`scipy.stats._stats_py:jarque_bera`

source: build-install/usr/lib/python3.14/site-packages/scipy/stats/_stats_py.py:1876

Signature

def jarque_bera(x, *, axis = None, nan_policy = propagate, keepdims = False)

Summary

Perform the Jarque-Bera goodness of fit test on sample data.

Extended Summary

The Jarque-Bera test tests whether the sample data has the skewness and kurtosis matching a normal distribution.

Note that this test only works for a large enough number of data samples (>2000) as the test statistic asymptotically has a Chi-squared distribution with 2 degrees of freedom.

Parameters

x : array_like

Observations of a random variable.

axis : int or None, default: None

If an int, the axis of the input along which to compute the statistic. The statistic of each axis-slice (e.g. row) of the input will appear in a corresponding element of the output. If None, the input will be raveled before computing the statistic.

nan_policy : {'propagate', 'omit', 'raise'}

Defines how to handle input NaNs.

propagate: if a NaN is present in the axis slice (e.g. row) along which the statistic is computed, the corresponding entry of the output will be NaN.
omit: NaNs will be omitted when performing the calculation. If insufficient data remains in the axis slice along which the statistic is computed, the corresponding entry of the output will be NaN.
raise: if a NaN is present, a ValueError will be raised.

nan_policy='raise' and nan_policy='omit' are not supported by lazy backends, and nan_policy='omit' is not compatible with MArray input. For multidimensional input, nan_policy='omit' is supported only by the NumPy backend. Instead, mask NaN values using MArray; and use the default nan_policy. See Notes for support information.

keepdims : bool, default: False

If this is set to True, the axes which are reduced are left in the result as dimensions with size one. With this option, the result will broadcast correctly against the input array.

Returns

result : SignificanceResult

An object with the following attributes:

statistic: The test statistic.
pvalue: The p-value for the hypothesis test.

Notes

Beginning in SciPy 1.9, np.matrix inputs (not recommended for new code) are converted to np.ndarray before the calculation is performed. In this case, the output will be a scalar or np.ndarray of appropriate shape rather than a 2D np.matrix. Similarly, while masked elements of masked arrays are ignored, the output will be a scalar or np.ndarray rather than a masked array with mask=False.

Examples

import numpy as np
from scipy import stats
rng = np.random.default_rng()
x = rng.normal(0, 1, 100000)
jarque_bera_test = stats.jarque_bera(x)

✓

jarque_bera_test
jarque_bera_test.statistic
jarque_bera_test.pvalue

✗

np.float64(0.41853263463202117)

For a more detailed example, see :ref:`hypothesis_jarque_bera`.

Aliases

scipy.stats.jarque_bera