statsmodels.stats.stattools.jarque_bera¶
-
statsmodels.stats.stattools.
jarque_bera
(resids, axis=0)[source]¶ Calculates the Jarque-Bera test for normality
- Parameters
- residsarray_like
Data to test for normality. Usually regression model residuals that are mean 0.
- axis
int
,optional
Axis to use if data has more than 1 dimension. Default is 0.
- Returns
Notes
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.