code: def test_categories_none_comparisons(self):
      factor = Categorical(
          ["a", "b", "b", "a", "a", "c", "c", "c"], ordered=True
      )
      tm.assert_categorical_equal(factor, factor)
  
imports: import numpy
  import pytest
  import pandas
  from pandas import Categorical, DataFrame, Series, Timestamp, date_range
  import pandas._testing
label_desc: Use image node_id 1 for calling the TestCategoricalOpsWithFactor obj's underlying member method code with example usage: obj.test_categories_none_comparisons() without return types