sciPy stats.tvar() function | Python

scipy.stats.tvar(array, limits=None, inclusive=(1, 1)) function calculates the trimmed variance of the array elements along with ignoring the values lying outside the specified limits.

It’s formula –

Parameters :
array: Input array or object having the elements to calculate the trimmed variance.
limits: Lower and upper bound of the array to consider, values less than the lower limit or greater than the upper limit will be ignored. If limits is None [default], then all values are used.
inclusive: Decide whether to include the values equal to lower or upper bound, or to exclude them while calculation.

Returns : Trimmed variance of the array elements based on the set parameters.

Code #1:

# Trimmed Variance

from scipy import stats
import numpy as np

# array elements ranging from 0 to 19
x = np.arange(20)

print("Trimmed Variance :", stats.tvar(x))


print("\nTrimmed Variance by setting limit : ",
      stats.tvar(x, (2, 10)))

Output:

Trimmed Variance : 35.0

Trimmed Variance by setting limit :  7.5

Code #2: Checking “inclusive” flags

# Trimmed Variance

from scipy import stats
import numpy as np

# array elements ranging from 0 to 19
x = np.arange(20)

# Setting limits
print("\nTrimmed Variance by setting limit : ",
      stats.tvar(x, (2, 10)))

# using flag
print("\nTrimmed Variance by setting limit : ",
      stats.tvar(x, (2, 10), (False, True)))

print("\nTrimmed Variance by setting limit : ",
      stats.tvar(x, (2, 12), (True, False)))

Output:

Trimmed Variance by setting limit :  7.5

Trimmed Variance by setting limit :  6.0

Trimmed Variance by setting limit :  9.16666666667