diff --git a/docs/python-api.rst b/docs/python-api.rst
index 4d883db..4b143c3 100644
--- a/docs/python-api.rst
+++ b/docs/python-api.rst
@@ -1115,7 +1115,26 @@ You can inspect the database to see the results like this::
 Analyzing a column
 ==================
 
-The ``table.analyze_column(column, common_limit=10, value_truncate=None)`` method is used by the :ref:`analyze-tables <cli_analyze_tables>` CLI command. It returns a ``ColumnDetails`` named tuple with the following fields:
+The ``table.analyze_column(column)`` method is used by the :ref:`analyze-tables <cli_analyze_tables>` CLI command.
+
+It takes the following arguments and options:
+
+``column`` - required
+    The name of the column to analyze
+
+``common_limit``
+    The number of most common values to return. Defaults to 10.
+
+``value_truncate``
+    If set to an integer, values longer than this will be truncated to this length. Defaults to None.
+
+``most_common``
+    If set to False, the ``most_common`` field of the returned ``ColumnDetails`` will be set to None. Defaults to True.
+
+``least_common``
+    If set to False, the ``least_common`` field of the returned ``ColumnDetails`` will be set to None. Defaults to True.
+
+And returns a ``ColumnDetails`` named tuple with the following fields:
 
 ``table``
     The name of the table
@@ -1141,10 +1160,6 @@ The ``table.analyze_column(column, common_limit=10, value_truncate=None)`` metho
 ``least_common``
     The ``N`` least common values as a list of ``(value, count)`` tuples`, or ``None`` if the table is entirely distinct or if the number of distinct values is less than N (since they will already have been returned in ``most_common``)
 
-``N`` defaults to 10, or you can pass a custom ``N`` using the ``common_limit`` parameter.
-
-You can use the ``value_truncate`` parameter to truncate values in the ``most_common`` and ``least_common`` lists to a specified number of characters.
-
 .. _python_api_add_column:
 
 Adding columns
diff --git a/sqlite_utils/db.py b/sqlite_utils/db.py
index bd349e6..850a3ae 100644
--- a/sqlite_utils/db.py
+++ b/sqlite_utils/db.py
@@ -3436,6 +3436,8 @@ class Table(Queryable):
         :param common_limit: Show this many column values
         :param value_truncate: Truncate display of common values to this many characters
         :param total_rows: Optimization - pass the total number of rows in the table to save running a fresh ``count(*)`` query
+        :param most_common: If ``True``, calculate the most common values
+        :param least_common: If ``True``, calculate the least common values
         """
         db = self.db
         table = self.name
diff --git a/tests/test_analyze_tables.py b/tests/test_analyze_tables.py
index 5795a7a..f7c6910 100644
--- a/tests/test_analyze_tables.py
+++ b/tests/test_analyze_tables.py
@@ -25,10 +25,11 @@ def db_to_analyze(fresh_db):
 
 
 @pytest.mark.parametrize(
-    "column,expected",
+    "column,extra_kwargs,expected",
     [
         (
             "id",
+            {},
             ColumnDetails(
                 table="stuff",
                 column="id",
@@ -42,6 +43,7 @@ def db_to_analyze(fresh_db):
         ),
         (
             "owner",
+            {},
             ColumnDetails(
                 table="stuff",
                 column="owner",
@@ -55,6 +57,7 @@ def db_to_analyze(fresh_db):
         ),
         (
             "size",
+            {},
             ColumnDetails(
                 table="stuff",
                 column="size",
@@ -66,11 +69,41 @@ def db_to_analyze(fresh_db):
                 least_common=None,
             ),
         ),
+        (
+            "owner",
+            {"most_common": False},
+            ColumnDetails(
+                table="stuff",
+                column="owner",
+                total_rows=8,
+                num_null=0,
+                num_blank=0,
+                num_distinct=4,
+                most_common=None,
+                least_common=[("Anne", 1), ("Terry...", 2)],
+            ),
+        ),
+        (
+            "owner",
+            {"least_common": False},
+            ColumnDetails(
+                table="stuff",
+                column="owner",
+                total_rows=8,
+                num_null=0,
+                num_blank=0,
+                num_distinct=4,
+                most_common=[("Joan", 3), ("Kumar", 2)],
+                least_common=None,
+            ),
+        ),
     ],
 )
-def test_analyze_column(db_to_analyze, column, expected):
+def test_analyze_column(db_to_analyze, column, extra_kwargs, expected):
     assert (
-        db_to_analyze["stuff"].analyze_column(column, common_limit=2, value_truncate=5)
+        db_to_analyze["stuff"].analyze_column(
+            column, common_limit=2, value_truncate=5, **extra_kwargs
+        )
         == expected
     )