diff --git a/tests/queries/0_stateless/02425_categorical_information_value_properties.reference b/tests/queries/0_stateless/02425_categorical_information_value_properties.reference
new file mode 100644
index 00000000000..bc3af98b060
--- /dev/null
+++ b/tests/queries/0_stateless/02425_categorical_information_value_properties.reference
@@ -0,0 +1,12 @@
+0.347
+0.5
+0.347
+0.347
+[nan]
+[nan]
+[nan]
+[nan]
+[0]
+\N
+[nan]
+[0,0]
diff --git a/tests/queries/0_stateless/02425_categorical_information_value_properties.sql b/tests/queries/0_stateless/02425_categorical_information_value_properties.sql
new file mode 100644
index 00000000000..81ed8400680
--- /dev/null
+++ b/tests/queries/0_stateless/02425_categorical_information_value_properties.sql
@@ -0,0 +1,14 @@
+SELECT round(arrayJoin(categoricalInformationValue(x.1, x.2)), 3) FROM (SELECT arrayJoin([(0, 0), (NULL, 2), (1, 0), (1, 1)]) AS x);
+SELECT corr(c1, c2) FROM VALUES((0, 0), (NULL, 2), (1, 0), (1, 1));
+SELECT round(arrayJoin(categoricalInformationValue(c1, c2)), 3) FROM VALUES((0, 0), (NULL, 2), (1, 0), (1, 1));
+SELECT round(arrayJoin(categoricalInformationValue(c1, c2)), 3) FROM VALUES((0, 0), (NULL, 1), (1, 0), (1, 1));
+SELECT categoricalInformationValue(c1, c2) FROM VALUES((0, 0), (NULL, 1));
+SELECT categoricalInformationValue(c1, c2) FROM VALUES((NULL, 1)); -- { serverError 43 }
+SELECT categoricalInformationValue(dummy, dummy);
+SELECT categoricalInformationValue(dummy, dummy) WHERE 0;
+SELECT categoricalInformationValue(c1, c2) FROM VALUES((toNullable(0), 0));
+SELECT groupUniqArray(*) FROM VALUES(toNullable(0));
+SELECT groupUniqArray(*) FROM VALUES(NULL);
+SELECT categoricalInformationValue(c1, c2) FROM VALUES((NULL, NULL)); -- { serverError 43 }
+SELECT categoricalInformationValue(c1, c2) FROM VALUES((0, 0), (NULL, 0));
+SELECT quantiles(0.5, 0.9)(c1) FROM VALUES(0::Nullable(UInt8));