Hardwood flooring can be installed successfully over a slab which is on-grade, or above grade. Below-grade installations are not recommended. The slab must be constructed properly (dry and flat with a trowel finish).

Here are recommendations by the National Oak Flooring Manufacturers Association.

Here are instructions for laying wood flooring over a concrete slab, including: how to test for excessive moisture, and slab preparation.

Click here for information on laying wood flooring over radiant floor heating.

Here is the home page to the National Oak Flooring Manufacturers Association.