diff --git a/src/bin/pg_dump/t/002_pg_dump.pl b/src/bin/pg_dump/t/002_pg_dump.pl
index dae5641f24e..99bdbcd0867 100644
--- a/src/bin/pg_dump/t/002_pg_dump.pl
+++ b/src/bin/pg_dump/t/002_pg_dump.pl
@@ -985,8 +985,7 @@ 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 = (
@@ -1202,7 +1201,6 @@ my %tests = (
 			no_large_objects => 1,
 			no_owner => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -1756,7 +1754,6 @@ my %tests = (
 		},
 		unlike => {
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			no_large_objects => 1,
 		},
 	},
@@ -1781,7 +1778,6 @@ my %tests = (
 			binary_upgrade => 1,
 			no_large_objects => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -1804,7 +1800,6 @@ my %tests = (
 			binary_upgrade => 1,
 			no_large_objects => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -1971,7 +1966,6 @@ my %tests = (
 		unlike => {
 			no_large_objects => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -2154,7 +2148,6 @@ my %tests = (
 			exclude_test_table => 1,
 			exclude_test_table_data => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -2180,7 +2173,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -2221,7 +2213,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -2245,7 +2236,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -2270,7 +2260,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -2294,7 +2283,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -2318,7 +2306,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -3800,7 +3787,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -3973,7 +3959,6 @@ 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,
@@ -4856,7 +4841,6 @@ my %tests = (
 			no_large_objects => 1,
 			no_privs => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 		},
 	},
 
@@ -4975,7 +4959,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -4992,7 +4975,6 @@ my %tests = (
 			binary_upgrade => 1,
 			exclude_dump_test_schema => 1,
 			schema_only => 1,
-			schema_only_with_statistics => 1,
 			only_dump_measurement => 1,
 		},
 	},
@@ -5193,7 +5175,6 @@ 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,
@@ -5225,7 +5206,6 @@ 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,