diff --git a/pandas/tests/window/common.py b/pandas/tests/window/common.py
index 6aeada3152dbb..d1d0fb519aa31 100644
--- a/pandas/tests/window/common.py
+++ b/pandas/tests/window/common.py
@@ -252,43 +252,15 @@ def _test_moments_consistency_var_debiasing_factors(
                 var_debiasing_factors_x = var_debiasing_factors(x)
                 tm.assert_equal(var_unbiased_x, var_biased_x * var_debiasing_factors_x)
 
-    def _test_moments_consistency(
-        self,
-        min_periods,
-        count,
-        mean,
-        corr,
-        var_unbiased=None,
-        std_unbiased=None,
-        cov_unbiased=None,
-        var_biased=None,
-        std_biased=None,
-        cov_biased=None,
+    def _test_moments_consistency_var_data(
+        self, min_periods, count, mean, var_unbiased, var_biased
     ):
-
         for (x, is_constant, no_nans) in self.data:
             count_x = count(x)
             mean_x = mean(x)
-
-            for (std, var, cov) in [
-                (std_biased, var_biased, cov_biased),
-                (std_unbiased, var_unbiased, cov_unbiased),
-            ]:
-
-                # check that var(x), std(x), and cov(x) are all >= 0
+            for var in [var_biased, var_unbiased]:
                 var_x = var(x)
-                std_x = std(x)
                 assert not (var_x < 0).any().any()
-                assert not (std_x < 0).any().any()
-                if cov:
-                    cov_x_x = cov(x, x)
-                    assert not (cov_x_x < 0).any().any()
-
-                    # check that var(x) == cov(x, x)
-                    tm.assert_equal(var_x, cov_x_x)
-
-                # check that var(x) == std(x)^2
-                tm.assert_equal(var_x, std_x * std_x)
 
                 if var is var_biased:
                     # check that biased var(x) == mean(x^2) - mean(x)^2
@@ -304,45 +276,88 @@ def _test_moments_consistency(
                         expected[count_x < 2] = np.nan
                     tm.assert_equal(var_x, expected)
 
-                if isinstance(x, Series):
-                    for (y, is_constant, no_nans) in self.data:
-                        if not x.isna().equals(y.isna()):
-                            # can only easily test two Series with similar
-                            # structure
-                            continue
-
-                        # check that cor(x, y) is symmetric
-                        corr_x_y = corr(x, y)
-                        corr_y_x = corr(y, x)
-                        tm.assert_equal(corr_x_y, corr_y_x)
-
-                        if cov:
-                            # check that cov(x, y) is symmetric
-                            cov_x_y = cov(x, y)
-                            cov_y_x = cov(y, x)
-                            tm.assert_equal(cov_x_y, cov_y_x)
-
-                            # check that cov(x, y) == (var(x+y) - var(x) -
-                            # var(y)) / 2
-                            var_x_plus_y = var(x + y)
-                            var_y = var(y)
-                            tm.assert_equal(
-                                cov_x_y, 0.5 * (var_x_plus_y - var_x - var_y)
-                            )
-
-                            # check that corr(x, y) == cov(x, y) / (std(x) *
-                            # std(y))
-                            std_y = std(y)
-                            tm.assert_equal(corr_x_y, cov_x_y / (std_x * std_y))
-
-                            if cov is cov_biased:
-                                # check that biased cov(x, y) == mean(x*y) -
-                                # mean(x)*mean(y)
-                                mean_y = mean(y)
-                                mean_x_times_y = mean(x * y)
-                                tm.assert_equal(
-                                    cov_x_y, mean_x_times_y - (mean_x * mean_y)
-                                )
+    def _test_moments_consistency_std_data(
+        self, std_unbiased, var_unbiased, std_biased, var_biased
+    ):
+        for (x, is_constant, no_nans) in self.data:
+            for (std, var) in [(std_biased, var_biased), (std_unbiased, var_unbiased)]:
+                var_x = var(x)
+                std_x = std(x)
+                assert not (var_x < 0).any().any()
+                assert not (std_x < 0).any().any()
+
+                # check that var(x) == std(x)^2
