diff --git a/test/intl402/Locale/constructor-non-iana-canon.js b/test/intl402/Locale/constructor-non-iana-canon.js
index fe1a79c375..8bc486dccf 100644
--- a/test/intl402/Locale/constructor-non-iana-canon.js
+++ b/test/intl402/Locale/constructor-non-iana-canon.js
@@ -52,9 +52,19 @@ var testData = [
     },
     {
         tag: "aar-x-private",
-    },
+        // "aar" should be canonicalized into "aa" because "aar" matches the type attribute of
+        // a languageAlias element in 
+        // https://www.unicode.org/repos/cldr/trunk/common/supplemental/supplementalMetadata.xml
+        canonical: "aa-x-private",
+        maximized: "aa-Latn-ET-x-private",
+   },
     {
         tag: "heb-x-private",
+        // "heb" should be canonicalized into "he" because "heb" matches the type attribute of
+        // a languageAlias element in 
+        // https://www.unicode.org/repos/cldr/trunk/common/supplemental/supplementalMetadata.xml
+        canonical: "he-x-private",
+        maximized: "he-Hebr-IL-x-private",
     },
     {
         tag: "de-u-kf",
@@ -62,6 +72,11 @@ var testData = [
     },
     {
         tag: "ces",
+        // "ces" should be canonicalized into "cs" because "ces" matches the type attribute of
+        // a languageAlias element in 
+        // https://www.unicode.org/repos/cldr/trunk/common/supplemental/supplementalMetadata.xml
+        canonical: "cs",
+        maximized: "cs-Latn-CZ",
     },
     {
         tag: "hy-arevela",