diff --git a/pandas/compat/numpy/function.py b/pandas/compat/numpy/function.py
index d7a14c28cc9ca..5f627aeade47c 100644
--- a/pandas/compat/numpy/function.py
+++ b/pandas/compat/numpy/function.py
@@ -21,7 +21,7 @@
 from distutils.version import LooseVersion
 from typing import Any, Dict, Optional, Union
 
-from numpy import __version__ as _np_version, ndarray
+from numpy import __version__, ndarray
 
 from pandas._libs.lib import is_bool, is_integer
 from pandas.errors import UnsupportedFunctionCall
@@ -122,7 +122,7 @@ def validate_argmax_with_skipna(skipna, args, kwargs):
 ARGSORT_DEFAULTS["kind"] = "quicksort"
 ARGSORT_DEFAULTS["order"] = None
 
-if LooseVersion(_np_version) >= LooseVersion("1.17.0"):
+if LooseVersion(__version__) >= LooseVersion("1.17.0"):
     # GH-26361. NumPy added radix sort and changed default to None.
     ARGSORT_DEFAULTS["kind"] = None
 
diff --git a/pandas/core/algorithms.py b/pandas/core/algorithms.py
index 57e63daff29e4..872c51c7dfa75 100644
--- a/pandas/core/algorithms.py
+++ b/pandas/core/algorithms.py
@@ -262,7 +262,7 @@ def _get_values_for_rank(values):
     return values
 
 
-def _get_data_algo(values):
+def get_data_algo(values):
     values = _get_values_for_rank(values)
 
     ndtype = _check_object_for_strings(values)
@@ -491,7 +491,7 @@ def factorize_array(
     codes : ndarray
     uniques : ndarray
     """
-    hash_klass, values = _get_data_algo(values)
+    hash_klass, values = get_data_algo(values)
 
     table = hash_klass(size_hint or len(values))
     uniques, codes = table.factorize(
@@ -2086,7 +2086,7 @@ def sort_mixed(values):
 
     if sorter is None:
         # mixed types
-        hash_klass, values = _get_data_algo(values)
+        hash_klass, values = get_data_algo(values)
         t = hash_klass(len(values))
         t.map_locations(values)
         sorter = ensure_platform_int(t.lookup(ordered))
diff --git a/pandas/core/arrays/categorical.py b/pandas/core/arrays/categorical.py
index 81f9456502bf0..e73a1404c6434 100644
--- a/pandas/core/arrays/categorical.py
+++ b/pandas/core/arrays/categorical.py
@@ -43,7 +43,7 @@
 from pandas.core import ops
 from pandas.core.accessor import PandasDelegate, delegate_names
 import pandas.core.algorithms as algorithms
-from pandas.core.algorithms import _get_data_algo, factorize, take_1d, unique1d
+from pandas.core.algorithms import factorize, get_data_algo, take_1d, unique1d
 from pandas.core.arrays._mixins import NDArrayBackedExtensionArray
 from pandas.core.base import ExtensionArray, NoNewAttributesMixin, PandasObject
 import pandas.core.common as com
@@ -2531,8 +2531,8 @@ def _get_codes_for_values(values, categories):
 
     # Only hit here when we've already coerced to object dtypee.
 
-    hash_klass, vals = _get_data_algo(values)
-    _, cats = _get_data_algo(categories)
+    hash_klass, vals = get_data_algo(values)
+    _, cats = get_data_algo(categories)
     t = hash_klass(len(cats))
     t.map_locations(cats)
     return coerce_indexer_dtype(t.lookup(vals), cats)
diff --git a/pandas/core/ops/__init__.py b/pandas/core/ops/__init__.py
index 8fcbee6a20ac3..6763db1e2b138 100644
--- a/pandas/core/ops/__init__.py
+++ b/pandas/core/ops/__init__.py
@@ -324,12 +324,12 @@ def _align_method_SERIES(left: "Series", right, align_asobject: bool = False):
     return left, right
 
 
-def _arith_method_SERIES(cls, op, special):
+def arith_method_SERIES(cls, op, special):
     """
     Wrapper function for Series arithmetic operations, to avoid
     code duplication.
     """
-    assert special  # non-special uses _flex_method_SERIES
+    assert special  # non-special uses flex_method_SERIES
     op_name = _get_op_name(op, special)
 