+                tm.assert_equal(var_x, std_x * std_x)
+
+    def _test_moments_consistency_cov_data(
+        self, cov_unbiased, var_unbiased, cov_biased, var_biased
+    ):
+        for (x, is_constant, no_nans) in self.data:
+            for (cov, var) in [(cov_biased, var_biased), (cov_unbiased, var_unbiased)]:
+                var_x = var(x)
+                assert not (var_x < 0).any().any()
+                if cov:
+                    cov_x_x = cov(x, x)
+                    assert not (cov_x_x < 0).any().any()
+
+                    # check that var(x) == cov(x, x)
+                    tm.assert_equal(var_x, cov_x_x)
+
+    def _test_moments_consistency_series_data(
+        self,
+        corr,
+        mean,
+        std_biased,
+        std_unbiased,
+        cov_unbiased,
+        var_unbiased,
+        var_biased,
+        cov_biased,
+    ):
+        for (x, is_constant, no_nans) in self.data:
+            if isinstance(x, Series):
+                y = x
+                mean_x = mean(x)
+                if not x.isna().equals(y.isna()):
+                    # can only easily test two Series with similar
+                    # structure
+                    pass
+
+                # check that cor(x, y) is symmetric
+                corr_x_y = corr(x, y)
+                corr_y_x = corr(y, x)
+                tm.assert_equal(corr_x_y, corr_y_x)
+
+                for (std, var, cov) in [
+                    (std_biased, var_biased, cov_biased),
+                    (std_unbiased, var_unbiased, cov_unbiased),
+                ]:
+                    var_x = var(x)
+                    std_x = std(x)
+
+                    if cov:
+                        # check that cov(x, y) is symmetric
+                        cov_x_y = cov(x, y)
+                        cov_y_x = cov(y, x)
+                        tm.assert_equal(cov_x_y, cov_y_x)
+
+                        # check that cov(x, y) == (var(x+y) - var(x) -
+                        # var(y)) / 2
+                        var_x_plus_y = var(x + y)
+                        var_y = var(y)
+                        tm.assert_equal(cov_x_y, 0.5 * (var_x_plus_y - var_x - var_y))
+
+                        # check that corr(x, y) == cov(x, y) / (std(x) *
+                        # std(y))
+                        std_y = std(y)
+                        tm.assert_equal(corr_x_y, cov_x_y / (std_x * std_y))
+
+                        if cov is cov_biased:
+                            # check that biased cov(x, y) == mean(x*y) -
+                            # mean(x)*mean(y)
+                            mean_y = mean(y)
+                            mean_x_times_y = mean(x * y)
+                            tm.assert_equal(cov_x_y, mean_x_times_y - (mean_x * mean_y))
 
     def _check_pairwise_moment(self, dispatch, name, **kwargs):
         def get_result(obj, obj2=None):
diff --git a/pandas/tests/window/moments/test_moments_ewm.py b/pandas/tests/window/moments/test_moments_ewm.py
index 599761259e041..78b086927adfb 100644
--- a/pandas/tests/window/moments/test_moments_ewm.py
+++ b/pandas/tests/window/moments/test_moments_ewm.py
@@ -398,10 +398,90 @@ def _ewma(s, com, min_periods, adjust, ignore_na):
                 )
             ),
         )
-        # test consistency between different ewm* moments
-        self._test_moments_consistency(
-            min_periods=min_periods,
+
+    @pytest.mark.parametrize("min_periods", [0, 1, 2, 3, 4])
+    @pytest.mark.parametrize("adjust", [True, False])
+    @pytest.mark.parametrize("ignore_na", [True, False])
+    def test_ewm_consistency_var(self, min_periods, adjust, ignore_na):
+        com = 3.0
+        self._test_moments_consistency_var_data(
+            min_periods,
             count=lambda x: x.expanding().count(),
+            mean=lambda x: x.ewm(
+                com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+            ).mean(),
+            var_unbiased=lambda x: (
+                x.ewm(
+                    com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+                ).var(bias=False)
+            ),
+            var_biased=lambda x: (
+                x.ewm(
+                    com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+                ).var(bias=True)
+            ),
+        )
+
+    @pytest.mark.parametrize("min_periods", [0, 1, 2, 3, 4])
