What is Factor Rotation in the StatsModels library?

This recipe describes what is Factor Rotation in the StatsModels library

Recipe Objective - What is Factor Rotation the StatsModels library?

It belongs to a class statsmodels.multivariate.factor_rotation.rotate_factors(A, method, method_args, *algorithm_kwargs).

It is used to perform orthogonal and oblique rotation of the matrix.

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Example:

# Importing libraries
import numpy as np
from statsmodels.multivariate.factor_rotation import rotate_factors

# Creating array of size 4x2
X = np.random.randn(4,2)
print("Array => \n", X)

# Applying Factor Rotation
L, T = rotate_factors(X, method="varimax")
print("L => \n", L)
print("T => \n", T)

Output-
Array => 
 [[ 0.98220075  0.41314735]
 [ 0.82734081 -1.40421525]
 [-1.19399024  1.20806754]
 [ 0.30624791  0.12228724]]
L => 
 [[ 1.04257752 -0.2200935 ]
 [-0.12015386 -1.62538498]
 [-0.29291966  1.67309233]
 [ 0.32135204 -0.07399199]]
T => 
 [[ 0.82180901 -0.56976307]
 [ 0.56976307  0.82180901]]

In this way, we can perform factor rotation in the statsmodels library.

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