     @unpack_zerodim_and_defer(op_name)
@@ -348,12 +348,12 @@ def wrapper(left, right):
     return wrapper
 
 
-def _comp_method_SERIES(cls, op, special):
+def comp_method_SERIES(cls, op, special):
     """
     Wrapper function for Series arithmetic operations, to avoid
     code duplication.
     """
-    assert special  # non-special uses _flex_method_SERIES
+    assert special  # non-special uses flex_method_SERIES
     op_name = _get_op_name(op, special)
 
     @unpack_zerodim_and_defer(op_name)
@@ -375,12 +375,12 @@ def wrapper(self, other):
     return wrapper
 
 
-def _bool_method_SERIES(cls, op, special):
+def bool_method_SERIES(cls, op, special):
     """
     Wrapper function for Series arithmetic operations, to avoid
     code duplication.
     """
-    assert special  # non-special uses _flex_method_SERIES
+    assert special  # non-special uses flex_method_SERIES
     op_name = _get_op_name(op, special)
 
     @unpack_zerodim_and_defer(op_name)
@@ -398,7 +398,7 @@ def wrapper(self, other):
     return wrapper
 
 
-def _flex_method_SERIES(cls, op, special):
+def flex_method_SERIES(cls, op, special):
     assert not special  # "special" also means "not flex"
     name = _get_op_name(op, special)
     doc = _make_flex_doc(name, "series")
@@ -614,7 +614,7 @@ def _maybe_align_series_as_frame(frame: "DataFrame", series: "Series", axis: int
     return type(frame)(rvalues, index=frame.index, columns=frame.columns)
 
 
-def _arith_method_FRAME(cls: Type["DataFrame"], op, special: bool):
+def arith_method_FRAME(cls: Type["DataFrame"], op, special: bool):
     # This is the only function where `special` can be either True or False
     op_name = _get_op_name(op, special)
     default_axis = _get_frame_op_default_axis(op_name)
@@ -666,7 +666,7 @@ def f(self, other, axis=default_axis, level=None, fill_value=None):
     return f
 
 
-def _flex_comp_method_FRAME(cls: Type["DataFrame"], op, special: bool):
+def flex_comp_method_FRAME(cls: Type["DataFrame"], op, special: bool):
     assert not special  # "special" also means "not flex"
     op_name = _get_op_name(op, special)
     default_axis = _get_frame_op_default_axis(op_name)
@@ -690,7 +690,7 @@ def f(self, other, axis=default_axis, level=None):
     return f
 
 
-def _comp_method_FRAME(cls: Type["DataFrame"], op, special: bool):
+def comp_method_FRAME(cls: Type["DataFrame"], op, special: bool):
     assert special  # "special" also means "not flex"
     op_name = _get_op_name(op, special)
 
diff --git a/pandas/core/ops/methods.py b/pandas/core/ops/methods.py
index a4694a6e5134f..e04db92b58c36 100644
--- a/pandas/core/ops/methods.py
+++ b/pandas/core/ops/methods.py
@@ -44,28 +44,28 @@ def _get_method_wrappers(cls):
     # TODO: make these non-runtime imports once the relevant functions
     #  are no longer in __init__
     from pandas.core.ops import (
-        _arith_method_FRAME,
-        _arith_method_SERIES,
-        _bool_method_SERIES,
-        _comp_method_FRAME,
-        _comp_method_SERIES,
-        _flex_comp_method_FRAME,
-        _flex_method_SERIES,
+        arith_method_FRAME,
+        arith_method_SERIES,
+        bool_method_SERIES,
+        comp_method_FRAME,
+        comp_method_SERIES,
+        flex_comp_method_FRAME,
+        flex_method_SERIES,
     )
 