+    @pytest.mark.parametrize("adjust", [True, False])
+    @pytest.mark.parametrize("ignore_na", [True, False])
+    def test_ewm_consistency_std(self, min_periods, adjust, ignore_na):
+        com = 3.0
+        self._test_moments_consistency_std_data(
+            var_unbiased=lambda x: (
+                x.ewm(
+                    com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+                ).var(bias=False)
+            ),
+            std_unbiased=lambda x: (
+                x.ewm(
+                    com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+                ).std(bias=False)
+            ),
+            var_biased=lambda x: (
+                x.ewm(
+                    com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+                ).var(bias=True)
+            ),
+            std_biased=lambda x: x.ewm(
+                com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+            ).std(bias=True),
+        )
+
+    @pytest.mark.parametrize("min_periods", [0, 1, 2, 3, 4])
+    @pytest.mark.parametrize("adjust", [True, False])
+    @pytest.mark.parametrize("ignore_na", [True, False])
+    def test_ewm_consistency_cov(self, min_periods, adjust, ignore_na):
+        com = 3.0
+        self._test_moments_consistency_cov_data(
+            var_unbiased=lambda x: (
+                x.ewm(
+                    com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+                ).var(bias=False)
+            ),
+            cov_unbiased=lambda x, y: (
+                x.ewm(
+                    com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+                ).cov(y, bias=False)
+            ),
+            var_biased=lambda x: (
+                x.ewm(
+                    com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+                ).var(bias=True)
+            ),
+            cov_biased=lambda x, y: (
+                x.ewm(
+                    com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
+                ).cov(y, bias=True)
+            ),
+        )
+
+    @pytest.mark.parametrize("min_periods", [0, 1, 2, 3, 4])
+    @pytest.mark.parametrize("adjust", [True, False])
+    @pytest.mark.parametrize("ignore_na", [True, False])
+    def test_ewm_consistency_series_data(self, min_periods, adjust, ignore_na):
+        com = 3.0
+        self._test_moments_consistency_series_data(
             mean=lambda x: x.ewm(
                 com=com, min_periods=min_periods, adjust=adjust, ignore_na=ignore_na
             ).mean(),
diff --git a/pandas/tests/window/moments/test_moments_expanding.py b/pandas/tests/window/moments/test_moments_expanding.py
index 9dfaecee9caeb..01940d83a4fa9 100644
--- a/pandas/tests/window/moments/test_moments_expanding.py
+++ b/pandas/tests/window/moments/test_moments_expanding.py
@@ -367,20 +367,6 @@ def test_expanding_consistency(self, min_periods):
                     / (x.expanding().count() - 1.0).replace(0.0, np.nan)
                 ),
             )
-            self._test_moments_consistency(
-                min_periods=min_periods,
-                count=lambda x: x.expanding(min_periods=min_periods).count(),
-                mean=lambda x: x.expanding(min_periods=min_periods).mean(),
-                corr=lambda x, y: x.expanding(min_periods=min_periods).corr(y),
-                var_unbiased=lambda x: x.expanding(min_periods=min_periods).var(),
-                std_unbiased=lambda x: x.expanding(min_periods=min_periods).std(),
-                cov_unbiased=lambda x, y: x.expanding(min_periods=min_periods).cov(y),
-                var_biased=lambda x: x.expanding(min_periods=min_periods).var(ddof=0),
-                std_biased=lambda x: x.expanding(min_periods=min_periods).std(ddof=0),
-                cov_biased=lambda x, y: x.expanding(min_periods=min_periods).cov(
-                    y, ddof=0
-                ),
-            )
 
             # test consistency between expanding_xyz() and either (a)
             # expanding_apply of Series.xyz(), or (b) expanding_apply of
@@ -418,3 +404,44 @@ def test_expanding_consistency(self, min_periods):
                     # GH 9422
                     if name in ["sum", "prod"]:
                         tm.assert_equal(expanding_f_result, expanding_apply_f_result)
+
+    @pytest.mark.parametrize("min_periods", [0, 1, 2, 3, 4])
+    def test_moments_consistency_var(self, min_periods):
