statsmodels.stats.stattools.jarque_bera(resids, axis=0)[source]

Calculates the Jarque-Bera test for normality

  • data (array-like) – Data to test for normality

  • axis (int, optional) – Axis to use if data has more than 1 dimension. Default is 0


  • JB (float or array) – The Jarque-Bera test statistic

  • JBpv (float or array) – The pvalue of the test statistic

  • skew (float or array) – Estimated skewness of the data

  • kurtosis (float or array) – Estimated kurtosis of the data


Each output returned has 1 dimension fewer than data

The Jarque-Bera test statistic tests the null that the data is normally distributed against an alternative that the data follow some other distribution. The test statistic is based on two moments of the data, the skewness, and the kurtosis, and has an asymptotic \(\chi^2_2\) distribution.

The test statistic is defined

\[JB = n(S^2/6+(K-3)^2/24)\]

where n is the number of data points, S is the sample skewness, and K is the sample kurtosis of the data.