     if issubclass(cls, ABCSeries):
         # Just Series
-        arith_flex = _flex_method_SERIES
-        comp_flex = _flex_method_SERIES
-        arith_special = _arith_method_SERIES
-        comp_special = _comp_method_SERIES
-        bool_special = _bool_method_SERIES
+        arith_flex = flex_method_SERIES
+        comp_flex = flex_method_SERIES
+        arith_special = arith_method_SERIES
+        comp_special = comp_method_SERIES
+        bool_special = bool_method_SERIES
     elif issubclass(cls, ABCDataFrame):
-        arith_flex = _arith_method_FRAME
-        comp_flex = _flex_comp_method_FRAME
-        arith_special = _arith_method_FRAME
-        comp_special = _comp_method_FRAME
-        bool_special = _arith_method_FRAME
+        arith_flex = arith_method_FRAME
+        comp_flex = flex_comp_method_FRAME
+        arith_special = arith_method_FRAME
+        comp_special = comp_method_FRAME
+        bool_special = arith_method_FRAME
     return arith_flex, comp_flex, arith_special, comp_special, bool_special
 
 
diff --git a/pandas/io/excel/__init__.py b/pandas/io/excel/__init__.py
index d035223957a76..3bad493dee388 100644
--- a/pandas/io/excel/__init__.py
+++ b/pandas/io/excel/__init__.py
@@ -1,9 +1,9 @@
 from pandas.io.excel._base import ExcelFile, ExcelWriter, read_excel
-from pandas.io.excel._odswriter import _ODSWriter
-from pandas.io.excel._openpyxl import _OpenpyxlWriter
+from pandas.io.excel._odswriter import ODSWriter as _ODSWriter
+from pandas.io.excel._openpyxl import OpenpyxlWriter as _OpenpyxlWriter
 from pandas.io.excel._util import register_writer
-from pandas.io.excel._xlsxwriter import _XlsxWriter
-from pandas.io.excel._xlwt import _XlwtWriter
+from pandas.io.excel._xlsxwriter import XlsxWriter as _XlsxWriter
+from pandas.io.excel._xlwt import XlwtWriter as _XlwtWriter
 
 __all__ = ["read_excel", "ExcelWriter", "ExcelFile"]
 
diff --git a/pandas/io/excel/_base.py b/pandas/io/excel/_base.py
index d597731ed0ac4..e9634ff0e9a05 100644
--- a/pandas/io/excel/_base.py
+++ b/pandas/io/excel/_base.py
@@ -844,16 +844,16 @@ class ExcelFile:
         - ``pyxlsb`` supports Binary Excel files.
     """
 
-    from pandas.io.excel._odfreader import _ODFReader
-    from pandas.io.excel._openpyxl import _OpenpyxlReader
-    from pandas.io.excel._pyxlsb import _PyxlsbReader
-    from pandas.io.excel._xlrd import _XlrdReader
+    from pandas.io.excel._odfreader import ODFReader
+    from pandas.io.excel._openpyxl import OpenpyxlReader
+    from pandas.io.excel._pyxlsb import PyxlsbReader
+    from pandas.io.excel._xlrd import XlrdReader
 
     _engines: Mapping[str, Any] = {
-        "xlrd": _XlrdReader,
-        "openpyxl": _OpenpyxlReader,
-        "odf": _ODFReader,
-        "pyxlsb": _PyxlsbReader,
+        "xlrd": XlrdReader,
+        "openpyxl": OpenpyxlReader,
+        "odf": ODFReader,
+        "pyxlsb": PyxlsbReader,
     }
 
     def __init__(
diff --git a/pandas/io/excel/_odfreader.py b/pandas/io/excel/_odfreader.py
index 02575ab878f6e..ffb599cdfaaf8 100644
--- a/pandas/io/excel/_odfreader.py
+++ b/pandas/io/excel/_odfreader.py
@@ -10,7 +10,7 @@
 from pandas.io.excel._base import BaseExcelReader
 
 
-class _ODFReader(BaseExcelReader):
+class ODFReader(BaseExcelReader):
     """
     Read tables out of OpenDocument formatted files.
 
diff --git a/pandas/io/excel/_odswriter.py b/pandas/io/excel/_odswriter.py
index e7684012c1d4c..cbac60dfabaa7 100644
--- a/pandas/io/excel/_odswriter.py
+++ b/pandas/io/excel/_odswriter.py
@@ -9,7 +9,7 @@
 from pandas.io.formats.excel import ExcelCell
 