+        self._test_moments_consistency_var_data(
+            min_periods=min_periods,
+            count=lambda x: x.expanding(min_periods=min_periods).count(),
+            mean=lambda x: x.expanding(min_periods=min_periods).mean(),
+            var_unbiased=lambda x: x.expanding(min_periods=min_periods).var(),
+            var_biased=lambda x: x.expanding(min_periods=min_periods).var(ddof=0),
+        )
+
+    @pytest.mark.parametrize("min_periods", [0, 1, 2, 3, 4])
+    def test_expanding_consistency_std(self, min_periods):
+        self._test_moments_consistency_std_data(
+            var_unbiased=lambda x: x.expanding(min_periods=min_periods).var(),
+            std_unbiased=lambda x: x.expanding(min_periods=min_periods).std(),
+            var_biased=lambda x: x.expanding(min_periods=min_periods).var(ddof=0),
+            std_biased=lambda x: x.expanding(min_periods=min_periods).std(ddof=0),
+        )
+
+    @pytest.mark.parametrize("min_periods", [0, 1, 2, 3, 4])
+    def test_expanding_consistency_cov(self, min_periods):
+        self._test_moments_consistency_cov_data(
+            var_unbiased=lambda x: x.expanding(min_periods=min_periods).var(),
+            cov_unbiased=lambda x, y: x.expanding(min_periods=min_periods).cov(y),
+            var_biased=lambda x: x.expanding(min_periods=min_periods).var(ddof=0),
+            cov_biased=lambda x, y: x.expanding(min_periods=min_periods).cov(y, ddof=0),
+        )
+
+    @pytest.mark.parametrize("min_periods", [0, 1, 2, 3, 4])
+    def test_expanding_consistency_series(self, min_periods):
+        self._test_moments_consistency_series_data(
+            mean=lambda x: x.expanding(min_periods=min_periods).mean(),
+            corr=lambda x, y: x.expanding(min_periods=min_periods).corr(y),
+            var_unbiased=lambda x: x.expanding(min_periods=min_periods).var(),
+            std_unbiased=lambda x: x.expanding(min_periods=min_periods).std(),
+            cov_unbiased=lambda x, y: x.expanding(min_periods=min_periods).cov(y),
+            var_biased=lambda x: x.expanding(min_periods=min_periods).var(ddof=0),
+            std_biased=lambda x: x.expanding(min_periods=min_periods).std(ddof=0),
+            cov_biased=lambda x, y: x.expanding(min_periods=min_periods).cov(y, ddof=0),
+        )
diff --git a/pandas/tests/window/moments/test_moments_rolling.py b/pandas/tests/window/moments/test_moments_rolling.py
index 3c5352fcd997d..33e870df4d8b2 100644
--- a/pandas/tests/window/moments/test_moments_rolling.py
+++ b/pandas/tests/window/moments/test_moments_rolling.py
@@ -1013,55 +1013,6 @@ def test_rolling_consistency(self, window, min_periods, center):
                 ),
             )
 
-            self._test_moments_consistency(
-                min_periods=min_periods,
-                count=lambda x: (
-                    x.rolling(
-                        window=window, min_periods=min_periods, center=center
-                    ).count()
-                ),
-                mean=lambda x: (
-                    x.rolling(
-                        window=window, min_periods=min_periods, center=center
-                    ).mean()
-                ),
-                corr=lambda x, y: (
-                    x.rolling(
-                        window=window, min_periods=min_periods, center=center
-                    ).corr(y)
-                ),
-                var_unbiased=lambda x: (
-                    x.rolling(
-                        window=window, min_periods=min_periods, center=center
-                    ).var()
-                ),
-                std_unbiased=lambda x: (
-                    x.rolling(
-                        window=window, min_periods=min_periods, center=center
-                    ).std()
-                ),
-                cov_unbiased=lambda x, y: (
-                    x.rolling(
-                        window=window, min_periods=min_periods, center=center
-                    ).cov(y)
-                ),
-                var_biased=lambda x: (
-                    x.rolling(
-                        window=window, min_periods=min_periods, center=center
-                    ).var(ddof=0)
-                ),
-                std_biased=lambda x: (
-                    x.rolling(
-                        window=window, min_periods=min_periods, center=center
-                    ).std(ddof=0)
