diff --git a/src/bin/pg_dump/t/002_pg_dump.pl b/src/bin/pg_dump/t/002_pg_dump.pl
index bb59ea3dfcd..9258948b583 100644
--- a/src/bin/pg_dump/t/002_pg_dump.pl
+++ b/src/bin/pg_dump/t/002_pg_dump.pl
@@ -716,8 +716,7 @@ my %full_runs = (
 	no_table_access_method => 1,
 	pg_dumpall_dbprivs => 1,
 	pg_dumpall_exclude => 1,
-	schema_only => 1,
-	schema_only_with_statistics => 1,);
+	schema_only => 1,);
 
 # This is where the actual tests are defined.
 my %tests = (
@@ -934,7 +933,6 @@ my %tests = (
 			no_large_objects => 1,
 			no_owner => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -1489,7 +1487,6 @@ my %tests = (
 		unlike => {
 			binary_upgrade => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			no_large_objects => 1,
 		},
 	},
@@ -1514,7 +1511,6 @@ my %tests = (
 			binary_upgrade => 1,
 			no_large_objects => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -1537,7 +1533,6 @@ my %tests = (
 			binary_upgrade => 1,
 			no_large_objects => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -1704,7 +1699,6 @@ my %tests = (
 		unlike => {
 			no_large_objects => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -1887,7 +1881,6 @@ my %tests = (
 			exclude_test_table => 1,
 			exclude_test_table_data => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -1913,7 +1906,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -1954,7 +1946,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -1978,7 +1969,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -2003,7 +1993,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -2027,7 +2016,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -2051,7 +2039,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -3670,7 +3657,6 @@ my %tests = (
 		unlike => {
 			binary_upgrade => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			exclude_measurement => 1,
 			only_dump_test_schema => 1,
 			test_schema_plus_large_objects => 1,
@@ -4553,7 +4539,6 @@ my %tests = (
 			no_large_objects => 1,
 			no_privs => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -4688,7 +4673,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -4705,7 +4689,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -4906,7 +4889,6 @@ my %tests = (
 			statistics_only => 1,
 			statistics_only_with_schema => 1,
 			statistics_only_with_index => 1,
-			schema_only_with_statistics => 1,
 		},
 		unlike => {
 			exclude_dump_test_schema => 1,
@@ -4935,7 +4917,6 @@ my %tests = (
 			section_post_data => 1,
 			statistics_only => 1,
 			statistics_only_with_schema => 1,
-			schema_only_with_statistics => 1,
 		},
 		unlike => {
 			exclude_dump_test_schema => 1,
@@ -4967,7 +4948,6 @@ my %tests = (
 			statistics_only_with_schema => 1,
 			statistics_only_with_index => 1,
 			statistics_only_with_table => 1,
-			schema_only_with_statistics => 1,
 		},
 		unlike => {
 			no_statistics => 1,