How to Compute Raw and Central Moments Using R
In this article, we are going to compute raw and central moments using R Programming Language. The moments of data used to describe the nature of the dataset are Variation, Skewness, and Kurtosis.
- Raw Moments – The moments about zero distribution are known as Raw moments.
- Central Moments – The moments about the mean of distribution are known as Central Moments.
Using R we can easily find the raw moments with the predefined package “moments”
In a moment’s package, we have all.moments() function which is used to calculate raw moments and central moments.
- x: a numeric vector of data
- order.max: the maximum order of the moments to be computed (default value is 2).
- Central: a logical value (FALSE for raw moments or TRUE for central moments)
Below is the implementation:
If we observe the above R code to calculate central moments we need to make sure the third attribute of all.moments() function should be set to True because by default it’s False.
μ′0 = 1.0
μ′1 = 92.0
μ′2 = 8487.8
μ1 = 1.0
μ2 = 0.0
μ3 = 23.8
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