Compound index is not the same as a composite index.
Composite index covers all the columns in your filter, join and select criteria. All of these columns are stored on all of the index pages accordingly throughout the index B-tree.
Compound index covers all the filter and join key columns in the B-tree, but keeps the select columns only on the leaf pages as they will not be searched, rather only extracted!
This saves space and consequently creates less index pages, hence faster I/O.