BUG: Fix for MultiIndex to_excel() with index=False.

pandas/core/format.py

@@ -1373,7 +1373,7 @@ def _format_header_mi(self):
         coloffset = 0
         lnum = 0
 
-        if isinstance(self.df.index, MultiIndex):
+        if self.index and isinstance(self.df.index, MultiIndex):
             coloffset = len(self.df.index[0]) - 1
 
         if self.merge_cells:
@@ -1412,10 +1412,11 @@ def _format_header_regular(self):
         has_aliases = isinstance(self.header, (tuple, list, np.ndarray))
         if has_aliases or self.header:
             coloffset = 0
+
             if self.index:
                 coloffset = 1
-            if isinstance(self.df.index, MultiIndex):
-                coloffset = len(self.df.index[0])
+                if isinstance(self.df.index, MultiIndex):
+                    coloffset = len(self.df.index[0])
 
             colnames = self.columns
             if has_aliases:

pandas/io/tests/test_excel.py

@@ -615,7 +615,7 @@ def test_roundtrip_indexlabels(self):
                                   has_index_names=self.merge_cells
                                   ).astype(np.int64)
             frame.index.names = ['test']
-            tm.assert_frame_equal(frame,recons.astype(bool))
+            tm.assert_frame_equal(frame, recons.astype(bool))
 
         with ensure_clean(self.ext) as path:
 
@@ -715,6 +715,31 @@ def test_to_excel_multiindex_dates(self):
             tm.assert_frame_equal(tsframe, recons)
             self.assertEquals(recons.index.names, ('time', 'foo'))
 
+    def test_to_excel_multiindex_no_write_index(self):
+        _skip_if_no_xlrd()
+
+        # Test writing and re-reading a MI witout the index. GH 5616.
+
+        # Initial non-MI frame.
+        frame1 = pd.DataFrame({'a': [10, 20], 'b': [30, 40], 'c': [50, 60]})
+
+        # Add a MI.
+        frame2 = frame1.copy()
+        multi_index = pd.MultiIndex.from_tuples([(70, 80), (90, 100)])
+        frame2.index = multi_index
+
+        with ensure_clean(self.ext) as path:
+
+            # Write out to Excel without the index.
+            frame2.to_excel(path, 'test1', index=False)
+
+            # Read it back in.
+            reader = ExcelFile(path)
+            frame3 = reader.parse('test1')
+
+            # Test that it is the same as the initial frame.
+            tm.assert_frame_equal(frame1, frame3)
+
     def test_to_excel_float_format(self):
         _skip_if_no_xlrd()