 
-class _ODSWriter(ExcelWriter):
+class ODSWriter(ExcelWriter):
     engine = "odf"
     supported_extensions = (".ods",)
 
diff --git a/pandas/io/excel/_openpyxl.py b/pandas/io/excel/_openpyxl.py
index f395127902101..a5cadf4d93389 100644
--- a/pandas/io/excel/_openpyxl.py
+++ b/pandas/io/excel/_openpyxl.py
@@ -12,7 +12,7 @@
     from openpyxl.descriptors.serialisable import Serialisable
 
 
-class _OpenpyxlWriter(ExcelWriter):
+class OpenpyxlWriter(ExcelWriter):
     engine = "openpyxl"
     supported_extensions = (".xlsx", ".xlsm")
 
@@ -438,7 +438,7 @@ def write_cells(
                                 setattr(xcell, k, v)
 
 
-class _OpenpyxlReader(BaseExcelReader):
+class OpenpyxlReader(BaseExcelReader):
     def __init__(
         self,
         filepath_or_buffer: FilePathOrBuffer,
diff --git a/pandas/io/excel/_pyxlsb.py b/pandas/io/excel/_pyxlsb.py
index 069c3a2eaa643..ac94f4dd3df74 100644
--- a/pandas/io/excel/_pyxlsb.py
+++ b/pandas/io/excel/_pyxlsb.py
@@ -6,7 +6,7 @@
 from pandas.io.excel._base import BaseExcelReader
 
 
-class _PyxlsbReader(BaseExcelReader):
+class PyxlsbReader(BaseExcelReader):
     def __init__(
         self,
         filepath_or_buffer: FilePathOrBuffer,
diff --git a/pandas/io/excel/_xlrd.py b/pandas/io/excel/_xlrd.py
index 9057106fb08e5..dfd5dde0329ae 100644
--- a/pandas/io/excel/_xlrd.py
+++ b/pandas/io/excel/_xlrd.py
@@ -8,7 +8,7 @@
 from pandas.io.excel._base import BaseExcelReader
 
 
-class _XlrdReader(BaseExcelReader):
+class XlrdReader(BaseExcelReader):
     def __init__(self, filepath_or_buffer, storage_options: StorageOptions = None):
         """
         Reader using xlrd engine.
diff --git a/pandas/io/excel/_xlsxwriter.py b/pandas/io/excel/_xlsxwriter.py
index 53f0c94d12e4c..16c4d377d7610 100644
--- a/pandas/io/excel/_xlsxwriter.py
+++ b/pandas/io/excel/_xlsxwriter.py
@@ -158,7 +158,7 @@ def convert(cls, style_dict, num_format_str=None):
         return props
 
 
-class _XlsxWriter(ExcelWriter):
+class XlsxWriter(ExcelWriter):
     engine = "xlsxwriter"
     supported_extensions = (".xlsx",)
 
diff --git a/pandas/io/excel/_xlwt.py b/pandas/io/excel/_xlwt.py
index faebe526d17bd..3592c2684f5a5 100644
--- a/pandas/io/excel/_xlwt.py
+++ b/pandas/io/excel/_xlwt.py
@@ -9,7 +9,7 @@
     from xlwt import XFStyle
 
 
-class _XlwtWriter(ExcelWriter):
+class XlwtWriter(ExcelWriter):
     engine = "xlwt"
     supported_extensions = (".xls",)
 
diff --git a/pandas/util/_test_decorators.py b/pandas/util/_test_decorators.py
index e9deaf3fe67de..0e8f6b933cd97 100644
--- a/pandas/util/_test_decorators.py
+++ b/pandas/util/_test_decorators.py
@@ -33,7 +33,6 @@ def test_foo():
 
 from pandas.compat import IS64, is_platform_windows
 from pandas.compat._optional import import_optional_dependency
-from pandas.compat.numpy import _np_version
 
 from pandas.core.computation.expressions import NUMEXPR_INSTALLED, USE_NUMEXPR
 
@@ -205,7 +204,9 @@ def skip_if_no(package: str, min_version: Optional[str] = None):
 def skip_if_np_lt(ver_str: str, *args, reason: Optional[str] = None):
     if reason is None:
         reason = f"NumPy {ver_str} or greater required"
-    return pytest.mark.skipif(_np_version < LooseVersion(ver_str), *args, reason=reason)
+    return pytest.mark.skipif(
+        np.__version__ < LooseVersion(ver_str), *args, reason=reason
+    )
 
 
 def parametrize_fixture_doc(*args):