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THE FEUTEX TOOLKIT

Jarque–Bera Normality Statistic

Calculate an asymptotic normality statistic from sample size, skewness, and raw kurtosis.

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01 Your input
02 Your result
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FormulaStatistic = n*(s**2+(k-3)**2/4)/6; Asymptotic P = exp(-n*(s**2+(k-3)**2/4)/12)
Sources and model references

Made for real tasks

  • Calculate an asymptotic normality statistic from sample size, skewness, and raw kurtosis.
Explore step-by-step workflows →

Worked example

Inputs

Sample size
100 count
Sample skewness
0.5 number
Raw kurtosis
4 number

Expected results

Statistic
8.333333333 number
Asymptotic P
0.0155038536 probability

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter sample size, sample skewness, raw kurtosis.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "n": 100,
  "s": 0.5,
  "k": 4
}

Accuracy and scope

Uses raw kurtosis where normal=3, not excess kurtosis. Chi-square(2) p-value is asymptotic and can be inaccurate in small samples.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.