-                ),
-                cov_biased=lambda x, y: (
-                    x.rolling(
-                        window=window, min_periods=min_periods, center=center
-                    ).cov(y, ddof=0)
-                ),
-            )
-
             # test consistency between rolling_xyz() and either (a)
             # rolling_apply of Series.xyz(), or (b) rolling_apply of
             # np.nanxyz()
@@ -1104,6 +1055,111 @@ def test_rolling_consistency(self, window, min_periods, center):
                     if name in ["sum", "prod"]:
                         tm.assert_equal(rolling_f_result, rolling_apply_f_result)
 
+    @pytest.mark.parametrize(
+        "window,min_periods,center", list(_rolling_consistency_cases())
+    )
+    def test_rolling_consistency_var(self, window, min_periods, center):
+        self._test_moments_consistency_var_data(
+            min_periods,
+            count=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).count()
+            ),
+            mean=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).mean()
+            ),
+            var_unbiased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).var()
+            ),
+            var_biased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).var(
+                    ddof=0
+                )
+            ),
+        )
+
+    @pytest.mark.parametrize(
+        "window,min_periods,center", list(_rolling_consistency_cases())
+    )
+    def test_rolling_consistency_std(self, window, min_periods, center):
+        self._test_moments_consistency_std_data(
+            var_unbiased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).var()
+            ),
+            std_unbiased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).std()
+            ),
+            var_biased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).var(
+                    ddof=0
+                )
+            ),
+            std_biased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).std(
+                    ddof=0
+                )
+            ),
+        )
+
+    @pytest.mark.parametrize(
+        "window,min_periods,center", list(_rolling_consistency_cases())
+    )
+    def test_rolling_consistency_cov(self, window, min_periods, center):
+        self._test_moments_consistency_cov_data(
+            var_unbiased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).var()
+            ),
+            cov_unbiased=lambda x, y: (
+                x.rolling(window=window, min_periods=min_periods, center=center).cov(y)
+            ),
+            var_biased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).var(
+                    ddof=0
+                )
+            ),
+            cov_biased=lambda x, y: (
+                x.rolling(window=window, min_periods=min_periods, center=center).cov(
+                    y, ddof=0
+                )
+            ),
+        )
+
+    @pytest.mark.parametrize(
+        "window,min_periods,center", list(_rolling_consistency_cases())
+    )
+    def test_rolling_consistency_series(self, window, min_periods, center):
+        self._test_moments_consistency_series_data(
+            mean=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).mean()
+            ),
+            corr=lambda x, y: (
+                x.rolling(window=window, min_periods=min_periods, center=center).corr(y)
+            ),
+            var_unbiased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).var()
+            ),
+            std_unbiased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).std()
+            ),
+            cov_unbiased=lambda x, y: (
+                x.rolling(window=window, min_periods=min_periods, center=center).cov(y)
+            ),
+            var_biased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).var(
+                    ddof=0
+                )
+            ),
+            std_biased=lambda x: (
+                x.rolling(window=window, min_periods=min_periods, center=center).std(
+                    ddof=0
+                )
+            ),
+            cov_biased=lambda x, y: (
+                x.rolling(window=window, min_periods=min_periods, center=center).cov(
+                    y, ddof=0
+                )
+            ),
+        )
+
     # binary moments
     def test_rolling_cov(self):
         A = self.series