code: def test_direct_corr_matrix():
      # Test specifying the correlation matrix directly
      mod = Factor(
          None,
          2,
          corr=np.corrcoef(X.iloc[:, 1:-1], rowvar=0),
          smc=False,
      )
      results = mod.fit(tol=1e-10)
      a = np.array(
          [
              [0.965392158864, 0.225880658666255],
              [0.967587154301, 0.212758741910989],
              [0.929891035996, -0.000603217967568],
              [0.486822656362, -0.869649573289374],
          ]
      )
      assert_array_almost_equal(results.loadings, a, decimal=8)
      # Test set and get endog_names
      mod.endog_names = X.iloc[:, 1:-1].columns
      assert_array_equal(mod.endog_names, ["Basal", "Occ", "Max", "id"])
  
      # Test set endog_names with the wrong number of elements
      assert_raises(
          ValueError, setattr, mod, "endog_names", X.iloc[:, :1].columns
      )
  
file_path: statsmodels/statsmodels/multivariate/tests/test_factor.py
imports: import warnings
  from statsmodels.compat.pandas import PD_LT_1_4
  import os
  import numpy
  import pandas
  from statsmodels.multivariate.factor import Factor
  from numpy.testing import assert_equal, assert_array_almost_equal, assert_, assert_raises, assert_array_equal, assert_array_less, assert_allclose
  import pytest
label_desc: Use image node_id 2 for calling a global function with example usage: test_direct_corr_matrix() without return types