# scipy stats.kurtosistest() function | Python

scipy.stats.kurtosistest(array, axis=0) function test whether the given data set has normal kurtosis (Fisher or Pearson) or not. What is Kurtosis ? It is the fourth central moment divided by the square of the variance. It is a measure of the “tailedness” i.e. descriptor of shape of probability distribution of a real-valued random variable. In simple terms, one can say it is a measure of how heavy tail is compared to a normal distribution. Its formula –
Parameters : array : Input array or object having the elements. axis : Axis along which the kurtosistest is to be computed. By default axis = 0. Returns : Z-score (Statistics value) and P-value for the normally distributed data set.
Code #1:
 # Graph using numpy.linspace()  # finding kurtosis   from scipy.stats import kurtosistest import numpy as np  import pylab as p    x1 = np.linspace( -5, 5, 1000 ) y1 = 1./(np.sqrt(2.*np.pi)) * np.exp( -.5*(x1)**2  )   p.plot(x1, y1, '*')     print( '\nKurtosis for normal distribution :\n', kurtosistest(y1))

Output :

Kurtosis for normal distribution :
KurtosistestResult(statistic=-2.2557936070461615, pvalue=0.024083559905734513)

Previous
Next