 'matrix'
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kurtosis(x, na.rm = FALSE, excess = FALSE)
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# S3 method for class 'data.frame'
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kurtosis(x, na.rm = FALSE, excess = FALSE)
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```
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## Arguments
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- x:
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A vector of values, a [matrix](https://rdrr.io/r/base/matrix.html) or
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a [data.frame](https://rdrr.io/r/base/data.frame.html).
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- na.rm:
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A [logical](https://rdrr.io/r/base/logical.html) to indicate whether
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`NA` values should be stripped before the computation proceeds.
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- excess:
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A [logical](https://rdrr.io/r/base/logical.html) to indicate whether
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the *excess kurtosis* should be returned, defined as the kurtosis
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minus 3.
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## See also
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[`skewness()`](https://amr-for-r.org/reference/skewness.md)
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## Examples
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``` r
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kurtosis(rnorm(10000))
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#> [1] 3.071712
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kurtosis(rnorm(10000), excess = TRUE)
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#> [1] -0.02774835
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```
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