code: def test_statistics_for_1d_input(self):
      x = np.array(range(1, 21), dtype=float)
      y = x + np.log(x)
  
      stats = ddm.distance_statistics(x, y)
  
      # Values were obtained using the R `energy` package
      assert_almost_equal(stats.test_statistic, 398.94623, 5)
      assert_almost_equal(stats.distance_correlation, 0.9996107, 4)
      assert_almost_equal(stats.distance_covariance, 4.4662414, 4)
      assert_almost_equal(stats.dvar_x, 4.2294799, 4)
      assert_almost_equal(stats.dvar_y, 4.7199304, 4)
      assert_almost_equal(stats.S, 49.880200, 4)
  
imports: import numpy
  from numpy.testing import assert_almost_equal
  import pytest
  from statsmodels.datasets import get_rdataset
  from statsmodels.datasets.tests.test_utils import IGNORED_EXCEPTIONS
  import statsmodels.stats.dist_dependence_measures
  from statsmodels.tools.sm_exceptions import HypothesisTestWarning
label_desc: Use image node_id 8 for calling the TestDistDependenceMeasures obj's underlying member method code with example usage: obj.test_statistics_for_1d_input() without return types