An athletic floor uses a panel-type subfloor to secure directly to a concrete base. The panel-type sections include upper and lower rigid layers which sandwich a resilient layer. The rigidity of the lower layer spans most uneven spots in the floor, while the resilient layer provides some degree of a compressibility and/or conformability, as needed, to provide a flat horizontal surface for supporting a layer of floorboards thereabove. The panel sections can be secured directly to the base, via anchors which secure the lower rigid layers to the base, the anchors residing in access openings formed along the perimeter of the upper rigid layer and in the resilient layer. This anchoring arrangement enables each anchor to hold at least two adjacently located panel sections, and it also eliminates precompression of the resilient layer. The subfloor panel sections are prefabricated, at the factory, and then shipped to the installation site. Overall, a subfloor of panel-type sections of this type provides a high degree of stability, resiliency, and uniformity in these parameters, with simpler and lower cost installation.